Quantum complexity theory. Medical search. Frequent questions

An expert in theoretical physics, with a specialization in quantum information science, Stephen studies quantum algorithms, complexity theory and post-quantum cryptography. (nist.gov)
Position-based Quantum Cryptography and Catalytic Computation Florian Speelman Abstract: In this thesis, we present several results along two different lines of research. (uva.nl)
The first part concerns the study of position-based quantum cryptography, a topic in quantum cryptography. (uva.nl)
Part I: Position-based quantum cryptography ------------------------------------------- By combining quantum mechanics with special relativity theory, new cryptographic tasks can be developed that use the causality constraints of relativity theory in a constructive way. (uva.nl)
After earlier proposals, which used only classical information, were shown to be insecure, new schemes for position-based cryptography that used quantum information at first seemed promising. (uva.nl)
This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. (freecomputerbooks.com)
We apply the proposed attacks on CRYSTALS-Kyber and CRYSTALS-Dilithium, two of the finalists in the NIST post-quantum cryptography project and present new lower complexity numbers, both classically and quantumly in the core-SVP model. (lu.se)

The techniques there give a time hierarchy with 1 bit of advice for "any reasonable" semantic model of computing, including quantum algorithms. (stackexchange.com)
This should apply to quantum algorithms also. (stackexchange.com)
So the answer is, decent hierarchy theorems are known for quantum algorithms that either get 1 bit of advice or are allowed to ignore problematic inputs. (stackexchange.com)
It would be interesting to try and exploit the properties of quantum algorithms in the area of hierarchy theorems. (stackexchange.com)
A somewhat related area where there are results specific to quantum algorithms is the area of time-space lower bounds. (stackexchange.com)
There are problems that, to solve them on a classical computer, scale very bad with the input parameter (namely, exponential), whereas we know about quantum algorithms that do it much better (scaling wise). (stackexchange.com)
And a quantum computer can run quantum algorithms! (stackexchange.com)
It should be noted that we only know about a handful of quantum algorithms that perform exponentially faster than their best-known classical counterparts - and Grover is not one of them. (stackexchange.com)
the QAOA outperforms all known classical algorithms then it will achieve Quantum Supremacy in an algorithmic sense. (stackexchange.com)
Michele Mosca obtained a DPhil in quantum computer algorithms in 1999 at the University of Oxford. (google.ca)
This book systematically explores the statistical characteristics of cryptographic systems, the computational complexity theory of cryptographic algorithms and the mathematical principles behind various encryption and decryption algorithms. (freecomputerbooks.com)

Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational model based on quantum mechanics. (wikipedia.org)
It studies the hardness of computational problems in relation to these complexity classes, as well as the relationship between quantum complexity classes and classical (i.e., non-quantum) complexity classes. (wikipedia.org)
A complexity class is a collection of computational problems that can be solved by a computational model under certain resource constraints. (wikipedia.org)
Both quantum computational complexity of functions and classical computational complexity of functions are often expressed with asymptotic notation. (wikipedia.org)
However, prior familiarity with topics such as quantum mechanics and computational complexity is not required. (google.ca)
His Master's thesis was entitled 'Quantum Networks for Concentrating Entanglement, and a Logical Characterization of the Computational Complexity Class BPP. (google.ca)
In Proceedings of the 35th Computational Complexity Conference, pages 1-47, 2020. (dagstuhl.de)
His research interests are in computational complexity theory, including quantum complexity. (warwick.ac.uk)
Computational Complexity: Did YOU think the NSA could factor fast? (computationalcomplexity.org)
His main research area is computational complexity theory. (ias.edu)
His research interests center around the capabilities and limits of quantum computers, and computational complexity theory more generally. (lifeboat.com)
By studying garden-hose complexity, we characterize a class of teleportation attacks on the family of schemes, and show a surprising relationship between their security and open problems in computational complexity theory. (uva.nl)
The main purpose of this book is to focus on the computational complexity theory of lattice ciphers. (freecomputerbooks.com)
The second emphasis of the workshop will thus be on applications of efficient tensor representations to theoretical computer science, particularly computational complexity theory. (ucla.edu)
His wide-ranging research interests include complexity theory, computational geometry and quantum computing. (umich.edu)
Quantum machines will be able to crack some of these advanced computational problems in hours or even minutes. (deloitte.com)
5 To date, both Google and a group of Chinese researchers have announced successful demonstrations of quantum advantage-also known as quantum primacy or quantum supremacy-the point at which a quantum computer's ability to solve a computational task outstrips the abilities of the fastest supercomputer to do the same. (deloitte.com)

Similarly, quantum complexity classes may be defined using quantum models of computation, such as the quantum circuit model or the equivalent quantum Turing machine. (wikipedia.org)
It is unclear whether the Church-Turing thesis holds for the quantum computation model. (wikipedia.org)
It may not be possible for a probabilistic Turing machine to simulate quantum computation models in polynomial time. (wikipedia.org)
Computation of circuit complexity has gained much attention in the Theoretical Physics community in recent times to gain insights into the chaotic features and random fluctuations of fields in the quantum regime. (arxiv.org)
He holds a Premier's Research Excellence Award (2000-2005), is the Canada Research Chair in Quantum Computation (since January 2002), and is a CIAR scholar (since September 2003). (google.ca)
The field of quantum computation heavily relies on the belief that quantum computation violates the extended Church Turing thesis, namely, that quantum many body systems cannot be simulated by classical ones with only polynomially growing overhead. (weizmann.ac.il)
Foundations of Software Science and Computation Structures − 16th International Conference‚ FOSSACS 2013‚ Held as Part of the European Joint Conferences on Theory and Practice of Software‚ ETAPS 2013‚ Rome‚ Italy‚ March 16−24‚ 2013. (ox.ac.uk)
The Quantum Computation Research Center aims to build a central hub for quantum computing research and is making strong efforts to internationalize the faculty members from different culture and ethnic backgrounds. (cas.cn)
In particular, his interests include simulating chemistry and particle physics on quantum computers, applying methods from physics and topology to computer science, and investigating alternative models of quantum computation, such as the adiabatic, permutational and one-clean-qubit models. (nist.gov)
Can quantum mechanics enhance efficient computation? (ias.edu)
In the second part we introduce a new notion of computation, catalytic computation, and study this new model within complexity theory. (uva.nl)
We combine techniques from blind and delegated quantum computation with the new garden-hose model and construct new efficient attacks on these schemes. (uva.nl)

He is a co-founder and the Deputy Director of the Institute for Quantum Computing, and a founding member of the Perimeter Institute for Theoretical Physics. (google.ca)
However, in recent decades, theoretical physics has provided some plausible conjecture to bridge this gap and to describe the behavior of complex quantum many-body systems, for example black holes and wormholes in the universe. (lifeboat.com)
In Peter Selinger and Giulio Chiribella, editors, Proceedings 15th International Conference on Quantum Physics and Logic‚ QPL 2018‚ Halifax‚ Canada‚ 3−7th June 2018 . (ox.ac.uk)
Quantum computers promise to perform certain tasks exponentially faster than conventional computers, including code breaking, and simulations for chemistry, physics, and materials science. (nist.gov)
Stephen Jordan earned his PhD in physics from MIT in 2008, and from 2008-2011 was the Sherman Fairchild Prize Postodctoral Fellow at Caltech's Institute for Quantum Information. (nist.gov)
Black holes and wormholes in the universe are complex many body systems and require a deeper understanding of space, time, gravity and quantum physics. (scitechdaily.com)
Reference: "Linear growth of quantum circuit complexity" by Jonas Haferkamp, Philippe Faist, Naga B. T. Kothakonda, Jens Eisert and Nicole Yunger Halpern, 28 March 2022, Nature Physics . (scitechdaily.com)
Honestly, most of the paper is over my head-both the lattice-reduction math and the quantum physics. (schneier.com)
By leveraging the quirky properties of quantum mechanics-a branch of physics that describes the behaviour of such particles as atoms, photons and electrons-quantum technologies are expected to enable innovations in drug and materials discovery, financial portfolio management, climate and weather modelling, fabrication optimisation and behavioural analytics, among many others. (deloitte.com)
We already have machines that answer our questions in ways we can't fully appreciate: from quantum computers, whose physics remain opaque, to data-crunching black boxes that translate languages and recognise faces despite knowing nothing of grammar or physiology. (laetusinpraesens.org)
Quantum computers may provide a way to overcome this obstacle as they can simulate certain aspects of elementary particle physics in a well-controlled quantum system. (earthscape.org)
These diseasestend to follow a modelsimilar to that of quantum physics. (bvsalud.org)
The main topics of this Course include fundamental physics applications of machine learning and artificial intelligence including quantum machine learning. (lu.se)
The theory group in Lund has been a pioneer in the field of event generators for high energy physics, with particular emphasis on Quantum Chromodynamics (QCD), since the inception of the field in the late 1970s. (lu.se)
Many physics mechanisms are at play in these collisions, but common is that quantum mechanical choices between different possible outcomes have to be applied at each stage of the collision. (lu.se)

One of the reasons quantum complexity theory is studied are the implications of quantum computing for the modern Church-Turing thesis. (wikipedia.org)
However, questions around the Church-Turing thesis arise in the context of quantum computing. (wikipedia.org)
I wanted to know then if there was anything similar for Quantum Computing. (stackexchange.com)
Quantum Computing Stack Exchange is a question and answer site for engineers, scientists, programmers, and computing professionals interested in quantum computing. (stackexchange.com)
This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. (google.ca)
Is Quantum Computing Real? (acm.org)
The global enterprise quantum computing market is witnessing considerable growth. (globenewswire.com)
According to Market Research Future (MRFR), the global enterprise quantum computing market would reach approximately USD 2.5 BN by 2023. (globenewswire.com)
Rising awareness about quantum computing is increasing the adoption of these solutions in sectors such as BFSI, defense, and automotive. (globenewswire.com)
Moreover, increasing the rate of cyber crimes and the stringency of government initiatives in developing quantum computing technology are some of the other major driving force behind the growth of the market. (globenewswire.com)
North America would retain its dominance over the global enterprise quantum computing market throughout the forecast period. (globenewswire.com)
Factors such as usages of quantum computers by government agencies and aerospace & defense for machine learning are increasing investments for research and development of quantum computing technology. (globenewswire.com)
The US, among other North American countries, currently holds the highest market share in the regional enterprise quantum computing market. (globenewswire.com)
The enterprise quantum computing market holds the second biggest share in the global market. (globenewswire.com)
The presence of significant players such as Cambridge Quantum Computing Ltd has facilitated the development of quantum technology in the region. (globenewswire.com)
The Asia Pacific enterprise quantum computing market is a promising market expected to show positive growth over the review period. (globenewswire.com)
Major developments on quantum computing technology are largely carried out in countries such as China and South Korea. (globenewswire.com)
Countries witnessing the use of quantum computers for optimization of tasks would show huge growth in enterprise quantum computing market by the forecast period. (globenewswire.com)
April 25, 2019 ---- IBM Corporation (the US), a technology giant, announced the collaboration with the University of Waterloo for quantum computing research. (globenewswire.com)
Conway comes to Cornell from the research arm of VMware, a cloud computing and virtualization technology company, where his work spanned every aspect from theory to systems to product. (cornell.edu)
But this is something the IBM quantum computing people can test right now. (schneier.com)
In this article, we seek to demystify quantum technology for business leaders and shed light on three key quantum use cases-complex computing problems, communication and sensing. (deloitte.com)
We'll explore promising applications in each of these areas, paying particular attention to quantum computing (figure 1). (deloitte.com)
Sometimes characterised as computing's next great evolution, quantum computing is touted for its potential to solve problems previously thought of as intractable, i.e., those that can be solved in theory, but whose complexity far exceeds the capabilities of today's most powerful supercomputers. (deloitte.com)
Quantum computers exploit quantum phenomena for information processing and calculations, using quantum bits or "qubits"-loosely analogous to traditional computing bits but far more versatile. (deloitte.com)
And there's a key difference between the qubits at the heart of quantum systems and the traditional computing bits under the average laptop's hood: Classical computer bits linearly increase computing capability, whereas each qubit doubles a quantum system's computing capability. (deloitte.com)
The main focus of the Course is to connect the mathematical foundation of complex systems to quantum computing and artificial intelligence, and to elucidate the applications of these approaches in several different fields of natural sciences. (lu.se)

Also, compatibility issues within low-temperature requirements and the use of quantum entanglement during network communication are posing challenges to market growth. (globenewswire.com)
In holography, the quantum extremal surface formula relates the entropy of a boundary state to the sum of two terms: the area term and the entropy of bulk fields inside the entanglement wedge. (pirsa.org)

Quantum key distribution, in which communications are protected against eavesdroppers by the laws of quantum mechanics, has already been commercialized, as have various quantum-information-based technologies for precision sensing, timing, and navigation. (nist.gov)
He also has written about consciousness and personal identity and the relevance of quantum mechanics to these issues. (lifeboat.com)
Aptly entitled "Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity" to focus on Gell-Mann's achievements in these fields, the three-day conference was a festival of lectures and discussions that attracted more than 150 participants from 22 countries. (cerncourier.com)
Then, in around 1980, Gell-Mann switched his interest towards the foundations of quantum mechanics, quantum cosmology and string theory. (cerncourier.com)
This may provide a new way to interpret the origin of quantum mechanics, and hence a new approach to the gravitational force. (cerncourier.com)
We propose a Quantum theory of baro-mechanics to help understand the complexity that surrounds metabolic disease, especially obesity. (bvsalud.org)

Is it possible to convert classical cryptographic reductions into post-quantum ones? (weizmann.ac.il)
However, when considering quantum auxiliary input, this conversion results in a non-constructive post-quantum reduction that requires duplicating the quantum auxiliary input, which is in general inefficient or even impossible. (weizmann.ac.il)
We initiate the study of constructive quantum reductions and present positive and negative results for converting large classes of classical reductions to the post-quantum setting in a constructive manner. (weizmann.ac.il)
We show that any non-interactive non-adaptive reduction from assumptions with a polynomial solution space (such as decision assumptions) can be made post-quantum constructive. (weizmann.ac.il)

2. Michael C. Hamilton, Ran Cheng, Uday S Goteti, Harrison Walker, Keith M Krause, and Luke Oeding, Towards Learning in Neuromorphic Circuits Based on Quantum Phase Slip Junctions, Frontiers in Neuroscience - Neural Technology 15, (2021). (auburn.edu)

What the researchers have done is combine classical lattice reduction factoring techniques with a quantum approximate optimization algorithm. (schneier.com)
Here, we report a universal quantum algorithm for integer factorization by combining the classical lattice reduction with a quantum approximate optimization algorithm (QAOA). (schneier.com)
Physicists from the University of Innsbruck and the Institute for Quantum Optics and Quantum Information (IQOQI) at the Austrian Academy of Sciences have now done exactly that: In an international first, Rainer Blatt's and Peter Zoller's research teams have simulated lattice gauge theories in a quantum computer. (earthscape.org)
Here, we develop a novel spin representation for lattice protein folding tailored for quantum annealing. (lu.se)
With a distributed encoding onto the lattice, it differs from earlier attempts to fold lattice proteins on quantum annealers, which were based upon chain growth techniques. (lu.se)
In quantum binary variables encoding bead coordinates on the lattice, and annealing (QA) [3-5], the idea is to encode the solution to a an additional set of auxiliary binary variables had to be added given optimization problem in the ground state of a Hamilto- in order to obtain a quadratic Hamiltonian. (lu.se)

Quantum annealing is a promising approach for obtaining good approximate solutions to difficult optimization problems. (lu.se)
The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. (lu.se)

I also read that current quantum computers lack error-correcting qubits to create a reduction of Grovers algorithm on 3SAT. (stackexchange.com)
First and foremost, complexity-theory wise, it doesn't matter how many qubits a current or future system has - from a complexity classes point of view, a quantum computer 'is' a quantum computer, and a classical computer 'is' a classical computer. (stackexchange.com)
We demonstrate the algorithm experimentally by factoring integers up to 48 bits with 10 superconducting qubits, the largest integer factored on a quantum device. (schneier.com)
We estimate that a quantum circuit with 372 physical qubits and a depth of thousands is necessary to challenge RSA-2048 using our algorithm. (schneier.com)
Qubits are notoriously unstable and are required to be isolated in a controlled quantum state. (deloitte.com)
Some quantum machines do this by cooling qubits to temperatures of hundreds of degrees below freezing 2 -colder than even outer space-while others entrap them in ultra-high vacuum chambers. (deloitte.com)
In addition, duplicating qubits or even reading them collapses the delicate quantum state, complicating the process of programming, testing and debugging. (deloitte.com)

Quantum information theory: Quantum complexity grows linearly for an exponentially long time. (lifeboat.com)
Physicists Adam Brown and Leonard Susskind from Stanford University formulated this intuition as a mathematical conjecture: the quantum complexity of a many-particle system should first grow linearly for astronomically long times and then - for even longer - remain in a state of maximum complexity. (scitechdaily.com)
The group has now shown that the quantum complexity of random circuits indeed increases linearly with time until it saturates at a point in time that is exponential to the system size. (scitechdaily.com)

Now, a theory group at Freie Universität Berlin and HZB, together with Harvard University, USA, has proven a mathematical conjecture about the behavior of complexity in such systems, increasing the viability of this bridge. (lifeboat.com)

Second, by showing distinguishing reversible circuits with ancillary random bits is StoqMA-complete (as a comparison, distinguishing quantum circuits is QMA-complete [Janzing et al. (dagstuhl.de)
Complex quantum many-body systems can be reconstructed by circuits of so-called quantum bits. (scitechdaily.com)
The difficulty in proving the conjecture arises from the fact that it can hardly be ruled out that there are "shortcuts," i.e. random circuits with much lower complexity than expected. (scitechdaily.com)
In the next chapter we continue our study of the use of quantum information in position verification, but now our attention turns to a different class of protocols: those that that can be written using a class of small quantum circuits, those with low T-gate complexity. (uva.nl)

Our study shows great promise in expediting the application of current noisy quantum computers, and paves the way to factor large integers of realistic cryptographic significance. (schneier.com)

In this talk, I will explain how the recent developments on von Neumann algebras appearing in the large N limit of holography allow to prove this claim within the framework of holographic quantum error correction, and to reinterpret it as an instance of the ER=EPR paradigm. (pirsa.org)
The construction of a scalable general-purpose quantum computer remains a relatively distant goal, but advances in quantum error correction over the last five years have sparked a surge in investment by both government and industry across the globe. (nist.gov)

Why does QAOA achieve quantum supremacy in an algorithmic sense? (stackexchange.com)

For instance, the complexity class P is defined as the set of problems solvable by a Turing machine in polynomial time. (wikipedia.org)
More formally, BQP is the class of problems that can be solved by a polynomial-time quantum Turing machine with error probability of at most 1/3. (wikipedia.org)
As a class of probabilistic problems, BQP is the quantum counterpart to BPP ("bounded error, probabilistic, polynomial time"), the class of problems that can be efficiently solved by probabilistic Turing machines with bounded error. (wikipedia.org)
As far as I know, quantum computers are able to solve only some of the NP-Problems in polynomial time, using the Grovers algorithm. (stackexchange.com)
As explained above, there are some known problems that can be solved by quantum computers in polynomial time, while the best known method for classical computers scales exponentially (to some degree) ~ the quintessential example is Shor's algorithm to factor large coprime numbers. (stackexchange.com)
We give a polynomial time classical algorithm for sampling from the output distribution of a noisy random quantum circuit in the regime of anti-concentration to within inverse polynomial total variation distance. (weizmann.ac.il)

Quantum information science, which originated in the 70s and 80s in the thought experiments of philosophically minded physicists, is now yielding real-world technologies. (nist.gov)
Using only pen and paper, i.e. purely analytically, the Berlin physicists Jonas Haferkamp, Philippe Faist, Naga Kothakonda and Jens Eisert, together with Nicole Yunger Halpern (Harvard, now Maryland), have succeeded in proving a conjecture that has major implications for complex quantum many-body systems. (scitechdaily.com)

quantum simulation of quantum field theories and quantum gravity. (pirsa.org)
This redundancy in description is also called the holographic principle and is an important approach to unifying quantum theory and gravity. (scitechdaily.com)

We prove several smaller results on the new model and additionally introduce natural variants: the randomized garden-hose model, where the players share a random string, and the quantum garden-hose model, where Alice and Bob have access to a pre-shared entangled quantum state. (uva.nl)

We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. (iitk.ac.in)

The first Israel Quantum Information Theory Day workshop will be held on 21/12/2022 at the Weizmann Institute of Science. (weizmann.ac.il)

Recent studies of circuit complexity take inspiration from Nielsen's geometric approach, which is based on the idea of optimal quantum control in which a cost function is introduced for the various possible path to determine the optimum circuit. (arxiv.org)
In this paper, we study the relationship between the circuit complexity and Morse theory within the framework of algebraic topology, which will then help us study circuit complexity in supersymmetric quantum field theory describing both simple and inverted harmonic oscillators up to higher orders of quantum corrections. (arxiv.org)
The expression of circuit complexity in quantum regime would then be given by the Hessian of the Morse function in supersymmetric quantum field theory. (arxiv.org)
We also provide technical proof of the well known universal connecting relation between quantum chaos and circuit complexity of the supersymmetric quantum field theories, using the general description of Morse theory. (arxiv.org)

In particular I will mention logistics optimisation, quantum chemistry and protein folding. (lu.se)

begingroup$ I think Tsuyoshi interpreted the exclamation mark in your last sentence as an accusation to quantum researchers of not working on important results. (stackexchange.com)

This generalizes the celebrated result of Grover and a number of more recent results, including the element distinctnesss result of Ambainis and the result of Ambainis, Kempe and Rivosh that computes properties of quantum walks on the $d$-dimensional torus. (umich.edu)

Gerard 't Hooft of Utrecht University - another Nobel laureate - presented a possible mathematical relationship between cellular automata and quantum-field theories. (cerncourier.com)

In this talk I will give an overview of quantum information technologies, the foundations of their operation, their history, and their prospects. (nist.gov)

In fact, it is further conjectured that complexity and the volume of wormholes are one and the same quantity from two different perspectives. (scitechdaily.com)

Can quantum computer solve NP-complete problems? (stackexchange.com)
In that sense, a quantum computer is tremendously slow (if, at all). (stackexchange.com)
A fancy modern (classical) desktop computer can have 8 cores, which all can take billions of rudimentary steps per second - a quantum computer is not gonna top that for a long time (and I believe never). (stackexchange.com)
But that's not the point of the quantum computer - the point is that it can be extremely efficient . (stackexchange.com)
Or in the case of the Deutsch problem, where a perfect quantum computer needs to evaluate the blackbox function only once, and a classical computer would need to evalue it twice, then you can say 'the quantum computer can solve the problem with a small number of evaluations of the blackbox which is impossible to match by a classical computer. (stackexchange.com)
The NSA has a quantum computer that factors quickly. (computationalcomplexity.org)
Theory and Practice of Computer Graphics‚ Rutherford‚ United Kingdom‚ 2012. (ox.ac.uk)
He joined the NIST Information Technology Laboratory in April 2011, and since 2014 has been a Fellow of the NIST/UMD Joint Center for Quantum Information and Computer Science (QuICS). (nist.gov)
We have long known from Shor's algorithm that factoring with a quantum computer is easy. (schneier.com)
But it takes a big quantum computer, on the orders of millions of qbits, to factor anything resembling the key sizes we use today. (schneier.com)
This means that they only need a quantum computer with 372 qbits, which is well within what's possible today. (schneier.com)
The IBM Osprey is a 433-qbit quantum computer, for example. (schneier.com)
The Chinese group didn't have that large a quantum computer to work with. (schneier.com)
They were able to factor 48-bit numbers using a 10-qbit quantum computer. (schneier.com)
In the new paper, the authors spend page after page saying-without-saying that it might soon become possible to break RSA-2048, using a NISQ (i.e., non-fault-tolerant) quantum computer. (schneier.com)
In this talk, I'll give a brief overview of the ongoing efforts to build a superconducting quantum computer in the Wallenberg Center for Quantum Technology (WACQT). (lu.se)

Following posts at UBC, Cambridge and Los Alamos National Laboratory, Raymond moved to the University of Waterloo in 2001 as a Canada Research Chair in Quantum Information. (google.ca)
Raymond is a recipient of Ontario's Premier Research Award and a Director of the Quantum Information program of the Canadian Institute for Advanced Research. (google.ca)
Several research institutes and scientists are carrying out research programs to understand the practical capacity of quantum computers truly. (globenewswire.com)
4 Because of these technical demands, the availability of a sophisticated, fault-tolerant quantum system at enterprise scale will take some time, as it relies on the unpredictable timetables of research and development in progress in labs across the globe. (deloitte.com)
Authors are solicited to contribute to the journals by submitting articles that illustrate research results, projects, surveying works and industrial experiences that describe significant advances in the areas of Information Theory and applications. (airccse.org)

My favourite theorem in complexity theory is the Time hierarchy theorem. (stackexchange.com)
quantum hierarchy theorem or not. (stackexchange.com)
I don't know of any groups working on a quantum time hierarchy theorem. (stackexchange.com)

A Novel MIMO SAR Echo Separation Solution for Reducing the System Complexity: Spectrum Preprocessing and Segment Synthesis (IEEE Transactions on Geoscience and Remote Sensing, 2023). (lu.se)

Technology giants, governments and early-stage startups are investing billions in a race to achieve quantum breakthroughs, 1 while experts debate claims of quantum advances. (deloitte.com)

6 Eventually, when quantum computers are able to easily solve complex real-world problems, they could upend the traditional long-term relationship between risk and return, potentially requiring business and government leaders to rethink the organisational and societal implications of quantum problem-solving. (deloitte.com)

As special-purpose tools for completing highly specialised calculations, quantum computers are probably not going to replace classical computers. (deloitte.com)
These calculations are necessary to account for the effects of higher-order quantum corrections on the interactions between subatomic particles, which can have a significant impact on the outcomes of collisions. (lu.se)
The calculations were performed on a D-Wave Advantage quantum annealer. (lu.se)
In quantum meachanics, calculations provide the probability for different outcomes of a measurement. (lu.se)

Our results provide a solid basis for understanding the physical properties of chaotic quantum systems, from black holes to complex many-body systems," Eisert adds. (lifeboat.com)
Can anyone provide references to other "black holes" in complexity theory, or another place where this or related concepts are discussed? (stackexchange.com)

Positioning protocols will likely use photons as carriers of quantum information, possibly traveling in optical fiber. (uva.nl)

This led to the unveiling of links between the global economy, organizational dynamics and complexity science, highlighted in her second book, Business Intelligence Success Factors, Aligning for Success in a Global Economy (Wiley/SAS, 2009). (voiceamerica.com)

It is known that B P P ⊆ B Q P {\displaystyle {\mathsf {BPP\subseteq BQP}}} and widely suspected, but not proven, that B Q P ⊈ B P P {\displaystyle {\mathsf {BQP\nsubseteq BPP}}} , which intuitively would mean that quantum computers are more powerful than classical computers in terms of time complexity. (wikipedia.org)
that is, the class of problems that can be efficiently solved by quantum computers includes all problems that can be efficiently solved by deterministic classical computers but does not include any problems that cannot be solved by classical computers with polynomial space resources. (wikipedia.org)
It is further suspected that BQP is a strict superset of P, meaning there are problems that are efficiently solvable by quantum computers that are not efficiently solvable by deterministic classical computers. (wikipedia.org)
Increasing implementation of machine learning and quantum computers in order to recognize objects by detecting recurring patterns attributes to the growth of the market. (globenewswire.com)
Owing to factors such as the wide adoption of quantum computers by the BFSI sector in APAC countries like China, Japan, and others, the regional market has seen a sudden hike. (globenewswire.com)
Specifically, they claim the microtubules are quantum computers that grant a person the ability to perform non-computable computations (and Penrose claims these kinds of computations are necessary for things like mathematical understanding). (lifeboat.com)
But this Chinese team realized that the step that killed the whole thing could be solved by small quantum computers. (schneier.com)
While most laptops today can solve the same problems as early-stage quantum computers, quantum capability is growing exponentially. (deloitte.com)
Within a decade, quantum computers are expected to be able to accelerate solutions to a large range of problems in numerous industries. (deloitte.com)
Both organisations say their quantum computers completed in less than 5 minutes carefully constructed tasks that would have taken classical supercomputers thousands or even billions of years to complete. (deloitte.com)
However, many aspects of this theory are still not understood because their complexity makes it hard to investigate them with classical computers. (earthscape.org)

on MathOverflow and Semantic vs. Syntactic Complexity Classes on cstheory. (stackexchange.com)
Second, they typically argue that in genetics and evolutionary biology, information language is used in a semantic sense, whereas semantics are deliberately omitted from Shannon's theory. (philpapers.org)

One of the main aims of quantum complexity theory is to find out how these classes relate to classical complexity classes such as P, NP, BPP, and PSPACE. (wikipedia.org)
Any problem for which the (classical) algorithm scales polynomial with the input parameter is in P, any problem for which the (quantum) algorithm scales polynomial with the input parameter is in BQP, etc. (stackexchange.com)
Of course, this also depends on the definition of quantum supremacy but for me quantum supremacy would mean that no classical algorithm can exist at all that solves the problem in a better way than a quantum algorithm. (stackexchange.com)
In this paper, we show hardness of a classical tiling problem on an $N \times N$ $2$-dimensional grid and a quantum problem involving finding the ground state energy of a $1$-dimensional quantum system of $N$ particles. (iitk.ac.in)
We show that the classical problem is $\NEXP$-complete and the quantum problem is $\QMAEXP$-complete. (iitk.ac.in)
We show that the quantum escape time, just like its classical version, depends on the spectral properties of the transition matrix with the marked rows and columns deleted. (umich.edu)
We provide a generic construction to turn any classical Zero-Knowledge (ZK) protocol into a composable (quantum) oblivious transfer (OT) protocol, mostly lifting the round-complexity properties and security guarantees (plain-model/statistical security/unstructured functions…) of the ZK protocol to the resulting OT protocol. (iacr.org)
At the heart of our construction lies a new method that allows us to prove properties on a received quantum state without revealing (too much) information on it, even in a non-interactive way and/or with statistical guarantees when using an appropriate classical ZK protocol. (iacr.org)
Also, we show that Kyber768 could be solved with classical gate complexity below its claimed security level. (lu.se)
These results are obtained by the commonly used hybrid quantum-classical approach. (lu.se)

The symposium aims at bringing together researchers working at the intersection of logic, game theory and multiagent systems, in order to identify the key issues, problems, and techniques in the application of logic to games and multiagent systems. (uva.nl)
These include low-rank decompositions which capture latent structures, or tensor networks that are tailored to quantum many-body systems with local interactions. (ucla.edu)
NMR, water molecules can be monitored selectively in systems of arbitrary complexity and the single-molecule rotational correlation time t can be accurately determined from spin relaxation experiments.7 Provided that solute-water hydrogen exchange is not an issue, 2H NMR can be used in the same way. (lu.se)

All of the talks were on Game Theory/Social Networks/Auctions/Internet stuff. (computationalcomplexity.org)
In addition, there areentries on major mathematicians and on topics of more general interest,such as fractals, game theory, and chaos. (lu.se)

An experimental researcher can use a simulation to compare theory with data obtained in large collider experiments, such as the Large Hadron Collider at CERN. (lu.se)

I read here that 'similar theorems are not known for probabilistic time or quantum time. (stackexchange.com)

If that were the case, then 'quantum supremacy' would almost not exist at all. (stackexchange.com)
But the word 'quantum supremacy' should be avoided for exactly the confusion you're undergoing here. (stackexchange.com)
A major effort towards providing evidence for quantum advantage concentrate on "quantum supremacy" experiments via quantum random circuit sampling (RCS). (weizmann.ac.il)
It should be noted that our algorithm is not practical in its current form, and does not address finite-size RCS based quantum supremacy experiments. (weizmann.ac.il)

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