The Experts below are selected from a list of 62145 Experts worldwide ranked by ideXlab platform
Ashley Montanaro - One of the best experts on this subject based on the ideXlab platform.
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Quantum computational supremacy
Nature, 2017Co-Authors: Aram W. Harrow, Ashley MontanaroAbstract:The field of quantum algorithms aims to find ways to speed up the solution of computational problems by using a quantum Computer. A key milestone in this field will be when a universal quantum Computer performs a computational task that is beyond the capability of any Classical Computer, an event known as quantum supremacy. This would be easier to achieve experimentally than full-scale quantum computing, but involves new theoretical challenges. Here we present the leading proposals to achieve quantum supremacy, and discuss how we can reliably compare the power of a Classical Computer to the power of a quantum Computer. Proposals for demonstrating quantum supremacy, when a quantum Computer supersedes any possible Classical Computer at a specific task, are reviewed.
Peter Nyman - One of the best experts on this subject based on the ideXlab platform.
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A compact program code for simulations of quantum algorithms in Classical Computers
Laser Physics, 2009Co-Authors: Peter NymanAbstract:A general quantum simulation language on a Classical Computer provides the opportunity to compare an experiential result from the development of quantum Computers with mathematical theory. The intention of this research is to develop a program language that is able to make simulations of all quantum algorithms in same framework. This study examines the simulation of quantum algorithms on a Classical Computer with a symbolic programming language. We use the language Mathematica to make simulations of well-known quantum algorithms. The program code implemented on a Classical Computer will be a straight connection between the mathematical formulation of quantum mechanics and computational methods. This gives us an uncomplicated and clear language for the implementations of algorithms. The computational language includes essential formulations such as quantum state, superposition and quantum operator. This symbolic programming language provides a universal framework for examining the existing as well as future quantum algorithms. This study contributes with an implementation of a quantum algorithm in a program code where the substance is applicable in other simulations of quantum algorithms.
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QI - A Symbolic Classical Computer Language for Simulation of Quantum Algorithms
Quantum Interaction, 2009Co-Authors: Peter NymanAbstract:Quantum computing is an extremely promising research combining theoretical and experimental quantum physics, mathematics, quantum information theory and Computer science. Classical simulation of quantum computations will cover part of the gap between the theoretical mathematical formulation of quantum mechanics and the realization of quantum Computers. One of the most important problems in "quantum Computer science" is the development of new symbolic languages for quantum computing and the adaptation of existing symbolic languages for Classical computing to quantum algorithms. The present paper is devoted to the adaptation of the Mathematica symbolic language to known quantum algorithms and corresponding simulation on the Classical Computer. Concretely we shall represent in the Mathematica symbolic language Simon's algorithm, the Deutsch-Josza algorithm, Grover's algorithm, Shor's algorithm and quantum error-correcting codes. We shall see that the same framework can be used for all these algorithms. This framework will contain the characteristic property of the symbolic language representation of quantum computing and it will be a straightforward matter to include this framework in future algorithms.
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A Compact Code for Simulations of Quantum Error Correction in Classical Computers
AIP Conference Proceedings, 2009Co-Authors: Peter NymanAbstract:This study considers implementations of error correction in a simulation language on a Classical Computer. Error correction will be necessarily in quantum computing and quantum information. We wil ...
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Representation of Quantum Algorithms with Symbolic Language and Simulation on Classical Computer
2008Co-Authors: Peter NymanAbstract:Utvecklandet av kvantdatorn ar ett ytterst lovande projekt som kombinerar teoretisk och experimental kvantfysik, matematik, teori om kvantinformation och datalogi. Under forsta steget i utvecklande ...
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Simulation of Simon’s Algorithm in Mathematica
2008Co-Authors: Peter NymanAbstract:A general quantum simulation language on a Classical Computer provides the opportunity to compare an experiential result from the development of quantum Computers with mathematical theory. The inte ...
Maciej Lewenstein - One of the best experts on this subject based on the ideXlab platform.
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Hybrid annealing: Coupling a quantum simulator to a Classical Computer
Physical Review A, 2017Co-Authors: Tobias Graß, Maciej LewensteinAbstract:Finding the global minimum in a rugged potential landscape is a computationally hard task, often equivalent to relevant optimization problems. Annealing strategies, either Classical or quantum, explore the configuration space by evolving the system under the influence of thermal or quantum fluctuations. The thermal annealing dynamics can rapidly freeze the system into a low-energy configuration, and it can be simulated well on a Classical Computer, but it easily gets stuck in local minima. Quantum annealing, on the other hand, can be guaranteed to find the true ground state and can be implemented in modern quantum simulators; however, quantum adiabatic schemes become prohibitively slow in the presence of quasidegeneracies. Here, we propose a strategy which combines ideas from simulated annealing and quantum annealing. In such a hybrid algorithm, the outcome of a quantum simulator is processed on a Classical device. While the quantum simulator explores the configuration space by repeatedly applying quantum fluctuations and performing projective measurements, the Classical Computer evaluates each configuration and enforces a lowering of the energy. We have simulated this algorithm for small instances of the random energy model, showing that it potentially outperforms both simulated thermal annealing and adiabatic quantum annealing. It becomes most efficient for problems involving many quasidegenerate ground states.
Valery S. Shchesnovich - One of the best experts on this subject based on the ideXlab platform.
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Sufficient condition for the mode mismatch of single photons for scalability of the boson-sampling Computer
Physical Review A, 2014Co-Authors: Valery S. ShchesnovichAbstract:The boson sampler proposed by Aaronson and Arkhipov is a nonuniversal quantum Computer, which can serve as evidence against the extended Church-Turing thesis. It samples the probability distribution at the output of a linear unitary optical network with indistinguishable single photons at the input. Four experimental groups have already tested their small-scale prototypes with up to four photons. A boson sampler with a few dozens of single photons is believed to be hard to simulate on a Classical Computer. For scalability of a realistic boson sampler with current technology it is necessary to know the effect of the photon mode mismatch on its operation. Here a nondeterministic model of the boson sampler is analyzed, which employs partially indistinguishable single photons emitted by identical sources. A sufficient condition on the average mutual fidelity $\ensuremath{\langle}\mathcal{F}\ensuremath{\rangle}$ of the single photons is found, which guarantees that the realistic boson sampler outperforms the Classical Computer. Moreover, the boson-sampler Computer with partially indistinguishable single photons is scalable and has more power than Classical Computers when the single-photon mode mismatch $1\ensuremath{-}\ensuremath{\langle}\mathcal{F}\ensuremath{\rangle}$ scales as $O({N}^{\ensuremath{-}3/2})$ with the total number of photons $N$.
Aram W. Harrow - One of the best experts on this subject based on the ideXlab platform.
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Quantum computational supremacy
Nature, 2017Co-Authors: Aram W. Harrow, Ashley MontanaroAbstract:The field of quantum algorithms aims to find ways to speed up the solution of computational problems by using a quantum Computer. A key milestone in this field will be when a universal quantum Computer performs a computational task that is beyond the capability of any Classical Computer, an event known as quantum supremacy. This would be easier to achieve experimentally than full-scale quantum computing, but involves new theoretical challenges. Here we present the leading proposals to achieve quantum supremacy, and discuss how we can reliably compare the power of a Classical Computer to the power of a quantum Computer. Proposals for demonstrating quantum supremacy, when a quantum Computer supersedes any possible Classical Computer at a specific task, are reviewed.