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Quantum simulation of Maxwell's equations via Schrödingerisation
ESAIM: Mathematical Modelling and Numerical Analysis, 2023We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schrödingerisation approach, which transforms any linear PDEs and ODEs with non-unitary dynamics into a system evolving under ...
Shi Jin, Nana Liu, Chuwen Ma
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Science, 2009
Ultimate Simulator Many body problems are difficult to model analytically and are often so complex that they cannot be simulated accurately on a classical computer. Because quantum systems can be inherently correlated, it has been proposed that such systems could be used to simulate other complex problems.
Iulia, Buluta, Franco, Nori
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Ultimate Simulator Many body problems are difficult to model analytically and are often so complex that they cannot be simulated accurately on a classical computer. Because quantum systems can be inherently correlated, it has been proposed that such systems could be used to simulate other complex problems.
Iulia, Buluta, Franco, Nori
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QUANTUM-STATISTICAL SIMULATIONS FOR QUANTUM CIRCUITS
International Journal of Modern Physics C, 2002Using a Hubbard–Stratonovich like decomposition technique, we implemented simulations for the quantum circuits of Simon's algorithm for the detection of the periodicity of a function and Shor's algorithm for the factoring of prime numbers on a classical computer.
K. Fischer +3 more
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Characterizing quantum simulations with quantum tomography on a spin quantum simulator
Physical Review A, 2021Developments of quantum techniques have drastically improved the control ability of current quantum processors. Characterizing quantum simulations performed on these processors has become a vital topic in quantum information processing. Traditional characterizing techniques such as quantum process and state tomography fully characterize quantum ...
Dafa Zhao +9 more
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Beyond-classical computation in quantum simulation.
ScienceQuantum computers hold the promise of solving certain problems that lie beyond the reach of conventional computers. Establishing this capability, especially for impactful and meaningful problems, remains a central challenge.
Andrew D. King +62 more
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AIP Conference Proceedings, 2014
Here, I summarize the results presented in B. Kraus, Phys. Rev. Lett. 107, 250503 (2011). Recently, it has been shown that certain circuits, the so-called match gate circuits, can be compressed to an exponentially smaller universal quantum computation. We use this result to demonstrate that the simulation of a 1-D Ising chain consisting of n qubits can
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Here, I summarize the results presented in B. Kraus, Phys. Rev. Lett. 107, 250503 (2011). Recently, it has been shown that certain circuits, the so-called match gate circuits, can be compressed to an exponentially smaller universal quantum computation. We use this result to demonstrate that the simulation of a 1-D Ising chain consisting of n qubits can
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Parallel Processing Letters, 2019
This article studies quantum games with imprecise payoffs simulated by means of fuzzy numbers. Three two-person game-types are scrutinized via the iterated confronting of a large number of players laying in a two-dimensional lattice. In every iteration, every player interacts with his nearest neighbours and adopts the strategy of his best paid mate ...
Alonso-Sanz, Ramón, Situ, Haozhen
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This article studies quantum games with imprecise payoffs simulated by means of fuzzy numbers. Three two-person game-types are scrutinized via the iterated confronting of a large number of players laying in a two-dimensional lattice. In every iteration, every player interacts with his nearest neighbours and adopts the strategy of his best paid mate ...
Alonso-Sanz, Ramón, Situ, Haozhen
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2017
Abstract This chapter covers the introduction of quantum mechanics into computer simulation methods. The chapter begins by explaining how electronic degrees of freedom may be handled in an ab initio fashion and how the resulting forces are included in the classical dynamics of the nuclei.
Michael P. Allen, Dominic J. Tildesley
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Abstract This chapter covers the introduction of quantum mechanics into computer simulation methods. The chapter begins by explaining how electronic degrees of freedom may be handled in an ab initio fashion and how the resulting forces are included in the classical dynamics of the nuclei.
Michael P. Allen, Dominic J. Tildesley
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Simulating quantum computing: Quantum eXpress
Proceedings of the 2003 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.03EX693), 2004Quantum computing (QC) research has gained a lot of momentum recently due to several theoretical analyses that indicate that QC is significantly more efficient at solving certain classes of problems than classical computing. While experimental validation will ultimately be required, the primitive nature of current QC hardware leaves practical testing ...
K.S. Aggour +3 more
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Quantum simulation of conical intersections using trapped ions
Nature Chemistry, 2023Jacob Whitlow +5 more
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