Quantum Simulation
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TLDR
The main theoretical and experimental aspects of quantum simulation have been discussed in this article, and some of the challenges and promises of this fast-growing field have also been highlighted in this review.Abstract:
Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems However, this difficulty may be overcome by using some controllable quantum system to study another less controllable or accessible quantum system, ie, quantum simulation Quantum simulation promises to have applications in the study of many problems in, eg, condensed-matter physics, high-energy physics, atomic physics, quantum chemistry and cosmology Quantum simulation could be implemented using quantum computers, but also with simpler, analog devices that would require less control, and therefore, would be easier to construct A number of quantum systems such as neutral atoms, ions, polar molecules, electrons in semiconductors, superconducting circuits, nuclear spins and photons have been proposed as quantum simulators This review outlines the main theoretical and experimental aspects of quantum simulation and emphasizes some of the challenges and promises of this fast-growing fieldread more
Citations
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Journal ArticleDOI
Accelerated variational algorithms for digital quantum simulation of many-body ground states
TL;DR: In this paper, a quantitative comparison between the variational and adiabatic methods with respect to required quantum resources on digital quantum simulators is presented. But, the results show that the latter method is less demanding than the former in terms of the number of two-qubit quantum gates.
Book ChapterDOI
Gate-Defined Quantum Dots: Fundamentals and Applications
Guang-Wei Deng,Nan Xu,Wei-Jie Li +2 more
TL;DR: In this article, the fundamental concepts, recent developments, and applications of gate-defined quantum dots are reviewed, and a review of their application in quantum computing can be found in Section 2.
Journal ArticleDOI
Quantum correlations in spin chains
TL;DR: In this article, a single element of the density matrix is analyzed to reveal the extent of entanglement in ground states and thermal states of interacting spin chains, which can be used to tailor and witness highly nonclassical effects in many-body systems with possible applications to quantum computing.
Posted Content
Theoretical study on thermalization in isolated quantum systems
TL;DR: In this article, the authors study thermalization and its mechanism in non-integrable systems from two perspectives: the first is how well the eigenstate thermalization hypothesis (ETH) and its finite-size corrections can be predicted by random matrix theory (RMT).
Journal ArticleDOI
Matrix-Model Simulations Using Quantum Computing, Deep Learning, and Lattice Monte Carlo
TL;DR: In this paper , the authors present a survey of quantum computing and deep learning approaches to matrix quantum mechanics, comparing them to lattice Monte Carlo simulations, and test the performance of each method by calculating the low-energy spectrum.
References
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Journal ArticleDOI
Many-Body Physics with Ultracold Gases
TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
Journal ArticleDOI
The quantum internet
TL;DR: In this paper, the authors proposed a method for quantum interconnects, which convert quantum states from one physical system to those of another in a reversible manner, allowing the distribution of entanglement across the network and teleportation of quantum states between nodes.
Journal ArticleDOI
Quantum Phase Transition From a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms
TL;DR: This work observes a quantum phase transition in a Bose–Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential, and can induce reversible changes between the two ground states of the system.
Journal ArticleDOI
Cold Bosonic Atoms in Optical Lattices
Dieter Jaksch,Dieter Jaksch,Christoph Bruder,Christoph Bruder,J. I. Cirac,J. I. Cirac,Crispin W. Gardiner,Crispin W. Gardiner,Peter Zoller,Peter Zoller +9 more
TL;DR: In this paper, the Bose-Hubbard model was used to model the phase transition from the superfluid to the Mott insulator phase induced by varying the depth of the optical potential.
Journal ArticleDOI
Universal Quantum Simulators
TL;DR: Feynman's 1982 conjecture, that quantum computers can be programmed to simulate any local quantum system, is shown to be correct.