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
Concentration for Random Product Formulas
TL;DR: In this paper, the authors analyzed a single realization of the random product formula produced by qDRIFT and showed that a typical implementation of the randomized product formula approximates the ideal unitary evolution up to a small diamond-norm error.
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Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator
TL;DR: In this paper, a state perpetration approach was used to mimic anyons in the toric code using a seven-qubit nuclear magnetic resonance quantum simulator, and the phase acquired by the anyons is independent of the path, and coincides with the ideal theoretical predictions when decoherence and implementation errors are taken into account.
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Continuous variable quantum optical simulation for time evolution of quantum harmonic oscillators
TL;DR: The presented simulation scheme provides a new tool for studying the dynamic behaviors of QHO and the measured fidelity, which is used for quantifying the quality of the simulation, is higher than its classical limit.
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Supervised learning of time-independent Hamiltonians for gate design
TL;DR: In this paper, a general framework is presented to tackle the problem of finding time-independent dynamics and generating target unitary evolutions, which is equivalently stated as a set of conditions over the spectrum of the timeindependent gate generator.
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Quantum decoherence by Coulomb interaction
Nicole Kerker,Robin Röpke,Lea-Marina Steinert,Andreas Pooch,Alexander Stibor,Alexander Stibor +5 more
TL;DR: In this article, the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface was investigated.
References
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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.
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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.
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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.
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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.
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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.