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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Nonadiabatic Landau–Zener–Stückelberg–Majorana transitions, dynamics, and interference
TL;DR: Shevchenko et al. as discussed by the authors studied various aspects of LZSM physics and review the relevant literature, significantly expanding the review article in [10] and F. Nori (2010), "Landau-Zener-Stuckelberg interferometry"
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Entanglement Hamiltonian tomography in quantum simulation
Christian Kokail,Christian Kokail,Rick van Bijnen,Rick van Bijnen,Andreas Elben,Andreas Elben,Benoît Vermersch,Benoît Vermersch,Benoît Vermersch,Peter Zoller,Peter Zoller +10 more
TL;DR: In this article, an efficient tomographic protocol for reconstructing reduced density matrices and entanglement spectra for spin systems is proposed. But the protocol requires a large number of randomized measurements.
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Probing dynamical phase transitions with a superconducting quantum simulator
Kai Xu,Zheng-Hang Sun,Wuxin Liu,Yu-Ran Zhang,Hekang Li,Hekang Li,Hang Dong,Wenhui Ren,Pengfei Zhang,Franco Nori,Dongning Zheng,Heng Fan,Haohua Wang +12 more
TL;DR: In this paper, a programmable quantum simulator with 16 all-to-all connected superconducting qubits was used to investigate the dynamical phase transition in the Lipkin-Meshkov-Glick model with a quenched transverse field.
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Variational quantum algorithm for nonequilibrium steady states
TL;DR: In this paper, a variational quantum algorithm is proposed to simulate the nonequilibrium steady state of open quantum systems by embedding mixed states into unitary circuits, and the algorithm can be used to simulate any quantum system.
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A concise review of Rydberg atom based quantum computation and quantum simulation
TL;DR: In this paper, the basics of Rydberg atoms and their recent applications in associated areas of neutral atom quantum computation and simulation are briefly introduced and related discussions on quantum optics with rydberg atomic ensembles are discussed.
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.