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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 field

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Citations
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Journal ArticleDOI

Algorithms for Quantum Simulation at Finite Energies

TL;DR: In this article, a method that combines classical processing and stroboscopic evolution is proposed to obtain microcanonical and canonical properties of many-body systems in NISQ computers or analog quantum simulators.
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Polarized cold cloud of thulium atom

TL;DR: In this paper, the loading of 6*10^5 thulium atoms optically polarized at maximum possible magnetic quantum number mf=-4 state into dipole trap operating at 532 nm was reported.
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A quantum cellular automaton for one-dimensional QED.

TL;DR: A discrete spacetime formulation of quantum electrodynamics in one dimension in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates, is proposed, encompassing the notions of continuum limit and renormalization and providing a quantum simulation algorithm for the dynamics.
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Deterministic nonlinear phase gates induced by a single qubit

TL;DR: In this paper, the authors proposed deterministic realizations of nonlinear phase gates by repeating noncommuting Rabi interactions feasible between a harmonic oscillator and a single two-level ancillary qubit.
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A Quantum N-Queens Solver

TL;DR: In this article, a special purpose quantum simulator was proposed to solve the excluded diagonals N-queens completion problem using atoms in an optical lattice and cavity-mediated long-range interactions.
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.
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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

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.
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