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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

A review of Quantum Cellular Automata

TL;DR: This review discusses all of these applications of QCAs, including the matrix product unitary approach and higher dimensional classifications, as well as some other interesting results on the structure of quantum cellular automata.
Journal ArticleDOI

Confirmation via Analogue Simulation: What Dumb Holes Could Tell Us about Gravity

TL;DR: In this article, the existence of analogical simulation as a form of scientific inference with the potential to be confirmatory has been argued, drawing inspiration from fluid dynamical "dumb hole" analogues to gravitational black holes.
Journal ArticleDOI

Quantum Computers as Universal Quantum Simulators: State-of-the-Art and Perspectives

TL;DR: A comprehensive outlook is given on the state of art capabilities offered from these near-term noisy devices as universal quantum simulators, i.e. programmable quantum computers potentially able to digitally simulate the time evolution of many physical models.
Journal ArticleDOI

Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization

TL;DR: In this paper, the authors studied the strong-coupled spinless fermionic chain in the strong coupling regime, where strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many blocks in system size.
Journal ArticleDOI

Measurement of the angular dependence of the dipole-dipole interaction between two individual Rydberg atoms at a Förster resonance

TL;DR: In this paper, anisotropy of the dipolar interaction between Rydberg atoms near a resonance is demonstrated, opening up many possibilities in the implementation of quantum information protocols and the quantum simulation of many-body spin systems.
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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