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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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Finding the Maximum Independent Sets of Platonic Graphs Using Rydberg Atoms

TL;DR: In this paper , a topology-preserving transformation of a Rydberg-atom system from a 3D surface to a plane is demonstrated using quantum wires, providing a feasible route toward large-scale quantum simulations.
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Equilibration and nonclassicality of a double-well potential.

TL;DR: In this article, a double well loaded with bosonic atoms represents an ideal candidate to simulate some of the most interesting aspects in the phenomenology of thermalisation and equilibration, and an exhaustive analysis of the dynamics and steady state properties of such a system locally in contact with different temperature reservoirs is presented.
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Experimentally Accessible Bounds on Distillable Entanglement from Entropic Uncertainty Relations.

TL;DR: In this paper, the authors use entropic uncertainty relations for bipartite systems to derive measurable lower bounds on distillable entanglement and apply them to physical models realizable in cold-atom experiments.
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Quantum Fredkin gate based on synthetic three-body interactions in superconducting circuits

TL;DR: In this article, the authors propose the generation of effective three-body interactions in superconducting circuits by coupling qubits or resonators to a bus qubit, which can be used to construct a quantum Fredkin gate.
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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