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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

Classification of three-photon states in waveguide quantum electrodynamics

TL;DR: In this paper, the first classification of three-photon eigenstates in a finite periodic array of two-level atoms coupled to a waveguide was provided, and the hierarchical structure of the eigen states in the complex plane was explored using entanglement entropy as a distinguishing feature.
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Higher-Order Interactions in Quantum Optomechanics: Analytical Solution of Nonlinearity

Sina Khorasani
- 05 Dec 2017 - 
TL;DR: In this paper, a method to solve the nonlinear Langevin equations arising from quadratic interactions in quantum mechanics is described, and first and second order truncation perturbation schemes are proposed.
Journal ArticleDOI

Noncommutative geometry of Zitterbewegung

TL;DR: In this paper, the authors model a Dirac fermion propagating in a curved spacetime and demonstrate that the inherent causal structure of the model encodes the possibility of Zitterbewegung, the ''trembling motion'' of the Fermion.
Journal ArticleDOI

Quantum Simulation of Three-Body Interactions in Weakly Driven Quantum Systems

TL;DR: This work overcome crucial limitations of perturbative Floquet engineering and discuss the highly accurate realization of a purely three-body Hamiltonian in superconducting circuits and molecular nanomagnets.
Posted Content

The Quantum Illumination Story

TL;DR: In this article, an entanglement-based approach to quantum radar is described, and it is shown that despite loss and noise that destroy its initial entanglements, quantum illumination does offer a target-detection performance improvement over a classical radar of the same transmitted energy.
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.
Journal ArticleDOI

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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