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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

Native three-body interaction in superconducting circuits

TL;DR: In this paper, a superconducting circuit can implement three qubits interacting via a direct three-body coupling, and the timescale of the interaction is extremely fast, on the order of a nanosecond.
Journal ArticleDOI

Universal quantum simulation of single-qubit nonunitary operators using duality quantum algorithm

TL;DR: In this article, the authors used the linear combination of unitaries technique for nonunitary dynamics on a single qubit to give explicit decompositions of the necessary unitaries, and simulate arbitrary time-dependent single-qubit non-unitary operator F(t) using duality quantum algorithm.
Journal ArticleDOI

QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases

TL;DR: In this article, the effects of the atomic Fermi distribution on the Efimov trimer energy at finite temperature were investigated and the critical temperature of color superfluidity within the non-selfconsistent TMA was shown.
Dissertation

Quantum Computing with Spin and Valley Qubits in Quantum Dots

TL;DR: In this paper, it was shown that it is possible to generate a universal two-qubit gate for spin qubits or for valley qubits by combining the exchange interaction and individual single qubit gates.
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.
Journal ArticleDOI

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.
Journal ArticleDOI

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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