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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

Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems

TL;DR: Hybrid quantum circuits combine two or more physical systems, with the goal of harnessing the advantages and strengths of the different systems in order to better explore new phenomena and potentially bring about novel quantum technologies as discussed by the authors.
Journal ArticleDOI

Search for New Physics with Atoms and Molecules

TL;DR: In this article, the authors present a review of the application of atomic physics to address important challenges in physics and to look for variations in the fundamental constants, search for interactions beyond the standard model of particle physics and test the principles of general relativity.
Journal ArticleDOI

Quantum simulations with ultracold atoms in optical lattices

TL;DR: In this article, the authors review recent experimental progress in quantum many-body simulation and comment on future directions, and present a review of the current state-of-the-art in this field.
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Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator

TL;DR: Here, a quantum simulator composed of up to 53 qubits is used to study non-equilibrium dynamics in the transverse-field Ising model with long-range interactions, enabling the dynamical phase transition to be probed directly and revealing computationally intractable features that rely on the long- range interactions and high connectivity between qubits.
Journal ArticleDOI

A quantum engineer's guide to superconducting qubits

TL;DR: In this paper, the authors provide an introductory guide to the central concepts and challenges in the rapidly accelerating field of superconducting quantum circuits, including qubit design, noise properties, qubit control and readout techniques.
References
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Journal ArticleDOI

Classical simulation of relativistic Zitterbewegung in photonic lattices.

TL;DR: This work presents the first experimental realization of an optical analog for relativistic quantum mechanics by simulating the Zitterbewegung (trembling motion) of a free Dirac electron in an optical superlattice with photonic setting.
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Implementation of Spin Hamiltonians in Optical Lattices

TL;DR: An optical lattice setup to investigate spin chains and ladders and ways to measure a number of observables, like energy gap, staggered magnetization, end-chain spins effects, spin correlations, and the string-order parameter are proposed.
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Massively parallel quantum computer simulator

TL;DR: The results demonstrate that the simulator exhibits nearly ideal scaling as a function of the number of processors and suggest that the simulation software described in this paper may also serve as benchmark for testing high-end parallel computers.
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Problem of equilibration and the computation of correlation functions on a quantum computer

TL;DR: The quantum algorithms that are presented could provide an exponential speedup over what can be achieved with a classical device, given a preparation of the equilibrium state.
Journal ArticleDOI

Dynamical Casimir effect in superconducting microwave circuits

TL;DR: In this article, the authors theoretically investigate the dynamical Casimir effect (DCE) in electrical circuits based on superconducting microfabricated waveguides with tunable boundary conditions.
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