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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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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.
Journal ArticleDOI

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

Sisyphus cooling and amplification by a superconducting qubit

TL;DR: In this paper, a superconducting qubit is used to change the temperature of a resonant circuit, in close analogy to the so-called Sisyphus cooling and amplification protocols used in laser cooling of atoms.
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Mesoscopic spin-boson models of trapped ions

TL;DR: In this paper, the optical forces allow us to realize a variety of spin-boson models, depending on the crystal geometry and the laser configuration, for the ohmic case, which can be implemented by illuminating a single ion with a traveling wave.
Journal ArticleDOI

Calculating the thermal rate constant with exponential speedup on a quantum computer

TL;DR: It is shown how to formulate the ubiquitous quantum chemistry problem of calculating the thermal rate constant on a quantum computer and the resulting exact algorithm scales exponentially faster with the dimensionality of the system than all known ``classical'' algorithms for this problem.
Journal ArticleDOI

Quantum simulation of a system with competing two- and three-body interactions.

TL;DR: It is shown that ground states of a particularly interesting system with competing one-, two-, and three-body interactions can be distinguished and the transitions between them observed by measuring correlations between the spins or the expectation values of suitable entanglement witnesses.
Journal ArticleDOI

Quantum simulation and phase diagram of the transverse-field Ising model with three atomic spins

TL;DR: In this article, a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins was performed, leading to a phase diagram of magnetic order in this microscopic system.
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