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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.
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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

Brownian motors

TL;DR: In this article, the authors present a proof-of-principle device, a diffusive temperature Brownian motor, which is particularly simple to implement experimentally in order to optimize and selectively control a rich variety of directed transport behaviors.
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Renormalization and tensor product states in spin chains and lattices

TL;DR: This work introduces several families of such states in terms of the known renormalization procedures, and highlights some of their properties, and shows how they can be used to describe a variety of systems.
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Violation of Bell's inequality in Josephson phase qubits

TL;DR: In this paper, the violation of a Bell inequality in a macroscopic electrical circuit consisting of superconducting phase qubits was demonstrated in a solid-state system, and it was shown that quantum mechanics provides a complete description.
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Ultracold atoms in a disordered crystal of light: towards a bose glass.

TL;DR: A disordered system of ultracold strongly interacting 87Rb bosons is experimentally realized and a broadening of the Mott-insulator resonances and the transition to a state with vanishing long-range phase coherence and a flat density of excitations are observed, which suggest the formation of a Bose-glass phase.
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Onset of a quantum phase transition with a trapped ion quantum simulator

TL;DR: This work simulates the emergence of magnetism by implementing a fully connected non-uniform ferromagnetic quantum Ising model using up to 9 trapped (171)Yb(+) ions, providing a critical benchmark for the simulation of intractable arbitrary fully connected Ising models in larger systems.
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