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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

Engineering artificial graphene in a two-dimensional electron gas

TL;DR: In this paper, the authors show that modulating a two-dimensional electron gas with a long-wavelength periodic potential with honeycomb symmetry can lead to the creation of isolated massless Dirac points with tunable Fermi velocity.
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Topological phenomena in quantum walks: elementary introduction to the physics of topological phases

TL;DR: In this article, the authors review the physics of discrete quantum walks in one and two dimensions and provide elementary explanations of topological phases and their physical consequence, namely the existence of boundary states.
Journal ArticleDOI

Atomic Quantum Simulator for Lattice Gauge Theories and Ring Exchange Models

TL;DR: A setup where this coupling term may allow for the realization and observation of exotic quantum phases, including a deconfined insulator described by the Coulomb phase of a three-dimensional U(1) lattice gauge theory is discussed.
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Large-Scale Quantum Computation in an Anharmonic Linear Ion Trap

TL;DR: In this paper, the authors proposed a large-scale quantum computer architecture by more easily stabilizing a single large linear ion chain in a very simple trap geometry by confining ions in an anharmonic linear trap with nearly uniform spacing between ions.
Journal ArticleDOI

Quantum circuits for strongly correlated quantum systems

TL;DR: The method allows one to uncover the exact circuits corresponding to models that exhibit topological order and to stabilizer states, and opens up the possibility of experimentally producing strongly correlated states, their time evolution at zero time, and even thermal superpositions at zero temperature.
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