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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.
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

Limitations of quantum simulation examined by simulating a pairing Hamiltonian using nuclear magnetic resonance.

TL;DR: A theoretical and experimental study of an algorithm proposed by Wu, Byrd, and Lidar to find the low-lying spectrum of a pairing Hamiltonian is demonstrated with a three qubit NMR system.
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Quantum phase transition of ground-state entanglement in a Heisenberg spin chain simulated in an NMR quantum computer

TL;DR: Using an NMR quantum computer, the authors experimentally simulate the quantum phase transition of a Heisenberg spin chain, where the Hamiltonian is generated by a multiple-pulse sequence, the nuclear-spin system is prepared in its (pseudopure) ground state, and the effective Hamiltonian varied in such a way that the chain is taken from a product state to an entangled state and finally to a different product state.
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Simulating ising spin glasses on a quantum computer

TL;DR: In this article, a linear-time algorithm is presented for the construction of the Gibbs distribution of configurations in the Ising model, on a quantum computer, designed so that each run provides one configuration with a quantum probability equal to the corresponding thermodynamic weight.
Journal ArticleDOI

Klein tunneling and Dirac potentials in trapped ions

TL;DR: In this article, a quantum simulation of the Dirac equation with potentials was proposed, allowing the study of relativistic scattering and Klein tunneling, allowing a positive energy Dirac particle to propagate through a repulsive potential via the population transfer to negative energy components.
Journal ArticleDOI

Quantum simulation of Fermi-Hubbard models in semiconductor quantum-dot arrays

TL;DR: In this paper, the Fermi-Hubbard model with long-range Coulomb interactions using an array of quantum dots defined in a semiconductor two-dimensional electron gas system was studied.
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