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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.
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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

Experimental simulation of a pairing Hamiltonian on an NMR quantum computer

TL;DR: In this paper, a concrete quantum simulation scheme and experimentally simulated a pairing model on an NMR quantum computer were developed and shown to give the spectrum in the vicinity of the gap between the ground and the first excited states, and thus verified the potential power of a quantum computer on the simulation of complex physical systems.
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The localization of phonons in ion traps with controlled quantum disorder

TL;DR: In this paper, the internal state of trapped ions in a quantum superposition is modeled as a stochastic variable, its statistical properties inherited from the underlying quantum parallelism of the internal states.
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Quantum computation of a complex system: The kicked Harper model

TL;DR: The results show that interesting behavior can be observed with as little as 7-8 qubits and can be reliably measured in presence of moderate levels of internal imperfections, and the imperfection threshold for delocalization becomes exponentially small in the partially delocalized regime.
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Simulating Hamiltonian dynamics using many-qudit Hamiltonians and local unitary control

TL;DR: In this article, it was shown that the only class of finite-dimensional entangling Hamiltonians that are not universal for simulation is the class of entangling on qubits whose Pauli operator expansion contains only terms coupling an odd number of systems, as identified by Bremner.
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Simulating the transverse Ising model on a quantum computer: Error correction with the surface code

TL;DR: In this article, the authors estimate the resource requirements for the quantum simulation of the ground-state energy of the one-dimensional quantum transverse Ising model based on the surface code implementation of a fault-tolerant quantum computer.
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