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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

Propagation and Localization of Collective Excitations on a 24-Qubit Superconducting Processor.

TL;DR: This work investigates theoretically and demonstrates experimentally the dynamics of single- and double-excitation states with distinct behaviors, indicating the uniqueness of the Bose-Hubbard ladder, and shows that collective excitations, as a single mode, are not free.
Journal ArticleDOI

Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits

TL;DR: An analog-digital quantum simulation of fermion-fermion scattering mediated by a continuum of bosonic modes within a circuit quantum electrodynamics scenario is proposed and the complexity-simulating-complexity concept should become a leading paradigm in any effort towards scalable quantum simulations.
Journal ArticleDOI

Proposal for Laser Cooling of Complex Polyatomic Molecules.

TL;DR: An experimentally feasible strategy for direct laser cooling of polyatomic molecules with six or more atoms relies on the attachment of a metal atom to a complex molecule, where it acts as an active photon cycling site.
Journal ArticleDOI

Localization-delocalization transition in the dynamics of dipolar-coupled nuclear spins

TL;DR: The experimental observation of a phase transition of the quantum coherent dynamics of a three-dimensional many-spin system with dipolar interactions shows that NMR techniques are well suited to studying the nonequilibrium dynamics of complex many-body systems.
Journal ArticleDOI

Quantum autoencoders for efficient compression of quantum data

TL;DR: In this article, a quantum autoencoder is proposed for quantum simulation to compress ground states of the Hubbard model and molecular Hamiltonians, where a classical compression algorithm cannot be employed.
References
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Journal ArticleDOI

Many-Body Physics with Ultracold Gases

TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
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The quantum internet

TL;DR: In this paper, the authors proposed a method for quantum interconnects, which convert quantum states from one physical system to those of another in a reversible manner, allowing the distribution of entanglement across the network and teleportation of quantum states between nodes.
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Quantum Phase Transition From a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms

TL;DR: This work observes a quantum phase transition in a Bose–Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential, and can induce reversible changes between the two ground states of the system.
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Cold Bosonic Atoms in Optical Lattices

TL;DR: In this paper, the Bose-Hubbard model was used to model the phase transition from the superfluid to the Mott insulator phase induced by varying the depth of the optical potential.
Journal ArticleDOI

Universal Quantum Simulators

TL;DR: Feynman's 1982 conjecture, that quantum computers can be programmed to simulate any local quantum system, is shown to be correct.
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