Open AccessJournal Article
Quantum simulations with trapped ions
TLDR
In this article, the authors report on quantum simulations using trapped ions to investigate quantum relativistic effects and spin systems and use them to make predictions on another quantum system under investigation.Abstract:
Quantum simulation makes use of a well controlled quantum system to make predictions on another quantum system under investigation. Here, we report on quantum simulations using trapped ions to investigate quantum relativistic effects and spin systems.read more
Citations
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Journal ArticleDOI
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Rahul Nandkishore,David A. Huse +1 more
TL;DR: In this paper, the authors provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics.
Journal ArticleDOI
Colloquium: Many-body localization, thermalization, and entanglement
TL;DR: Theoretically, many-body localized (MBL) systems exhibit a new kind of robust integrability: an extensive set of quasilocal integrals of motion emerges, which provides an intuitive explanation of the breakdown of thermalization as mentioned in this paper.
Journal ArticleDOI
Quantum many-body systems out of equilibrium
TL;DR: In this article, the authors provide an overview of the progress in probing dynamical equilibration and thermalization of closed quantum many-body systems driven out of equilibrium by quenches, ramps and periodic driving.
Journal ArticleDOI
Measuring entanglement entropy in a quantum many-body system
Rajibul Islam,Ruichao Ma,Philipp M. Preiss,M. Eric Tai,Alexander Lukin,Matthew Rispoli,Markus Greiner +6 more
TL;DR: Making use of the single-site-resolved control of ultracold bosonic atoms in optical lattices, two identical copies of a many-body state are prepared and interfered to directly measure quantum purity, Rényi entanglement entropy, and mutual information.
Journal ArticleDOI
On-chip quantum simulation with superconducting circuits
TL;DR: Superconducting circuits exhibit behavior analogues to natural quantum entities, such as atom, ions and photons as mentioned in this paper, and large-scale arrays of such circuits hold the promise of providing a unique route to quantum simulation.
References
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Journal ArticleDOI
Simulating physics with computers
TL;DR: In this paper, the authors describe the possibility of simulating physics in the classical approximation, a thing which is usually described by local differential equations, and the possibility that there is to be an exact simulation, that the computer will do exactly the same as nature.
Proceedings ArticleDOI
Algorithms for quantum computation: discrete logarithms and factoring
TL;DR: Las Vegas algorithms for finding discrete logarithms and factoring integers on a quantum computer that take a number of steps which is polynomial in the input size, e.g., the number of digits of the integer to be factored are given.
Journal ArticleDOI
Mixed State Entanglement and Quantum Error Correction
Charles H. Bennett,Charles H. Bennett,Charles H. Bennett,David P. DiVincenzo,David P. DiVincenzo,David P. DiVincenzo,John A. Smolin,John A. Smolin,John A. Smolin,William K. Wootters,William K. Wootters,William K. Wootters +11 more
TL;DR: It is proved that an EPP involving one-way classical communication and acting on mixed state M (obtained by sharing halves of Einstein-Podolsky-Rosen pairs through a channel) yields a QECC on \ensuremath{\chi} with rate Q=D, and vice versa, and it is proved Q is not increased by adding one- way classical communication.
Journal ArticleDOI
Quantum Computations with Cold Trapped Ions.
J. I. Cirac,Peter Zoller +1 more
TL;DR: A quantum computer can be implemented with cold ions confined in a linear trap and interacting with laser beams, where decoherence is negligible, and the measurement can be carried out with a high efficiency.
Journal ArticleDOI
Cold Bosonic Atoms in Optical Lattices
Dieter Jaksch,Dieter Jaksch,Christoph Bruder,Christoph Bruder,J. I. Cirac,J. I. Cirac,Crispin W. Gardiner,Crispin W. Gardiner,Peter Zoller,Peter Zoller +9 more
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.