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
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TLDR
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.Abstract:
Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is now being studied in diverse fields ranging from condensed matter to quantum gravity. However, measuring entanglement remains a challenge. This is especially so in systems of interacting delocalized particles, for which a direct experimental measurement of spatial entanglement has been elusive. Here, we measure entanglement in such a system of itinerant particles using quantum interference of many-body twins. Making use of our single-site-resolved control of ultracold bosonic atoms in optical lattices, we prepare two identical copies of a many-body state and interfere them. This enables us to directly measure quantum purity, Renyi entanglement entropy, and mutual information. These experiments pave the way for using entanglement to characterize quantum phases and dynamics of strongly correlated many-body systems.read more
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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 thermalization through entanglement in an isolated many-body system
Adam Kaufman,M. Eric Tai,Alexander Lukin,Matthew Rispoli,Robert Schittko,Philipp M. Preiss,Markus Greiner +6 more
TL;DR: Microscopy of an evolving quantum system indicates that the full quantum state remains pure, whereas thermalization occurs on a local scale, whereas entanglement creates local entropy that validates the use of statistical physics for local observables.
Journal ArticleDOI
Exploring the many-body localization transition in two dimensions
Jae-yoon Choi,Sebastian Hild,Johannes Zeiher,Peter Schauß,Antonio Rubio-Abadal,Tarik Yefsah,Vedika Khemani,David A. Huse,David A. Huse,Immanuel Bloch,Immanuel Bloch,Christian Gross +11 more
TL;DR: The observation of a many-body localization transition between thermal and localized phases for bosons in a two-dimensional disordered optical lattice is reported, highlighting the power of quantum simulation to solve problems that are currently inaccessible to classical computing techniques.
Journal ArticleDOI
Neural-network quantum state tomography
Giacomo Torlai,Giacomo Torlai,Guglielmo Mazzola,Juan Carrasquilla,Matthias Troyer,Matthias Troyer,Roger G. Melko,Roger G. Melko,Giuseppe Carleo +8 more
TL;DR: It is demonstrated that machine learning allows one to reconstruct traditionally challenging many-body quantities—such as the entanglement entropy—from simple, experimentally accessible measurements, and can benefit existing and future generations of devices.
Journal ArticleDOI
Topological quantum matter with ultracold gases in optical lattices
TL;DR: Using optical lattices to trap ultracold atoms provides a powerful platform for probing topological phases, analogues to those found in condensed matter as discussed by the authors. But as these systems are highly tunable, they could be used to engineer even more exotic phases.
References
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Quantum Computation and Quantum Information
TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
Journal ArticleDOI
Quantum computation and quantum information
TL;DR: This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing, with a focus on entanglement.
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Quantum entanglement
TL;DR: In this article, the basic aspects of entanglement including its characterization, detection, distillation, and quantification are discussed, and a basic role of entonglement in quantum communication within distant labs paradigm is discussed.
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Measurement of subpicosecond time intervals between two photons by interference.
TL;DR: A fourth-order interference technique has been used to measure the time intervals between two photons, and by implication the length of the photon wave packet, produced in the process of parametric down-conversion.
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Entanglement in many-body systems
TL;DR: In this article, the properties of entanglement in many-body systems are reviewed and both bipartite and multipartite entanglements are considered, and the zero and finite temperature properties of entangled states in interacting spin, fermion and boson model systems are discussed.