Detecting genuine multipartite continuous-variable entanglement
Peter van Loock,Akira Furusawa +1 more
Reads0
Chats0
TLDR
In this paper, the authors derived necessary conditions in terms of the variances of position and momentum linear combinations for all kinds of separability of a multiparty multimode continuous-variable state.Abstract:
We derive necessary conditions in terms of the variances of position and momentum linear combinations for all kinds of separability of a multiparty multimode continuous-variable state. Their violations can be sufficient for genuine multipartite entanglement, provided the combinations contain both conjugate variables of all modes. Hence, a complete state determination, for example, by detecting the entire correlation matrix of a Gaussian state, is not needed.read more
Citations
More filters
Journal ArticleDOI
Quantum Information with Continuous Variables
TL;DR: In this article, the authors present the Deutsch-Jozsa algorithm for continuous variables, and a deterministic version of it is used for quantum information processing with continuous variables.
Journal ArticleDOI
Entanglement detection
Otfried Gühne,Géza Tóth +1 more
TL;DR: In this article, the basic elements of entanglement theory for two or more particles and verification procedures, such as Bell inequalities, entangle witnesses, and spin squeezing inequalities, are discussed.
Journal ArticleDOI
Colloquium: The Einstein-Podolsky-Rosen paradox: From concepts to applications
Margaret D. Reid,Peter D. Drummond,Warwick P. Bowen,Eric G. Cavalcanti,Ping Koy Lam,Hans-A. Bachor,Ulrik L. Andersen,Gerd Leuchs +7 more
TL;DR: In this article, the authors examined the field of the EPR gedanken experiment, from the original paper of Einstein, Podolsky, and Rosen, through to modern theoretical proposals of how to realize both the continuous-variable and discrete versions of EPR paradox.
Journal ArticleDOI
Entanglement in continuous-variable systems: recent advances and current perspectives
TL;DR: The theory of continuous-variable entanglement with special emphasis on foundational aspects, conceptual structures and mathematical methods has been studied in this paper, where the most important results on the separability and distillability of Gaussian states are discussed.
Journal ArticleDOI
Ultra-large-scale continuous-variable cluster states multiplexed in the time domain
Shota Yokoyama,Ryuji Ukai,Seiji Armstrong,Seiji Armstrong,Chanond Sornphiphatphong,Toshiyuki Kaji,Shigenari Suzuki,Jun-ichi Yoshikawa,Hidehiro Yonezawa,Nicolas C. Menicucci,Akira Furusawa +10 more
TL;DR: In this paper, a continuous-variable cluster state containing more than 10,000 entangled modes is deterministically generated and fully characterized, and an efficient scheme for measurement-based quantum computation on this cluster state is presented.
References
More filters
Journal ArticleDOI
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Charles H. Bennett,Gilles Brassard,Claude Crépeau,Richard Jozsa,Asher Peres,William K. Wootters +5 more
TL;DR: An unknown quantum state \ensuremath{\Vert}\ensure Math{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations.
Journal ArticleDOI
Quantum cryptography based on Bell's theorem.
TL;DR: Practical application of the generalized Bells theorem in the so-called key distribution process in cryptography is reported, based on the Bohms version of the Einstein-Podolsky-Rosen gedanken experiment andBells theorem is used to test for eavesdropping.
Journal ArticleDOI
A scheme for efficient quantum computation with linear optics.
TL;DR: It is shown that efficient quantum computation is possible using only beam splitters, phase shifters, single photon sources and photo-detectors and are robust against errors from photon loss and detector inefficiency.
Journal ArticleDOI
Communication via One- and Two-Particle Operators on Einstein-Podolsky-Rosen States
TL;DR: The set of states accessible from an initial EPR state by one-particle operations are characterized and it is shown that in a sense they allow two bits to be encoded reliably in one spin-1/2 particle.
Journal ArticleDOI
Separability Criterion for Density Matrices.
TL;DR: It is proved that a necessary condition for separability is that a matrix, obtained by partial transposition of {rho}, has only non-negative eigenvalues.