Journal ArticleDOI
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Reads0
Chats0
TLDR
Any classically correlated state can be modeled by a hidden-variable theory and hence satisfies all generalized Bell's inequalities and the converse of this statement is false.Abstract:
A state of a composite quantum system is called classically correlated if it can be approximated by convex combinations of product states, and Einstein-Podolsky-Rosen correlated otherwise. Any classically correlated state can be modeled by a hidden-variable theory and hence satisfies all generalized Bell's inequalities. It is shown by an explicit example that the converse of this statement is false.read more
Citations
More filters
Journal ArticleDOI
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.
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 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
Separability of mixed states: necessary and sufficient conditions
TL;DR: In this article, necessary and sufficient conditions for the separability of mixed states were provided for 2 × 2 and 2 × 3 systems, where the positivity of the partial transposition of a state is sufficient and necessary for its separability.
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.