Journal ArticleDOI
Linear transformations which preserve trace and positive semidefiniteness of operators
TLDR
In this article, a necessary and sufficient condition for linear transformations in L(A1, A2) to preserve trace of Hermitian and positive semidefinite operators is presented.About:
This article is published in Reports on Mathematical Physics.The article was published on 1972-12-01. It has received 1285 citations till now. The article focuses on the topics: Operator theory & Spectral theorem.read more
Citations
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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
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.
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.
MonographDOI
Geometry of Quantum States: Frontmatter
TL;DR: In this article, the space of isospectral 0Hermitian matrices is shown to be the space in which the number 6) and 7) occur twice in the figure, and the discussion between eqs.(5.14) and (5.15) is incorrect.
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