Published 2013 | Version v1
Journal article

Algebraic theory of entanglement

  • 1. Institute of Mathematical Sciences, CIT Campus - Taramani, (India)
  • 2. Physics Department, Syracuse University - Syracuse, NY, (United States)
  • 3. Institute of Mathematical Sciences, CIT Campus - Taramani and Chennai Mathematical Institute, H1, SIPCOT IT Park - Kelambakkam, Siruseri (India)
  • 4. Instituto de Fisica, Universidade de Brasilia, Brasilia (Brazil)
  • 5. Departamento de F´ısica, Universidad de los Andes - Bogot´a D.C., (Colombia)

Description

We have developed a novel approach to entanglement, suitable to be used in general quantum systems and specially in systems of identical particles. The approach is based on the GNS construction of representation of C ∗ -algebra of observables. In particular, the notion of partial trace is replaced by the more general notion of restriction of a state to a subalgebra. We here recollect some simple examples of the application of this novel approach after reviewing the GNS construction.

Additional details

Publishing Information

Journal Title
Nuovo Cimento. C (Print)
Journal Volume
36
Journal Issue
3
Journal Page Range
p. 27-33
ISSN
2037-4909

Conference

Title
Mathematical Structures in Quantum Systems and applications
Acronym
MSQS 2012
Dates
8-14 Jul 2012
Place
Benasque (Spain)

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
44096009
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRAIC FIELD THEORY; ENTROPY; MATHEMATICS; QUANTUM ENTANGLEMENT
Descriptors DEC
AXIOMATIC FIELD THEORY; FIELD THEORIES; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; THERMODYNAMIC PROPERTIES