Published June 2013
| Version v1
Journal article
On an extension problem for density matrices
- 1. Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States)
- 2. Departments of Mathematics and Physics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States)
- 3. Departments of Mathematics and Physics, Jadwin Hall, Princeton University, Washington Road, Princeton, New Jersey 08544-0001 (United States)
Description
We investigate the problem of the existence of a density matrix ρ123 on a Hilbert space H1⊗H2⊗H3 with given partial traces ρ12= Tr3 ρ123 and ρ23= Tr1 ρ123. While we do not solve this problem completely, we offer partial results in the form of some necessary and some sufficient conditions on ρ12 and ρ23. The quantum case differs markedly from the classical (commutative) case, where the obvious necessary compatibility condition suffices, namely, Tr1 ρ12= Tr3ρ23.
Additional details
Identifiers
- DOI
- 10.1063/1.4808218;
- arXiv
- arXiv:1301.4605v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 54
- Journal Issue
- 6
- Journal Page Range
- p. 062103-062103.9
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44117513
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; COMPATIBILITY; DENSITY MATRIX; HILBERT SPACE
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL SPACE; MATHEMATICS; MATRICES; SPACE
Optional Information
- Notes
- (c) 2013 AIP Publishing LLC