Determination of the Schmidt number

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.042315· OSTI ID:21544582

Sperling, J; Vogel, W ^[1]

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1. Arbeitsgruppe Quantenoptik, Institut fuer Physik, Universitaet Rostock, D-18051 Rostock (Germany)

Optimized, necessary, and sufficient conditions for the identification of the Schmidt number will be derived in terms of general Hermitian operators. These conditions apply to arbitrary mixed quantum states. The optimization procedure delivers equations similar to the eigenvalue problem of an operator. The properties of the solution of these equations will be studied. We solve these equations for classes of operators. The solutions will be applied to phase randomized two-mode squeezed-vacuum states in continuous variable systems.

• OSTI ID: 21544582
• Journal Information: Physical Review. A, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevA.83.042315; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENVALUES
EQUATIONS
HERMITIAN OPERATORS
MATHEMATICAL SOLUTIONS
OPTIMIZATION
QUANTUM STATES
SCHMIDT MODEL
VACUUM STATES
MATHEMATICAL OPERATORS