Some characterizations of quantum channel in infinite Hilbert spaces

Journal Article · Thu May 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4878264· OSTI ID:22250590

Sun, Xiu-Hong ^[1]; Li, Yuan ^[1]

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1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062 (China)

We first show that for any quantum states ρ on H and σ on K there exists a quantum channel Φ such that Φ(ρ) = σ, where H and K are finite or infinite dimensional Hilbert spaces. Then we consider some conclusions for the quantum channel Φ such that Φ(ρ) = σ and Φ(I{sub H}) exists or Φ(I{sub H})=I{sub K}.

• OSTI ID: 22250590
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENVALUES
HILBERT SPACE
QUANTUM INFORMATION
QUANTUM STATES