Entanglement of random subspaces via the Hastings bound

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3309418· OSTI ID:21335941

Fukuda, Motohisa ^[1]; King, Christopher ^[2]

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1. Department of Mathematics, University of California, Davis, California 95616 (United States)
2. Department of Mathematics, Northeastern University, Boston, Massachusetts 02115 (United States)

Recently, Hastings ['A counterexample to additivity of minimum output entropy', Nat. Phys. 5, 255 (2009); e-print arXiv:0809.3972v3] proved the existence of random unitary channels, which violate the additivity conjecture. In this paper, we use Hastings' method to derive new bounds for the entanglement of random subspaces of bipartite systems. As an application we use these bounds to prove the existence of nonunital channels, which violate additivity of minimal output entropy.

• OSTI ID: 21335941
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 4; Other Information: DOI: 10.1063/1.3309418; (c) 2010 American Institute of Physics; 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
BOUND STATE
ENTROPY
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
RANDOMNESS