Multiplicativity of maximal output purities of Gaussian channels under Gaussian inputs

Journal Article · Fri Dec 31 23:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.012320· OSTI ID:20650202

Serafini, A ^[1]; Eisert, J ^[2]; Wolf, M M ^[3]

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1. Dipartimento di Fisica 'E.R. Caianiello', Universita di Salerno, INFM UdR Salerno, INFN Sezione di Napoli, Gruppo Collegato di Salerno, Via S. Allende, 84081, Baronissi, SA (Italy)
2. Institut fuer Physik, Universitaet Potsdam, Am Neuen Palais 10, D-14469 Potsdam (Germany)
3. Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching (Germany)

We address the question of the multiplicativity of the maximal p-norm output purities of bosonic Gaussian channels under Gaussian inputs. We focus on general Gaussian channels resulting from the reduction of unitary dynamics in larger Hilbert spaces. It is shown that the maximal output purity of tensor products of single-mode channels under Gaussian inputs is multiplicative for any p is a member of (1,{infinity}) for products of arbitrary identical channels as well as for a large class of products of different channels. In the case of p=2, multiplicativity is shown to be true for arbitrary products of generic channels acting on any number of modes.

• OSTI ID: 20650202
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSONS
CORRELATIONS
DATA TRANSMISSION
ENERGY LEVELS
HILBERT SPACE
INFORMATION THEORY
QUANTUM MECHANICS
QUANTUM NUMBERS
TENSORS