Relations between convergence rates in Schatten p-norms

Journal Article · Tue Jan 15 00:00:00 EST 2008 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2830521· OSTI ID:21013808

Albini, Paolo; Toigo, Alessandro; Umanita, Veronica ^[1]

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1. Dipartimento di Fisica, Universita di Genova, Via Dodecaneso 33, 16146 Genova (Italy)

In quantum estimation theory and quantum tomography, the quantum state obtained by sampling converges to the ''true'' unknown density matrix under topologies that are different from the natural notion of distance in the space of quantum states, i.e., the trace class norm. In this paper, we address such problem, finding relations between the rates of convergence in the Schatten p-norms and in the trace class norm.

• OSTI ID: 21013808
• Journal Information: Journal of Mathematical Physics, Vol. 49, Issue 1; Other Information: DOI: 10.1063/1.2830521; (c) 2008 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
ALGEBRA
CONVERGENCE
DENSITY MATRIX
HILBERT SPACE
QUANTUM MECHANICS
TOMOGRAPHY
TOPOLOGY