Quantum inference as an under-determined linear problem and the collective of accessible states

M Casas, A Plastino, J Perez and A Rigo

Physica A: Statistical Mechanics and its Applications, 1999, vol. 269, issue 2, 476-492

Abstract: A detailed mathematical analysis of the collective of accessible micro-states compatible with a given set of a priori fixed expectation values (generalized ensemble) is undertaken. To such an effect, the problem of quantum inference is framed as an under-determined linear problem. The analysis is based upon the splitting of the pertinent statistical distribution (the density matrix one is trying to infer) into two orthogonal components. One of the components happens to coincide with the minimum norm solution of the linear problem posed by the fulfillment of the a priori conditions on the given expectation values. The remaining component belongs to the Null space of the expectation values transformation.

Keywords: Information theory; Pseudoinverse approach; Accessible micro-states (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437199001181
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:269:y:1999:i:2:p:476-492

DOI: 10.1016/S0378-4371(99)00118-1

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().