Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Comparing the states of many quantum systems

Jex, I. and Andersson, E. and Chefles, A. (2004) Comparing the states of many quantum systems. Journal of Modern Optics, 51 (4). pp. 505-523. ISSN 0950-0340

[img]
Preview
PDF (strathprints006193.pdf)
strathprints006193.pdf

Download (229kB) | Preview

Abstract

We investigate how to determine whether the states of a set of quantum systems are identical or not. This paper treats both error-free comparison, and comparison where errors in the result are allowed. Error-free comparison means that we aim to obtain definite answers, which are known to be correct, as often as possible. In general, we will also have to accept inconclusive results, giving no information. To obtain a definite answer that the states of the systems are not identical is always possible, whereas in the situation considered here, a definite answer that they are identical will not be possible. The optimal universal error-free comparison strategy is a projection onto the totally symmetric and the different non-symmetric subspaces, invariant under permutations and unitary transformations. We also show how to construct optimal comparison strategies when allowing for some errors in the result, minimizing either the error probability, or the average cost of making an error. We point out that it is possible to realize universal error-free comparison strategies using only linear elements and particle detectors, albeit with less than ideal efficiency. Also minimum-error and minimum-cost strategies may sometimes be realized in this way. This is of great significance for practical applications of quantum comparison.

Item type: Article
ID code: 6193
Keywords: quantum, physics, error probability, quantum physics, Physics, Atomic and Molecular Physics, and Optics
Subjects: Science > Physics
Department: Faculty of Science > Physics
Unknown Department
Depositing user: Miss Darcy Spiller
Date Deposited: 02 Jun 2008
Last modified: 15 Apr 2015 10:34
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/6193

Actions (login required)

View Item View Item