Details
| Original language | English |
|---|---|
| Pages (from-to) | 915-933 |
| Number of pages | 19 |
| Journal | J. Mod. Opt. |
| Volume | 50 |
| Issue number | 6-7 |
| Publication status | Published - 2003 |
Abstract
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In: J. Mod. Opt., Vol. 50, No. 6-7, 2003, p. 915-933.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantum lost and found
AU - Gregoratti, M.
AU - Werner, R. F.
N1 - Funding information: MG gratefully acknowledges support from the Alexander von Humboldt Foundation. Our work was also supported by the European Union project EQUIP (contract IST-1999-11053) and the DFG (Bonn).
PY - 2003
Y1 - 2003
N2 - We consider the problem of correcting the errors incurred from sending classical or quantum information through a noisy quantum environment by schemes using classical information obtained from a measurement on the environment. We give conditions for quantum or classical information (prepared in a specified input basis B) to be corrigible based on a measurement M. Based on these criteria we give examples of noisy channels such that (1) no information can be corrected by such a scheme, (2) for some basis B there is a correcting measurement M, (3) for all bases B there is an M and (4) there is a measurement M which allows perfect correction for all bases B. The last case is equivalent to the possibility of correcting quantum information, and turns out to be equivalent to the channel allowing a representation as a convex combination of isometric channels. Such channels are doubly stochastic but not conversely.
AB - We consider the problem of correcting the errors incurred from sending classical or quantum information through a noisy quantum environment by schemes using classical information obtained from a measurement on the environment. We give conditions for quantum or classical information (prepared in a specified input basis B) to be corrigible based on a measurement M. Based on these criteria we give examples of noisy channels such that (1) no information can be corrected by such a scheme, (2) for some basis B there is a correcting measurement M, (3) for all bases B there is an M and (4) there is a measurement M which allows perfect correction for all bases B. The last case is equivalent to the possibility of correcting quantum information, and turns out to be equivalent to the channel allowing a representation as a convex combination of isometric channels. Such channels are doubly stochastic but not conversely.
U2 - 10.1080/0950034021000058021
DO - 10.1080/0950034021000058021
M3 - Article
VL - 50
SP - 915
EP - 933
JO - J. Mod. Opt.
JF - J. Mod. Opt.
IS - 6-7
ER -