Fidelity as a figure of merit in quantum error correction
2013 (English)In: Quantum information & computation, ISSN 1533-7146, Vol. 13, no 1-2, 0009-0020 p.Article in journal (Refereed) Published
We discuss the fidelity as a figure of merit in quantum error correction schemes. We show that when identifiable but uncorrectable errors occur as a result of the action of the channel, a common strategy that improves the fidelity actually decreases the transmitted mutual information. The conclusion is that while the fidelity is simple to calculate and therefore often used, it is perhaps not always a recommendable figure of merit for quantum error correction. The reason is that while it roughly speaking encourages optimisation of the "mean probability of success", it gives no incentive for a protocol to indicate exactly where the errors lurk. For small error probabilities, the latter information is more important for the integrity of the information than optimising the mean probability of success.
Place, publisher, year, edition, pages
2013. Vol. 13, no 1-2, 0009-0020 p.
Fidelity, Mutual information, Quantum error correction
Atom and Molecular Physics and Optics
IdentifiersURN: urn:nbn:se:kth:diva-107042ISI: 000315304700002ScopusID: 2-s2.0-84871693736OAI: oai:DiVA.org:kth-107042DiVA: diva2:574568
FunderSwedish Research Council
QC 20130205. Updated from accepted to published.2012-12-062012-12-062016-01-15Bibliographically approved