Quantum Error Detection I: Statement of the Problem

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dc.creatorAshikhmin, Alexei
dc.creatorBarg, Alexander
dc.creatorKnill, Emanuel
dc.creatorLitsyn, Simon
dc.date1999-06-30
dc.date.accessioned2026-07-07T06:16:44Z
dc.date.available2026-07-07T06:16:44Z
dc.descriptionI. This paper is devoted to the problem of error detection with quantum codes. In the first part we examine possible problem settings for quantum error detection. Our goal is to derive a functional that describes the probability of undetected error under natural physical assumptions concerning transmission with error detection over the depolarizing channel. We discuss possible transmission protocols with stabilizer and unrestricted quantum codes. The set of results proved in Part I shows that in all the cases considered the average probability of undetected error for a given code is essentially given by one and the same function of its weight enumerators. This enables us to give a consistent definition of the undetected error event.
dc.identifierhttps://arxiv.org/abs/quant-ph/9906126
dc.identifierhttp://arxiv.org/abs/quant-ph/9906126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94157
dc.subjectQuantum Physics
dc.titleQuantum Error Detection I: Statement of the Problem
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