Quantum convolutional codes: fundamentals

Simple item page
dc.creatorOllivier, H.
dc.creatorTillich, J. -P.
dc.date2004-01-21
dc.date.accessioned2026-07-07T06:08:51Z
dc.date.available2026-07-07T06:08:51Z
dc.descriptionWe describe the theory of quantum convolutional error correcting codes. These codes are aimed at protecting a flow of quantum information over long distance communication. They are largely inspired by their classical analogs which are used in similar circumstances in classical communication. In this article, we provide an efficient polynomial formalism for describing their stabilizer group, derive an on-line encoding circuit with linear gate complexity and study error propagation together with the existence of on-line decoding. Finally, we provide a maximum likelihood error estimation algorithm with linear classical complexity for any memoryless channel.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0401134
dc.identifierhttp://arxiv.org/abs/quant-ph/0401134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91778
dc.subjectQuantum Physics
dc.titleQuantum convolutional codes: fundamentals
dc.typetext

Files

Collections

arXiv