Exact Quantum Query Algorithm for Error Detection Code Verification

dc.creatorVasilieva, Alina
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:07:55Z
dc.date.available2026-07-07T13:07:55Z
dc.descriptionQuantum algorithms can be analyzed in a query model to compute Boolean functions. Function input is provided in a black box, and the aim is to compute the function value using as few queries to the black box as possible. A repetition code is an error detection scheme that repeats each bit of the original message r times. After a message with redundant bits is transmitted via a communication channel, it must be verified. If the received message consists of r-size blocks of equal bits, the conclusion is that there were no errors. The verification procedure can be interpreted as an application of a query algorithm, where input is a message to be checked. Classically, for N-bit message, values of all N variables must be queried. We present an exact quantum algorithm that uses only N/2 queries.
dc.description16 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0904.3660
dc.identifierhttp://arxiv.org/abs/0904.3660
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228251
dc.subjectQuantum Physics
dc.titleExact Quantum Query Algorithm for Error Detection Code Verification
dc.typetext

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