Unitary dynamics for quantum codewords

dc.creatorPeres, Asher
dc.date1996-09-18
dc.date.accessioned2026-07-07T06:13:58Z
dc.date.available2026-07-07T06:13:58Z
dc.descriptionA quantum codeword is a redundant representation of a logical qubit by means of several physical qubits. It is constructed in such a way that if one of the physical qubits is perturbed, for example if it gets entangled with an unknown environment, there still is enough information encoded in the other physical qubits to restore the logical qubit, and disentangle it from the environment. The recovery procedure may consist of the detection of an error syndrome, followed by the correction of the error, as in the classical case. However, it can also be performed by means of unitary operations, without having to know the error syndrome. Since quantum codewords span only a restricted subspace of the complete physical Hilbert space, the unitary operations that generate quantum dynamics (that is, the computational process) are subject to considerable arbitrariness, similar to the gauge freedom in quantum field theory. Quantum codewords can thus serve as a toy model for investigating the quantization of constrained dynamical systems.
dc.description10 pages LaTeX, to appear in proceedings of symposium on quantum communication and measurement (Plenum)
dc.identifierhttps://arxiv.org/abs/quant-ph/9609015
dc.identifierhttp://arxiv.org/abs/quant-ph/9609015
dc.identifier"Quantum Communication, Computing and Measurement" ed. by O. Hirota, A.S. Holevo, and C.M. Caves (Plenum, 1997) pp.171-179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93295
dc.subjectQuantum Physics
dc.titleUnitary dynamics for quantum codewords
dc.typetext

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