Unified Quantum Convolutional Coding

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dc.creatorWilde, Mark M.
dc.creatorBrun, Todd A.
dc.date2008-01-06
dc.date2008-04-29
dc.date.accessioned2026-07-07T10:11:08Z
dc.date.available2026-07-07T10:11:08Z
dc.descriptionWe outline a quantum convolutional coding technique for protecting a stream of classical bits and qubits. Our goal is to provide a framework for designing codes that approach the ``grandfather'' capacity of an entanglement-assisted quantum channel for sending classical and quantum information simultaneously. Our method incorporates several resources for quantum redundancy: fresh ancilla qubits, entangled bits, and gauge qubits. The use of these diverse resources gives our technique the benefits of both active and passive quantum error correction. We can encode a classical-quantum bit stream with periodic quantum gates because our codes possess a convolutional structure. We end with an example of a ``grandfather'' quantum convolutional code that protects one qubit and one classical bit per frame by encoding them with one fresh ancilla qubit, one entangled bit, and one gauge qubit per frame. We explicitly provide the encoding and decoding circuits for this example.
dc.description5 pages, 1 figure, Accepted for publication in the Proceedings of the 2008 IEEE International Symposium on Information Theory (ISIT 2008)
dc.identifierhttps://arxiv.org/abs/0801.0821
dc.identifierhttp://arxiv.org/abs/0801.0821
dc.identifierProceedings of the 2008 International Symposium on Information Theory, pp. 359-363, Toronto, Ontario, Canada, July 2008.
dc.identifierdoi:10.1109/ISIT.2008.4595008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171772
dc.subjectQuantum Physics
dc.subjectInformation Theory
dc.titleUnified Quantum Convolutional Coding
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