The Adaptive Classical Capacity of a Quantum Channel, or Information Capacities of Three Symmetric Pure States in Three Dimensions

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dc.creatorShor, Peter W.
dc.date2002-06-10
dc.date2003-05-22
dc.date.accessioned2026-07-07T06:04:21Z
dc.date.available2026-07-07T06:04:21Z
dc.descriptionWe investigate the capacity of three symmetric quantum states in three real dimensions to carry classical information. Several such capacities have already been defined, depending on what operations are allowed in the sending and receiving protocols. These include the C_{1,1} capacity, which is the capacity achievable if separate measurements must be used for each of the received states, and the C_{1,infinity} capacity, which is the capacity achievable if joint measurements are allowed on the tensor product of all the received states. We discover a new classical information capacity of quantum channels, the adaptive capacity C_{1,A}, which lies strictly between the C_{1,1} and the C_{1,infinity} capacities. The adaptive capacity requires each of the signals to be measured by a separate apparatus, but allows the quantum states of these signals to be measured in stages, with the first stage partially reducing their quantum states, and where measurements in subsequent stages which further reduce the quantum states may depend on the results of a classical computation taking as input the outcomes of the first round of measurements.
dc.description44 pages, 17 figures, minor errors corrected and new Conjecture 1 added (thus renumbering all conjectures); replaced in May, 2003 to correct more minor errors
dc.identifierhttps://arxiv.org/abs/quant-ph/0206058
dc.identifierhttp://arxiv.org/abs/quant-ph/0206058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90267
dc.subjectQuantum Physics
dc.titleThe Adaptive Classical Capacity of a Quantum Channel, or Information Capacities of Three Symmetric Pure States in Three Dimensions
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