Algorithmic complexity of quantum states

dc.creatorMora, C.
dc.creatorBriegel, H. J.
dc.date2004-12-22
dc.date.accessioned2026-07-07T06:11:50Z
dc.date.available2026-07-07T06:11:50Z
dc.descriptionIn this paper we give a definition for the Kolmogorov complexity of a pure quantum state. In classical information theory the algorithmic complexity of a string is a measure of the information needed by a universal machine to reproduce the string itself. We define the complexity of a quantum state by means of the classical description complexity of an (abstract) experimental procedure that allows us to prepare the state with a given fidelity. We argue that our definition satisfies the intuitive idea of complexity as a measure of ``how difficult'' it is to prepare a state. We apply this definition to give an upper bound on the algorithmic complexity of a number of states.
dc.description24 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0412172
dc.identifierhttp://arxiv.org/abs/quant-ph/0412172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92604
dc.subjectQuantum Physics
dc.titleAlgorithmic complexity of quantum states
dc.typetext

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