The prime factorization property of entangled quantum states

dc.creatorFivel, Daniel I.
dc.date1994-09-26
dc.date.accessioned2026-07-07T04:20:33Z
dc.date.available2026-07-07T04:20:33Z
dc.descriptionCompletely entangled quantum states are shown to factorize into tensor products of entangled states whose dimensions are powers of prime numbers. The entangled states of each prime-power dimension transform among themselves under a finite Heisenberg group. We are thus led to examine processes in which factors are exchanged between entangled states and so consider canonical ensembles in which these processes occur. It is shown that the Riemann zeta function is the appropriate partition function and that the Riemann hypothesis makes a prediction about the high temperature contribution of modes of large dimension.
dc.description7 pages, 15.5K Latex
dc.identifierhttps://arxiv.org/abs/hep-th/9409150
dc.identifierhttp://arxiv.org/abs/hep-th/9409150
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53988
dc.subjectHigh Energy Physics - Theory
dc.titleThe prime factorization property of entangled quantum states
dc.typetext

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