The prime factorization property of entangled quantum states

Details The prime factorization property of entangled quantum states The prime factorization property of entangled quantum states

1994-09-26

arxiv.org/abs/hep-th/9409150v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 15.5K Latex

Scientific paper

Completely 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.

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