Transition probabilities and transition rates in discrete phase space

• URL: http://arxiv.org/abs/2007.10187v2
• Date: Mon, 12 Oct 2020 11:25:24 GMT
• Title: Transition probabilities and transition rates in discrete phase space
• Authors: William F. Braasch Jr. and William K. Wootters
• Abstract summary: We show how the transition rates for any Hamiltonian evolution can be worked out by expanding the Hamiltonian as a linear combination of displacement operators in the discrete phase space.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The evolution of the discrete Wigner function is formally similar to a probabilistic process, but the transition probabilities, like the discrete Wigner function itself, can be negative. We investigate these transition probabilities, as well as the transition rates for a continuous process, aiming particularly to give simple criteria for deciding when a set of such quantities corresponds to a legitimate quantum process. We also show how the transition rates for any Hamiltonian evolution can be worked out by expanding the Hamiltonian as a linear combination of displacement operators in the discrete phase space.

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