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A de Finetti Representation Theorem for Quantum Process Tomography | | Christopher A. Fuchs
; Ruediger Schack
; Petra F. Scudo
; | | Date: |
28 Jul 2003 | | Journal: | Phys. Rev. A 69, 062305 (2004) | | Subject: | quant-ph | | Abstract: | In quantum process tomography, it is possible to express the experimenter’s prior information as a sequence of quantum operations, i.e., trace-preserving completely positive maps. In analogy to de Finetti’s concept of exchangeability for probability distributions, we give a definition of exchangeability for sequences of quantum operations. We then state and prove a representation theorem for such exchangeable sequences. The theorem leads to a simple characterization of admissible priors for quantum process tomography and solves to a Bayesian’s satisfaction the problem of an unknown quantum operation. | | Source: | arXiv, quant-ph/0307198 | | Services: | Forum | Review | PDF | Favorites | |
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