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- W1480647633 abstract "The classical de Finetti theorem provides an operational definition of the concept of an unknown probability in Bayesian probability theory, where probabilities are taken to be degrees of belief instead of objective states of nature. In this chapter, we motivate and review two results that generalize de Finetti’s theorem to the quantum mechanical setting: Namely a de Finetti theorem for quantum states and a de Finetti theorem for quantum operations. The quantum-state theorem, in a closely analogous fashion to the original de Finetti theorem, deals with exchangeable density-operator assignments and provides an operational definition of the concept of an “unknown quantum state” in quantum-state tomography. Similarly, the quantum-operation theorem gives an operational definition of an “unknown quantum operation” in quantum-process tomography. These results are especially important for a Bayesian interpretation of quantum mechanics, where quantum states and (at least some) quantum operations are taken to be states of belief rather than states of nature." @default.
- W1480647633 created "2016-06-24" @default.
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- W1480647633 date "2004-08-18" @default.
- W1480647633 modified "2023-10-13" @default.
- W1480647633 title "5 Unknown Quantum States and Operations,a Bayesian View" @default.
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- W1480647633 doi "https://doi.org/10.1007/978-3-540-44481-7_5" @default.
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