Physics – Quantum Physics
Scientific paper
2004-04-27
Physics
Quantum Physics
37 pages, 3 figures, to appear in "Quantum Estimation Theory," edited by M.G.A. Paris and J. Rehacek (Springer-Verlag, Berlin,
Scientific paper
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 paper, 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.
Fuchs Christopher A.
Schack Ruediger
No associations
LandOfFree
Unknown Quantum States and Operations, a Bayesian View does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Unknown Quantum States and Operations, a Bayesian View, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unknown Quantum States and Operations, a Bayesian View will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-511437