2010
DOI: 10.1142/s0217984910024407
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Statistical Quantum Operation

Abstract: A generic unital positive operator-valued measure (POVM), which transforms a given stationary pure state to an arbitrary statistical state with perfect decoherence, is presented. This allows one to operationally realize thermalization as a special case. The loss of information due to randomness generated by the operation is discussed by evaluating the entropy. Thermalization of the bipartite spin-1/2 system is discussed as an illustrative example.PACS number(s): 05.30.Ch

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Cited by 7 publications
(10 citation statements)
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References 16 publications
(8 reference statements)
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“…The solid lines present the precision estimated with current systematics and the dashed lines show the statistical limit with zero systematic uncertainty. The points on the curves show the precision of published results for Daya Bay [5,62,63,64], Double Chooz [6,65,66,67] and RENO [7,68]. The hollow markers refer to the rate-only analysis and the solid markers refer to the rate and shape analysis.…”
Section: Kamlandmentioning
confidence: 82%
“…The solid lines present the precision estimated with current systematics and the dashed lines show the statistical limit with zero systematic uncertainty. The points on the curves show the precision of published results for Daya Bay [5,62,63,64], Double Chooz [6,65,66,67] and RENO [7,68]. The hollow markers refer to the rate-only analysis and the solid markers refer to the rate and shape analysis.…”
Section: Kamlandmentioning
confidence: 82%
“…The analysis uses 8249 electron antineutrino candidate events detected over about one year with Double Chooz's liquid scintillator based far detector. The antineutrinos are detected with the inverse beta decay reaction ν e p → e + n, which creates a coincidence of signals separated in time from the initial positron interaction followed by a delayed neutron capture on a gadolinium or hydrogen nucleus [24]. The dominant backgrounds are spallation products ( 9 Li and 8 He), stopping muons, and cosmic-and radioactivityinduced fast neutrons.…”
Section: Discussionmentioning
confidence: 99%
“…[5] and further studied in Refs. [4,6]. Then, we present some examples of underlying unitary transformations.…”
Section: Unital Statistical Quantum Operation and Its Underlying Unitmentioning
confidence: 99%