Experimental limits on complete positivity from the system

Benatti, Fabio; Floreanini, Roberto

doi:10.1016/s0370-2693(97)00409-7

Cited by 34 publications

(23 citation statements)

References 24 publications

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“…Our model can be compared with the case where decoherence in the time evolution (2.3) happens at a 1-particle level and is transferred to the 2-particle level by a tensor product of the 1-particle Hilbert spaces [18]. Using the same structure of the decoherence term (2.4), where now the operators project to the 1-particle states instead of states (2.8), we obtain the relation…”

Section: Connection To a Phenomenological Modelmentioning

confidence: 94%

“…Bennett et al [63] found a remarkable simple formula for entanglement of formation 17) where the function E(f (ρ)) is defined by 18) and E(f (ρ)) = 0 for f < 1 2 . The function H represents the familiar binary entropy function H(x) = −x log 2 x−(1−x) log 2 (1−x).…”

Section: Definitionsmentioning

confidence: 99%

“…For instance, QM versus local realistic theories [1][2][3][4] and Bell inequalities [5][6][7][8][9][10][11][12] have been tested. Furthermore, possible deviations from the quantum mechanical time evolution have been studied, particularly in the neutral K-meson system [13][14][15][16][17][18][19] and B-meson system [20][21][22][23][24]. Recently also neutrino oscillations have become of interest in this connection [25].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Decoherence of entangled kaons and its connection to entanglement measures

2003

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We study the time evolution of the entangled kaon system by considering the Liouville -von Neumann equation with an additional term which allows for decoherence. We choose as generators of decoherence the projectors to the 2-particle eigenstates of the Hamiltonian. Then we compare this model with the data of the CPLEAR experiment and find in this way an upper bound on the strength λ of the decoherence. We also relate λ to an effective decoherence parameter ζ considered previously in literature. Finally we discuss our model in the light of different measures of entanglement, i.e. the von Neumann entropy S, the entanglement of formation E and the concurrence C, and we relate the decoherence parameter ζ to the loss of entanglement: 1 − E.

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Section: Connection To a Phenomenological Modelmentioning

confidence: 94%

Section: Definitionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Decoherence of entangled kaons and its connection to entanglement measures

2003

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“…(148) allows one to calculate the frequency of occurence of the events detected by the apparatus tuned to R f as a function of all the 16 paramters to any order in the small ones. Explicit expressions have been published for 3 QMV parameters [70,81], for 6 ones [77,82], and for 9 ones [69].…”

Section: Entangled Kaon Pairsmentioning

confidence: 99%

Plate with a hole obeys the averaged null energy condition

Graham

Olum

2005

Phys. Rev. D

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During the recent years experiments with neutral kaons have yielded remarkably sensitive results which are pertinent to such fundamental phenomena as CPT invariance (protecting causality), timereversal invariance violation, coherence of wave functions, and entanglement of kaons in pair states. We describe the phenomenological developments and the theoretical conclusions drawn from the experimental material. An outlook to future experimentation is indicated.

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“…Bounds on dissipative parameters have already been derived from studies of neutral meson systems [5,[10][11][12][13] and neutron interferometry [14]. A first attempt to use neutrino systems to investigate quantum dissipative effects was reported in Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum dissipative effects and neutrinos: Current constraints and future perspectives

et al. 2001

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We establish the most stringent experimental constraints coming from recent terrestrial neutrino experiments on quantum mechanical decoherence effects in neutrino systems. Taking a completely phenomenological approach, we probe vacuum oscillations plus quantum decoherence between two neutrino species in the channels ν µ → ν τ , ν µ → ν e and ν e → ν τ , admitting that the quantum decoherence parameter γ is related to the neutrino energy E ν as : γ = γ 0 E n ν , with n = −1, 0, 1 and 2. Our bounds are valid for a neutrino mass squared difference compatible with the atmospheric, the solar and, in many cases, the LSND scale. We also qualitatively discuss the perspectives of the future long baseline neutrino experiments to further probe quantum dissipation.

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Experimental limits on complete positivity from the system

Cited by 34 publications

References 24 publications

Decoherence of entangled kaons and its connection to entanglement measures

Decoherence of entangled kaons and its connection to entanglement measures

Plate with a hole obeys the averaged null energy condition

Quantum dissipative effects and neutrinos: Current constraints and future perspectives

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