About: Witnessing negativity of Wigner function by estimating fidelities of catlike states from homodyne measurements     Goto   Sponge   NotDistinct   Permalink

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  • We derive sampling functions for estimation of quantum-state fidelity with Schrodinger-cat-like states, which are defined as superpositions of two coherent states with opposite amplitudes. We also provide sampling functions for fidelity with squeezed Fock states that can approximate the catlike states and can be generated from Gaussian squeezed states by conditional photon subtraction. The fidelities can be determined by averaging the sampling functions over quadrature statistics measured by homodyne detection. The sampling functions are designed such that they can compensate for losses and inefficient homodyning provided that the overall efficiency exceeds a certain threshold. The fidelity with an odd coherent state and the fidelity with a squeezed odd Fock state provide convenient witnesses of negativity of the Wigner function of the measured state. The negativity of the Wigner function at the origin of phase space is certified if any of these fidelities exceeds 0.5. Finally, we discuss the possibility of reducing the statistical uncertainty of the fidelity estimates by a suitable choice of the dependence of the number of quadrature samples on the relative phase shift between the local oscillator and the signal beam.
  • We derive sampling functions for estimation of quantum-state fidelity with Schrodinger-cat-like states, which are defined as superpositions of two coherent states with opposite amplitudes. We also provide sampling functions for fidelity with squeezed Fock states that can approximate the catlike states and can be generated from Gaussian squeezed states by conditional photon subtraction. The fidelities can be determined by averaging the sampling functions over quadrature statistics measured by homodyne detection. The sampling functions are designed such that they can compensate for losses and inefficient homodyning provided that the overall efficiency exceeds a certain threshold. The fidelity with an odd coherent state and the fidelity with a squeezed odd Fock state provide convenient witnesses of negativity of the Wigner function of the measured state. The negativity of the Wigner function at the origin of phase space is certified if any of these fidelities exceeds 0.5. Finally, we discuss the possibility of reducing the statistical uncertainty of the fidelity estimates by a suitable choice of the dependence of the number of quadrature samples on the relative phase shift between the local oscillator and the signal beam. (en)
Title
  • Witnessing negativity of Wigner function by estimating fidelities of catlike states from homodyne measurements
  • Witnessing negativity of Wigner function by estimating fidelities of catlike states from homodyne measurements (en)
skos:prefLabel
  • Witnessing negativity of Wigner function by estimating fidelities of catlike states from homodyne measurements
  • Witnessing negativity of Wigner function by estimating fidelities of catlike states from homodyne measurements (en)
skos:notation
  • RIV/61989592:15310/13:33144347!RIV14-GA0-15310___
http://linked.open...avai/riv/aktivita
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  • P(GAP205/12/0577)
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  • 6
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  • 117428
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  • RIV/61989592:15310/13:33144347
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  • phase; information; quadrature distributions; density-matrix (en)
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  • US - Spojené státy americké
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  • [FD1D7E7525AD]
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  • Physical Review A
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  • 87
http://linked.open...iv/tvurceVysledku
  • Fiurášek, Jaromír
  • Ježek, Miroslav
http://linked.open...ain/vavai/riv/wos
  • 000320764300005
issn
  • 1050-2947
number of pages
http://bibframe.org/vocab/doi
  • 10.1103/PhysRevA.87.062115
http://localhost/t...ganizacniJednotka
  • 15310
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