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Erschienen in: Quantum Information Processing 2/2021

01.02.2021

Generating entangled fermions by projective measurements in Gauss–Bonnet spacetime

verfasst von: Limei Jing, Jiliang Jing

Erschienen in: Quantum Information Processing | Ausgabe 2/2021

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Abstract

The properties of the ferimonic entangled states resulting from the projective measurements in the Gauss–Bonnet spacetime are studied. It is found that the degree of entanglement, for projection onto double particles state, increases monotonously as the Hawking temperature T increases but decreases monotonously as the frequency of the detected particles increases; and for projection onto single particle state, the particle states are entangled for spin picture but are separable states for occupation number picture as \(T\rightarrow 0\), while the particle states for the both pictures are entangled as \(T\rightarrow \infty \). It is also shown that the Gauss–Bonnet coefficient \(\alpha \) and dimension d of the spacetime will affect the entanglement greatly.

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Literatur
1.
Zurück zum Zitat Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
3.
Zurück zum Zitat Alsing, P.M., Milburn, G.J.: Teleportation with a uniformly accelerated partner. Phys. Rev. Lett. 91, 180404 (2003)CrossRefADS Alsing, P.M., Milburn, G.J.: Teleportation with a uniformly accelerated partner. Phys. Rev. Lett. 91, 180404 (2003)CrossRefADS
4.
Zurück zum Zitat Fuentes-Schuller, I., Mann, R.B.: Alice falls into a black hole: entanglement in noninertial frames. Phys. Rev. Lett. 95, 120404 (2005)MathSciNetCrossRefADS Fuentes-Schuller, I., Mann, R.B.: Alice falls into a black hole: entanglement in noninertial frames. Phys. Rev. Lett. 95, 120404 (2005)MathSciNetCrossRefADS
5.
Zurück zum Zitat Martín-Martínez, E., León, J.: Quantum correlations through event horizons: fermionic versus bosonic entanglement. Phys. Rev. A 81, 032320 (2010)CrossRefADS Martín-Martínez, E., León, J.: Quantum correlations through event horizons: fermionic versus bosonic entanglement. Phys. Rev. A 81, 032320 (2010)CrossRefADS
6.
Zurück zum Zitat Alsing, P.M., Fuentes-Schuller, I., Mann, R.B., Tessier, T.E.: Entanglement of Dirac fields in noninertia frames. Phys. Rev. A 74, 032326 (2006)CrossRefADS Alsing, P.M., Fuentes-Schuller, I., Mann, R.B., Tessier, T.E.: Entanglement of Dirac fields in noninertia frames. Phys. Rev. A 74, 032326 (2006)CrossRefADS
7.
Zurück zum Zitat Pan, Q., Jing, J.: Hawking radiation, enatanglement and teleportation in background of an asymptotically flat static black hole. Phys. Rev. D 78, 065015 (2008)MathSciNetCrossRefADS Pan, Q., Jing, J.: Hawking radiation, enatanglement and teleportation in background of an asymptotically flat static black hole. Phys. Rev. D 78, 065015 (2008)MathSciNetCrossRefADS
8.
Zurück zum Zitat León, J., Martín-Martínez, E.: Spin and occupation number entanglement of Dirac fields for noninertial observers. Phys. Rev. A 80, 012314 (2009)CrossRefADS León, J., Martín-Martínez, E.: Spin and occupation number entanglement of Dirac fields for noninertial observers. Phys. Rev. A 80, 012314 (2009)CrossRefADS
9.
Zurück zum Zitat Pan, Q., Jing, J.: Degradation of non-maximal entanglement of scalar and Dirac fields in non-inertial frames. Phys. Rev. A 77, 024302 (2008)CrossRefADS Pan, Q., Jing, J.: Degradation of non-maximal entanglement of scalar and Dirac fields in non-inertial frames. Phys. Rev. A 77, 024302 (2008)CrossRefADS
10.
Zurück zum Zitat Ge, X.-H., Kim, S.P.: Quantum entanglement and teleportation in higher dimensional black hole spacetimes. Class. Quantum Grav 25, 075011 (2008)MathSciNetCrossRefADS Ge, X.-H., Kim, S.P.: Quantum entanglement and teleportation in higher dimensional black hole spacetimes. Class. Quantum Grav 25, 075011 (2008)MathSciNetCrossRefADS
11.
Zurück zum Zitat Adesso, G., Fuentes-Schuller, I., Ericsson, M.: Continuous-variable entanglement sharing in noninertial frames. Phys. Rev. A 76, 062112 (2007)MathSciNetCrossRefADS Adesso, G., Fuentes-Schuller, I., Ericsson, M.: Continuous-variable entanglement sharing in noninertial frames. Phys. Rev. A 76, 062112 (2007)MathSciNetCrossRefADS
12.
Zurück zum Zitat Huang, Z., Tian, Z.: Dynamics of quantum entanglement in de Sitter spacetime and thermal Minkowski spacetime. Nucl. Phys. B 923, 458 (2017)MathSciNetCrossRefADS Huang, Z., Tian, Z.: Dynamics of quantum entanglement in de Sitter spacetime and thermal Minkowski spacetime. Nucl. Phys. B 923, 458 (2017)MathSciNetCrossRefADS
13.
Zurück zum Zitat Huang, Z.: Quantum entanglement of nontrivial spacetime topology. Eur. Phys. J. C 80, 131 (2020)CrossRefADS Huang, Z.: Quantum entanglement of nontrivial spacetime topology. Eur. Phys. J. C 80, 131 (2020)CrossRefADS
14.
Zurück zum Zitat Dong, Q., Sun, G.H., Toutounji, M., Dong, S.H.: Tetrapartite entanglement measures of GHZ state with nonuniform acceleration. Optics 201, 163487 (2020)ADS Dong, Q., Sun, G.H., Toutounji, M., Dong, S.H.: Tetrapartite entanglement measures of GHZ state with nonuniform acceleration. Optics 201, 163487 (2020)ADS
15.
Zurück zum Zitat Qiang, W.C., Dong, Q., Sanchez, M.A.M., Sun, G.H., Dong, S.H.: Entanglement property of the Werner state in accelerated frames. Quant. Inf. Process. 18, 314 (2019)MathSciNetCrossRefADS Qiang, W.C., Dong, Q., Sanchez, M.A.M., Sun, G.H., Dong, S.H.: Entanglement property of the Werner state in accelerated frames. Quant. Inf. Process. 18, 314 (2019)MathSciNetCrossRefADS
16.
Zurück zum Zitat Torres-Arenas, A.J., Lopez-Zuniga, E., Saldana-Herrera, J.A., Dong, Q., Sun, G.H., Dong, S.H.: Tetrapartite entanglement measures of W-class in noninertial frames. Chin. Phys. B 28, 070301 (2019)CrossRefADS Torres-Arenas, A.J., Lopez-Zuniga, E., Saldana-Herrera, J.A., Dong, Q., Sun, G.H., Dong, S.H.: Tetrapartite entanglement measures of W-class in noninertial frames. Chin. Phys. B 28, 070301 (2019)CrossRefADS
17.
Zurück zum Zitat Dong, Q., Torres-Arenas, A.J., Sun, G.H., Qiang, W.C., Dong, S.H.: Entanglement measures of a new type pseudo-pure state in accelerated frames. Front. Phys. 14, 21603 (2019)CrossRefADS Dong, Q., Torres-Arenas, A.J., Sun, G.H., Qiang, W.C., Dong, S.H.: Entanglement measures of a new type pseudo-pure state in accelerated frames. Front. Phys. 14, 21603 (2019)CrossRefADS
18.
Zurück zum Zitat Qiang, W.C., Sun, G.H., Dong, Q., Dong, S.H.: Genuine multipartite concurrence for entanglement of Dirac fields in noninertial frames. Phys. Rev. A 98, 022320 (2018)CrossRefADS Qiang, W.C., Sun, G.H., Dong, Q., Dong, S.H.: Genuine multipartite concurrence for entanglement of Dirac fields in noninertial frames. Phys. Rev. A 98, 022320 (2018)CrossRefADS
19.
Zurück zum Zitat Wang, J., Jing, J.: Multipartite entanglement of fermionic systems in noninertial frames. Phys. Rev. A 83, 022314 (2011)CrossRefADS Wang, J., Jing, J.: Multipartite entanglement of fermionic systems in noninertial frames. Phys. Rev. A 83, 022314 (2011)CrossRefADS
20.
21.
Zurück zum Zitat Martín-Martínez, E., Garay, L.J., León, J.: Unveiling quantum entanglement degradation near a Schwarzschild black hole. Phys. Rev. D 82, 064006 (2010)CrossRefADS Martín-Martínez, E., Garay, L.J., León, J.: Unveiling quantum entanglement degradation near a Schwarzschild black hole. Phys. Rev. D 82, 064006 (2010)CrossRefADS
22.
Zurück zum Zitat Wang, J., Pan, Q., Chen, S., Jing, J.: Entanglement of coupled massive scalar field in background of Dilaton black hole. Phys. Lett. B 677, 186–189 (2009)MathSciNetCrossRefADS Wang, J., Pan, Q., Chen, S., Jing, J.: Entanglement of coupled massive scalar field in background of Dilaton black hole. Phys. Lett. B 677, 186–189 (2009)MathSciNetCrossRefADS
23.
Zurück zum Zitat Wang, J., Pan, Q., Jing, J.: Entanglement redistribution in the Schwarzschild spacetime. Phys. Lett. B 602, 202 (2010)CrossRefADS Wang, J., Pan, Q., Jing, J.: Entanglement redistribution in the Schwarzschild spacetime. Phys. Lett. B 602, 202 (2010)CrossRefADS
24.
Zurück zum Zitat Esfahani, B.N., Shamirzaie, M., Soltani, M.: Reduction of entanglement degradation and teleportation improvement in Gauss–Bonnet gravity. Phys. Rev. D 84, 025024 (2011)CrossRefADS Esfahani, B.N., Shamirzaie, M., Soltani, M.: Reduction of entanglement degradation and teleportation improvement in Gauss–Bonnet gravity. Phys. Rev. D 84, 025024 (2011)CrossRefADS
25.
Zurück zum Zitat Han, M., Olson, J.S., Dowling, J.P.: Generating entangled photons from the vacuum by accelerated measurements: quantum information theory meets the Unruh–Davies effect. Phys. Rev. A 78, 022302 (2008)CrossRefADS Han, M., Olson, J.S., Dowling, J.P.: Generating entangled photons from the vacuum by accelerated measurements: quantum information theory meets the Unruh–Davies effect. Phys. Rev. A 78, 022302 (2008)CrossRefADS
26.
Zurück zum Zitat Ostapchuk, D.C.M., Mann, R.B.: Generating entangled fermions by accelerated measurements on the vacuum. Phys. Rev. A 79, 04233 (2009)CrossRef Ostapchuk, D.C.M., Mann, R.B.: Generating entangled fermions by accelerated measurements on the vacuum. Phys. Rev. A 79, 04233 (2009)CrossRef
27.
Zurück zum Zitat Wang, J., Pan, Q., Jing, J.: Projective measurements and generation of entangled Dirac particles in Schwarzschild spacetime. Ann. Phys. 325, 1190–1197 (2010)MathSciNetCrossRefADS Wang, J., Pan, Q., Jing, J.: Projective measurements and generation of entangled Dirac particles in Schwarzschild spacetime. Ann. Phys. 325, 1190–1197 (2010)MathSciNetCrossRefADS
28.
29.
Zurück zum Zitat Das, S.R., Gibbons, G.W., Mathur, S.D.: Universailty of low energy absorption cross-sections for black holes. Phys. Rev. Lett. 78, 417–419 (1997)CrossRefADS Das, S.R., Gibbons, G.W., Mathur, S.D.: Universailty of low energy absorption cross-sections for black holes. Phys. Rev. Lett. 78, 417–419 (1997)CrossRefADS
30.
31.
Zurück zum Zitat Damour, T., Ruffini, R.: Black-hole evaporation in the Klein–Sauter–Heisenberg–Euler formalism. Phys. Rev. D 14, 332 (1976)CrossRefADS Damour, T., Ruffini, R.: Black-hole evaporation in the Klein–Sauter–Heisenberg–Euler formalism. Phys. Rev. D 14, 332 (1976)CrossRefADS
32.
Zurück zum Zitat Sannan, S.: Heuristic derivation of the probability distributions of particles emitted by a black hole. Gen. Relat. Gravit. 20, 239 (1988)MathSciNetCrossRefADS Sannan, S.: Heuristic derivation of the probability distributions of particles emitted by a black hole. Gen. Relat. Gravit. 20, 239 (1988)MathSciNetCrossRefADS
33.
Zurück zum Zitat Zhao, Z., Gui, Y.X.: The connection between Unruh scheme and Damour–Ruffini scheme in Rindler space-time and \(\eta -\varepsilon \) space-time. IL Nuovo Cimento B 109, 355 (1994)MathSciNetCrossRef Zhao, Z., Gui, Y.X.: The connection between Unruh scheme and Damour–Ruffini scheme in Rindler space-time and \(\eta -\varepsilon \) space-time. IL Nuovo Cimento B 109, 355 (1994)MathSciNetCrossRef
34.
Zurück zum Zitat Birrell, N.D., Davies, P.C.W.: Quantum Field in Curved Space. Cambridge University Press, Cambridge (1982)CrossRef Birrell, N.D., Davies, P.C.W.: Quantum Field in Curved Space. Cambridge University Press, Cambridge (1982)CrossRef
35.
Zurück zum Zitat Cho, H.T., Cornell, A.S., Doukas, J., Naylor, W.: Split fermion quasi-normal modes. Phys. Rev. D 75, 104005 (2007)CrossRefADS Cho, H.T., Cornell, A.S., Doukas, J., Naylor, W.: Split fermion quasi-normal modes. Phys. Rev. D 75, 104005 (2007)CrossRefADS
36.
Zurück zum Zitat Cho, H.T., Cornell, A.S., Doukas, J., Naylor, W.: Fermion excitations of a tense Brane black hole. Phys. Rev. D 77, 041502 (2008)MathSciNetCrossRefADS Cho, H.T., Cornell, A.S., Doukas, J., Naylor, W.: Fermion excitations of a tense Brane black hole. Phys. Rev. D 77, 041502 (2008)MathSciNetCrossRefADS
37.
Zurück zum Zitat Camporesi, R., Higuchi, A.: On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces. J. Geom. Phys. 20, 1–18 (1996)MathSciNetCrossRefADS Camporesi, R., Higuchi, A.: On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces. J. Geom. Phys. 20, 1–18 (1996)MathSciNetCrossRefADS
38.
Zurück zum Zitat Barnett, S.M., Radmore, P.M.: Methods in Theoretical Quantum Optics. Oxford University Press, New York (1997)MATH Barnett, S.M., Radmore, P.M.: Methods in Theoretical Quantum Optics. Oxford University Press, New York (1997)MATH
Metadaten
Titel
Generating entangled fermions by projective measurements in Gauss–Bonnet spacetime
verfasst von
Limei Jing
Jiliang Jing
Publikationsdatum
01.02.2021
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 2/2021
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-021-02995-4

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