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Articles

State discrimination of two pure states with a fixed rate of inconclusive answer

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Pages 192-199 | Received 04 Apr 2017, Accepted 12 Sep 2017, Published online: 17 Oct 2017

References

  • Gisin, N.; Ribordy, G.; Tittel, W.; Zbinden, H. Quantum Cryptography. Rev. Mod. Phys. 2002, 74, 145–195.10.1103/RevModPhys.74.145
  • Scarani, V.; Bechmann-Pasquinucci, H.; Cerf, N.J.; Dusek, M.; Lutkenhaus, N.; Peev, M. The Security of Practical Quantum Key Distribution. Rev. Mod. Phys. 2009, 81, 1301–1350.10.1103/RevModPhys.81.1301
  • Chefles, A. Quantum State Discrimination. Contemp Phys. 2000, 4, 401–424.10.1080/00107510010002599
  • Barnett, S.M.; Croke, S. Quantum State Discrimination. Adv. Opt. Photon. 2009, 1, 238–278.10.1364/AOP.1.000238
  • Bergou, J.A. Discrimination of Quantum States. J. Mod. Opt. 2010, 57, 160–180.10.1080/09500340903477756
  • Helstrom, C.W. Quantum Detection and Estimation Theory; Academic Press, New York, 1976.
  • Ivanovic, I.D. How to Differentiate between Non-Orthogonal States. Phys. Lett. A 1987, 123, 257–259.10.1016/0375-9601(87)90222-2
  • Dieks, D. Overlap and Distinguishability of Quantum States. Phys. Lett. A 1988, 126, 303–306.10.1016/0375-9601(88)90840-7
  • Peres, P. How to Differentiate between Non-Orthogonal States. Phys. Lett. A 1988, 128, 19–19.10.1016/0375-9601(88)91034-1
  • Jeager, G.; Shimony, A. Optimal Distinction between Non-Orthogonal Quantum States. Phys. Lett. A 1995, 197, 83–87.10.1016/0375-9601(94)00919-G
  • Chefles, A.; Barnett, S.M. Strategies for Discriminating between Non-Orthogonal Quantum States. J. Mod. Opt. 1998, 45, 1295.10.1080/09500349808230919
  • Assalini, A.; Cariolaro, G.; Pierobon, G. Efficient Optimal Minimum Error Discrimination of Symmetric Quantum States. Phys. Rev. A 2010, 81, 012315.10.1103/PhysRevA.81.012315
  • Bae, J.; Hwang, W.Y. Minimum-Error Discrimination of Qubit States: Methods, Solutions, and Properties. Phys. Rev. A 2013, 87, 012334.10.1103/PhysRevA.87.012334
  • Samsonov, B.F. Optimal Positive-Operator-Valued Measures for Unambiguous State Discrimination. Phys. Rev. A 2009, 79, 042312.10.1103/PhysRevA.79.042312
  • Bergou, J.A.; Futschik, U.; Feldman, E. Optimal Unambiguous Discrimination of Pure Quantum States. Phys. Rev. Lett. 2012, 108, 250502.10.1103/PhysRevLett.108.250502
  • Zhang, W.H.; Yu, L.B.; Cao, Z.L.; Liu, Ye. Optimal Unambiguous Discrimination of Pure Qudits. Quantum Inf. Process. 2014, 13, 503–511.10.1007/s11128-013-0666-x
  • Fiurasek, J.; Jezek, M. Optimal Discrimination of Mixed Quantum States Involving Inconclusive Results. Phys. Rev. A 2003, 67, 012321.10.1103/PhysRevA.67.012321
  • Sugimoto, H.; Hashimoto, T.; Horibe, M.; Hayashi, A. Discrimination with Error Margin between Two States: Case of General Occurrence Probabilities. Phys. Rev. A 2009, 80, 052322.10.1103/PhysRevA.80.052322
  • Bagan, E.; Muñoz-Tapia1, R.; Olivares-Rentería, G.A.; Bergou, J.A. Optimal Discrimination of Quantum States with a Fixed Rate of Inconclusive Outcomes. Phys. Rev. A 2012, 86, 040303 (R).10.1103/PhysRevA.86.040303
  • Herzog, U. Optimal State Discrimination with a Fixed Rate of Inconclusive Results: Analytical Solutions and Relation to State Discrimination with a Fixed Error Rate. Phys. Rev. A 2012, 86, 032314.10.1103/PhysRevA.86.032314
  • Herzog, U. Optimal Measurements for the Discrimination of Quantum States with a Fixed Rate of Inconclusive Results. Phys. Rev. A 2015, 91, 042338.10.1103/PhysRevA.91.042338
  • Zhou, X.F.; Zhang, Y.S.; Guo, G.C. Unambiguous Discrimination of Mixed States: A Description based on System-Ancilla Coupling. Phys. Rev. A 2007, 75, 052314.10.1103/PhysRevA.75.052314
  • Chen, P.X.; Bergou, J.A.; Zhu, S.Y.; Guo, G.C. Ancilla Dimensions Needed to Carry Out Positive-Operator-Valued Measurement. Phys. Rev. A 2007, 76, 060303 (R).10.1103/PhysRevA.76.060303
  • Cerf, N.J.; Adami, C.; Kwiat, P.G. Phys. Rev. A 1998, 57, 1477–1480(R).10.1103/PhysRevA.57.R1477
  • Lasota, M.; Radzewicz, C.; Banaszek, K.; Thew, R. Linear Optics Schemes for Entanglement Distribution with Realistic Single-Photon Sources. Phys. Rev. A 2014, 90, 033836.10.1103/PhysRevA.90.033836
  • Guo, R.; Zhou, L.; Gu, S.P.; Wang, X.F.; Sheng, Y.B. Generation of Concatenated Greenberger-Horne –Zeilinger-Type Entangled Coherent State based on Linear Optics. Quantum Inf. Process. 2017, 16, 68.10.1007/s11128-017-1519-9
  • Agnew, M.; Bolduc, E.; Resc, K.J.; Franke-Arnold, S.; Leach, J. Discriminating Single-Photon States Unambiguously in High Dimensions. Phys. Rev. Lett. 2014, 113, 020501.10.1103/PhysRevLett.113.020501
  • Solís-Prosser, M.A.; González, P.; Fuenzalida, J. Experimental Multiparty Sequential State Discrimination. Phys. Rev. A 2016, 94, 042309.10.1103/PhysRevA.94.042309
  • Solís-Prosser, M.A.; Fernandes, M.F.; Jiménez, O. Experimental Minimum-Error Quantum-State Discrimination in High Dimensions. Phys. Rev. Lett. 2017, 118, 100501.10.1103/PhysRevLett.118.100501

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