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Privacy from Accelerating Eavesdroppers: The Impact of Losses

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Horizons of the Mind. A Tribute to Prakash Panangaden

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8464))

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Abstract

We investigate a communication scenario in which two inertial observers attempt to securely communicate quantum information via a noisy channel in the presence of a uniformly accelerating eavesdropper. Due to her acceleration, the eavesdropper is subject to Unruh noise which can potentially be exploited to design a secure communication protocol. This problem had previously been studied by Panangaden and co-authors for the special case in which the channel between the inertial observers is noiseless. In this article, we consider noise in the form of a lossy bosonic channel. Our calculations demonstrate that for a fixed acceleration, there is a secure communication protocol provided the noise is below a threshold value.

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References

  1. Peres, A., Terno, D.R.: Quantum information and relativity theory. Reviews of Modern Physics 76, 93–123 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  2. Gingrich, R.M., Adami, C.: Quantum entanglement of moving bodies. Physical Review Letters 89(27), 270402 (2002)

    Article  Google Scholar 

  3. Alsing, P.M., Milburn, G.J.: Teleportation with a uniformly accelerated partner. Physical Review Letters 91(18), 180404 (2003)

    Article  Google Scholar 

  4. Kent, A.: Unconditionally secure bit commitment. Physical Review Letters 83, 1447–1450 (1999)

    Article  Google Scholar 

  5. Martin-Martinez, E., Fuentes, I., Mann, R.B.: Using Berry’s phase to detect the Unruh effect at lower accelerations. Physical Review Letters 1067, 131301 (2011)

    Article  Google Scholar 

  6. Hayden, P., May, A.: Summoning information in spacetime, or where and when can a qubit be? arXiv preprint arXiv:1210.0913 (2012)

    Google Scholar 

  7. Kent, A.: A no-summoning theorem in relativistic quantum theory. Quantum Information Processing 12(2), 1023–1032 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  8. Downes, T., Ralph, T., Walk, N.: Quantum communication with an accelerated partner. Physical Review A 87(1), 012327 (2013)

    Google Scholar 

  9. Bruschi, D.E., Ralph, T., Fuentes, I., Jennewein, T., Razavi, M.: Spacetime effects on satellite-based quantum communications. arXiv preprint arXiv:1309.3088 (2013)

    Google Scholar 

  10. Fulling, S.A.: Nonuniqueness of canonical field quantization in Riemannian space-time. Physical Review D 7(10), 2850–2862 (1973)

    Article  Google Scholar 

  11. Davies, P.C.W.: Scalar production in Schwarzschild and Rindler metrics. Journal of Physics A: Mathematical and General 8, 609 (1975)

    Article  Google Scholar 

  12. Unruh, W.G.: Notes on black-hole evaporation. Physical Review D 14(4), 870–892 (1976)

    Article  Google Scholar 

  13. Unruh, W.G., Wald, R.M.: What happens when an accelerating observer detects a Rindler particle. Physical Review D 29(6), 1047–1056 (1984)

    Article  Google Scholar 

  14. BrĂ¡dler, K., Hayden, P., Panangaden, P.: Private information via the unruh effect. Journal of High Energy Physics 8, 074 (2009)

    Google Scholar 

  15. BrĂ¡dler, K., Hayden, P., Panangaden, P.: Quantum communication in Rindler spacetime. Communications in Mathematical Physics 312(2), 361–398 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  16. Bennett, C.H., Shor, P.W., Smolin, J.A., Thapliyal, A.V.: Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem. IEEE Transactions on Information Theory 48(10), 2637–2655 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  17. Agarwal, G.S.: Quantum optics. Cambridge University Press (2013)

    Google Scholar 

  18. Bruschi, D.E., Louko, J., Martín-Martínez, E., Dragan, A., Fuentes, I.: Unruh effect in quantum information beyond the single-mode approximation. Physical Review A 82(4), 042332 (2010)

    Google Scholar 

  19. BrĂ¡dler, K., Dutil, N., Hayden, P., Muhammad, A.: Conjugate Degradability and the Quantum Capacity of Cloning Channels. Journal of Mathematical Physics 51, 072201 (2010)

    Google Scholar 

  20. Nielsen, M.A., Chuang, I.L.: Quantum computation and quantum information. Cambridge University Press (2000)

    Google Scholar 

  21. Holevo, A.S., Werner, R.F.: Evaluating capacities of bosonic gaussian channels. Physical Review A 63(3), 032312 (2001)

    Google Scholar 

  22. Giovannetti, V., Guha, S., Lloyd, S., Maccone, L., Shapiro, J.H., Yuen, H.P.: Classical capacity of the lossy bosonic channel: The exact solution. arXiv preprint quant-ph/0308012 (2003)

    Google Scholar 

  23. Devetak, I., Shor, P.W.: The capacity of a quantum channel for simultaneous transmission of classical and quantum information. Communications in Mathematical Physics 256(2), 287–303 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  24. Hayden, P., Winter, A.: Counterexamples to the maximal p-norm multiplicativity conjecture for all p > 1. Communications in Mathematical Physics 284(1), 263–280 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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Bognat, A., Hayden, P. (2014). Privacy from Accelerating Eavesdroppers: The Impact of Losses. In: van Breugel, F., Kashefi, E., Palamidessi, C., Rutten, J. (eds) Horizons of the Mind. A Tribute to Prakash Panangaden. Lecture Notes in Computer Science, vol 8464. Springer, Cham. https://doi.org/10.1007/978-3-319-06880-0_9

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  • DOI: https://doi.org/10.1007/978-3-319-06880-0_9

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06879-4

  • Online ISBN: 978-3-319-06880-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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