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Erkenntnis

, Volume 84, Issue 1, pp 215–234 | Cite as

Would the Existence of CTCs Allow for Nonlocal Signaling?

  • Lucas DunlapEmail author
Original Research

Abstract

A recent paper from Brun et al. has argued that access to a closed timelike curve (CTC) would allow for the possibility of perfectly distinguishing nonorthogonal quantum states. This result can be used to develop a protocol for instantaneous nonlocal signaling. Several commenters have argued that nonlocal signaling must fail in this and in similar cases, often citing consistency with relativity as the justification. I argue that this objection fails to rule out nonlocal signaling in the presence of a CTC. I argue that the reason these authors are motivated to exclude the prediction of nonlocal signaling is because the No Signaling principle is considered to a fundamental part of the formulation of the quantum information approach. I draw out the relationship between nonlocal signaling, quantum information, and relativity, and argue that the principle theory formulation of quantum mechanics, which is at the foundation of the quantum information approach, is in tension with foundational assumptions of Deutsch’s D-CTC model, on which this protocol is based.

Notes

Acknowledgements

Funding was provided by Division of Social and Economic Sciences (Grant No. 1431229).

References

  1. Barrett, J. (2007). Information processing in generalized probabilistic theories. Physical Review A, 75(3), 032304.CrossRefGoogle Scholar
  2. Bennett, C. H., Leung, D., Smith, G., & Smolin, J. A. (2009). Can closed timelike curves or nonlinear quantum mechanics improve quantum state discrimination or help solve hard problems? Physical Review Letters, 103, 170502.CrossRefGoogle Scholar
  3. Brun, T. A., Harrington, J., & Wilde, M. M. (2009). Localized closed timelike curves can perfectly distinguish quantum states. Physical Review Letters, 102, 210402.CrossRefGoogle Scholar
  4. Bub, J., & Pitowsky, I. (2010). Many worlds? Everett, quantum theory, and reality. In S. Saunders, J. Barrett, A. Kent, & D. Wallace (Eds.), Two dogmas about quantum mechanics (pp. 433–459). Oxford: Oxford University Press. chap. 14.Google Scholar
  5. Bub, J., & Stairs, A. (2014). Quantum interactions with closed timelike curves and superluminal signaling. Physical Review A, 89(2), 022311. CrossRefGoogle Scholar
  6. Cavalcanti, E. G., & Menicucci, N. C. (2010). Verifiable nonlinear quantum evolution implies failure of density matricies to represent proper mixtures. arXiv:1004.1219v4 [quant-ph].
  7. Cavalcanti, E. G., Menicucci, N. C., & Pienaar, J. L. (2012). The preparation problem in nonlinear extensions of quantum theory. arXiv:1206.2725v1 [quant-ph].
  8. Deutsch, D. (1991). Quantum mechanics near closed timelike lines. Physical Review D, 44(10), 3197–3217.CrossRefGoogle Scholar
  9. Deutsch, D., & Lockwood, M. (1994). The quantum physics of time travel. Scientific American, 270(3), 50–56. CrossRefGoogle Scholar
  10. Dunlap, L. (2016). The metaphysics of D-CTCs: On the underlying assumptions of Deutsch’s quantum solution to the paradoxes of time travel. Studies in the History and Philosophy of Modern Physics, 56, 39–47.CrossRefGoogle Scholar
  11. Earman, J., Smeenk, C., & Wüthrich, C. (2009). Do the laws of physics forbid the operation of time machines? Synthese, 169, 91–124.CrossRefGoogle Scholar
  12. Gisin, N. (1990). Weinberg’s non-linear quantum mechanics and supraluminal communications. Physics Letters A, 143(1.2), 1–2.CrossRefGoogle Scholar
  13. Gisin, N. (2013). Quantum correlations in Newtonian space and time: Arbitrarily fast communication or nonlocality (2012). In D. Struppa & J. Tollaksen (Eds.), Quantum theory: A two time success story (pp. 185–203). Dordrecht, NL: Springer.Google Scholar
  14. Lewis, D. (1976). The paradoxes of time travel. American Philosophical Quarterly, 13(2), 145–152.Google Scholar
  15. Maudlin, T. (2011). Quantum non-locality and relativity (3rd ed.). Chichester: Wiley-Blackwell.CrossRefGoogle Scholar
  16. Norton, J. D. (2013). Einstein for everyone. Nullarbor Press (Online).Google Scholar
  17. Novikov, I. (2002). Can we change the past? In: The future of spacetime (pp. 57–86). New York, NY: Norton.Google Scholar
  18. Pawłowski, M., Paterek, T., Kaszlikowski, D., Scarani, V., Winter, A., & Żukowski, M. (2009). Information causality as a physical principle. Nature, 461(7267), 1101–1104.CrossRefGoogle Scholar
  19. Timpson, C. (2013). Quantum information theory and the foundations of quantum mechanics. Oxford: Oxford University Press.CrossRefGoogle Scholar

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© Springer Science+Business Media B.V., part of Springer Nature 2017

Authors and Affiliations

  1. 1.Rotman Institute of PhilosophyUniversity of Western OntarioLondonCanada

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