Exploring the limits of no backwards in time signalling

Yelena Guryanova1, Ralph Silva2,3, Anthony J. Short4, Paul Skrzypczyk4, Nicolas Brunner2, and Sandu Popescu4

1Institute for Quantum Optics and Quantum Information (IQOQI), Boltzmanngasse 3, Vienna 1090, Austria
2Group of Applied Physics, University of Geneva, Chemin de Pinchat 22, CH-1211, Geneva 4, Switzerland
3Institute for Theoretical Physics, ETH Zürich, Wolfgang-Pauli-Str. 27, Zürich, Switzerland
4H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom

Find this paper interesting or want to discuss? Scite or leave a comment on SciRate.


We present an operational and model-independent framework to investigate the concept of no-backwards-in-time signalling. We define no-backwards-in-time signalling conditions, closely related to the spatial no-signalling conditions. These allow for theoretical possibilities in which the future affects the past, nevertheless without signalling backwards in time. This is analogous to non-local but no-signalling spatial correlations. Furthermore, our results shed new light on situations with indefinite causal structure and their connection to quantum theory.

► BibTeX data

► References

[1] J. S. Bell. On the einstein podolsky rosen paradox. Physics Physique Fizika, 1: 195–200, Nov 1964. 10.1103/​PhysicsPhysiqueFizika.1.195.

[2] Sandu Popescu and Daniel Rohrlich. Quantum nonlocality as an axiom. Foundations of Physics, 24 (3): 379–385, Mar 1994. ISSN 1572-9516. 10.1007/​BF02058098.

[3] Nicolas Brunner, Daniel Cavalcanti, Stefano Pironio, Valerio Scarani, and Stephanie Wehner. Bell nonlocality. Rev. Mod. Phys., 86: 419–478, Apr 2014. 10.1103/​RevModPhys.86.419.

[4] S. Popescu. Nonlocality beyond quantum mechanics. Nature Physics, 10: 264–270, 2014. 10.1038/​nphys2916.

[5] Jonathan Barrett. Information processing in generalized probabilistic theories. Physical Review A, 75 (3): 032304, March 2007. 10.1103/​PhysRevA.75.032304.

[6] Antonio Acín, Nicolas Brunner, Nicolas Gisin, Serge Massar, Stefano Pironio, and Valerio Scarani. Device-Independent Security of Quantum Cryptography against Collective Attacks. Physical Review Letters, 98 (23): 230501, June 2007. 10.1103/​PhysRevLett.98.230501.

[7] Yakir Aharonov, Jeeva Anandan, Sandu Popescu, and Lev Vaidman. Superpositions of time evolutions of a quantum system and a quantum time-translation machine. Phys. Rev. Lett., 64: 2965–2968, Jun 1990. 10.1103/​PhysRevLett.64.2965.

[8] Giulio Chiribella, Giacomo Mauro D'Ariano, Paolo Perinotti, and Benoit Valiron. Quantum computations without definite causal structure. Phys. Rev. A, 88: 022318, Aug 2013. 10.1103/​PhysRevA.88.022318.

[9] Lucien Hardy. Towards quantum gravity: a framework for probabilistic theories with non-fixed causal structure. Journal of Physics A: Mathematical and Theoretical, 40 (12): 3081–3099, mar 2007. 10.1088/​1751-8113/​40/​12/​s12.

[10] Ognyan Oreshkov, Fabio Costa, and Caslav Brukner. Quantum correlations with no causal order. Nat Commun, 3: 1092, Oct 2012. 10.1038/​ncomms2076.

[11] M. S. Leifer and Robert W. Spekkens. Towards a formulation of quantum theory as a causally neutral theory of bayesian inference. Phys. Rev. A, 88: 052130, Nov 2013. 10.1103/​PhysRevA.88.052130.

[12] A. Baumeler and S. Wolf. Perfect signaling among three parties violating predefined causal order. In 2014 IEEE Int. Symp. Info. Theory, pages 526–530, June 2014. 10.1109/​ISIT.2014.6874888.

[13] John-Mark A. Allen, Jonathan Barrett, Dominic C. Horsman, Ciarán M. Lee, and Robert W. Spekkens. Quantum common causes and quantum causal models. Phys. Rev. X, 7: 031021, Jul 2017. 10.1103/​PhysRevX.7.031021.

[14] Giacomo Mauro DAriano, Giulio Chiribella, and Paolo Perinotti. Quantum Theory from First Principles. Cambridge University Press, 2016. 10.1017/​9781107338340.

[15] Paolo Perinotti. Causal structures and the classification of higher order quantum computations. pages 103–127, 2017. 10.1007/​978-3-319-68655-4_7.

[16] Cyril Branciard, Mateus Araújo, Adrien Feix, Fabio Costa, and Časlav Brukner. The simplest causal inequalities and their violation. New J. Phys., 18 (1): 013008, 2016. 10.1088/​1367-2630/​18/​1/​013008.

[17] Mateus Araújo, Cyril Branciard, Fabio Costa, Adrien Feix, Christina Giarmatzi, and Časlav Brukner. Witnessing causal nonseparability. New J. Phys., 17 (10): 102001, 2015. 10.1088/​1367-2630/​17/​10/​102001.

[18] Ognyan Oreshkov and Christina Giarmatzi. Causal and causally separable processes. New Journal of Physics, 18 (9): 093020, sep 2016. 10.1088/​1367-2630/​18/​9/​093020.

[19] Alastair A. Abbott, Christina Giarmatzi, Fabio Costa, and Cyril Branciard. Multipartite causal correlations: Polytopes and inequalities. Phys. Rev. A, 94: 032131, Sep 2016. 10.1103/​PhysRevA.94.032131.

[20] Ämin Baumeler and Stefan Wolf. Device-independent test of causal order and relations to fixed-points. New Journal of Physics, 18 (3): 035014, apr 2016. 10.1088/​1367-2630/​18/​3/​035014.

[21] Yakir Aharonov, Peter G. Bergmann, and Joel L. Lebowitz. Time symmetry in the quantum process of measurement. Phys. Rev., 134: B1410–B1416, Jun 1964. 10.1103/​PhysRev.134.B1410.

[22] Y Aharonov and L Vaidman. Complete description of a quantum system at a given time. Journal of Physics A: Mathematical and General, 24 (10): 2315–2328, may 1991. 10.1088/​0305-4470/​24/​10/​018.

[23] Yakir Aharonov and Eyal Y. Gruss. Two-time interpretation of quantum mechanics. jul 2005. URL http:/​/​arxiv.org/​abs/​quant-ph/​0507269.

[24] Yakir Aharonov, Sandu Popescu, Jeff Tollaksen, and Lev Vaidman. Multiple-time states and multiple-time measurements in quantum mechanics. Phys. Rev. A, 79: 052110, May 2009. 10.1103/​PhysRevA.79.052110.

[25] Ralph Silva, Yelena Guryanova, Nicolas Brunner, Noah Linden, Anthony J. Short, and Sandu Popescu. Pre- and postselected quantum states: Density matrices, tomography, and kraus operators. Phys. Rev. A, 89: 012121, Jan 2014. 10.1103/​PhysRevA.89.012121.

[26] Ralph Silva, Yelena Guryanova, Anthony J. Short, Paul Skrzypczyk, Nicolas Brunner, and Sandu Popescu. Connecting processes with indefinite causal order and multi-time quantum states. New J. Phys., 19 (10): 103022, 2017. ISSN 1367-2630. 10.1088/​1367-2630/​aa84fe.

[27] Giulio Chiribella, Giacomo Mauro D'Ariano, and Paolo Perinotti. Probabilistic theories with purification. Phys. Rev. A, 81: 062348, Jun 2010. 10.1103/​PhysRevA.81.062348.

[28] Mafalda L. Almeida, Jean-Daniel Bancal, Nicolas Brunner, Antonio Acín, Nicolas Gisin, and Stefano Pironio. Guess your neighbor's input: A multipartite nonlocal game with no quantum advantage. Phys. Rev. Lett., 104: 230404, Jun 2010. 10.1103/​PhysRevLett.104.230404.

[29] Y Aharonov, 1990. personal communication.

[30] Y Aharonov and D Rohrlich. Quantum Paradoxes: Quantum Theory for the Perplexed. Wiley VCH, 2005. 10.1002/​9783527619115.

[31] S. W. Hawking, T. Hertog, and H. S. Reall. Brane new world. Phys. Rev. D, 62: 043501, Jun 2000. 10.1103/​PhysRevD.62.043501.

[32] M. Gell-Mann and J. Hartle. Complexity, Entropy and the physics of information, SFI Studies in the Sciences of Complexity, volume VIII. Wesley, 1990. 10.1201/​9780429502880.

[33] Gary T Horowitz and Juan Maldacena. The black hole final state. Journal of High Energy Physics, 2004 (02): 008–008, feb 2004. 10.1088/​1126-6708/​2004/​02/​008.

[34] Ognyan Oreshkov and Nicolas J Cerf. Operational quantum theory without predefined time. New J. Phys., 18 (7): 073037, 2016. 10.1088/​1367-2630/​18/​7/​073037.

[35] Veronika Baumann and Časlav Brukner. Appearance of causality in process matrices when performing fixed-basis measurements for two parties. Phys. Rev. A, 93: 062324, Jun 2016. 10.1103/​PhysRevA.93.062324.

[36] Tom Purves and Anthony J. Short. Nonclassically causal correlations without backwards-in-time signaling. Physical Review A, 99 (2): 022101, February 2019. 10.1103/​PhysRevA.99.022101.

[37] C Brukner, 2014. talk given at 554. WE-Heraeus-Seminar conference Quantum Contextuality, Non-Locality, and the Foundations of Quantum Mechanics.

Cited by

[1] Avishy Carmi, Eliahu Cohen, Lorenzo Maccone, and Hrvoje Nikolić, "Knowledge of Quantum Hidden Variables Enables Backwards-In-Time Signaling", Applied Sciences 11 10, 4477 (2021).

[2] Giacomo Mauro D'Ariano, Marco Erba, and Paolo Perinotti, "Classicality without local discriminability: Decoupling entanglement and complementarity", Physical Review A 102 5, 052216 (2020).

[3] Aurélien Drezet, "Indefinite causal order with fixed temporal order for electrons and positrons", Quantum Studies: Mathematics and Foundations 10 1, 101 (2023).

[4] Giuseppe Vitagliano and Costantino Budroni, "Leggett-Garg macrorealism and temporal correlations", Physical Review A 107 4, 040101 (2023).

[5] Avishy Carmi, Eliahu Cohen, Lorenzo Maccone, and Hrvoje Nikolic, "Knowledge of Quantum Hidden Variables Enables Backwards-In-Time Signaling", arXiv:1903.01349, (2019).

[6] Tom Purves and Anthony J. Short, "Nonclassically causal correlations without backwards-in-time signaling", Physical Review A 99 2, 022101 (2019).

[7] Tom Purves and Anthony J. Short, "Tripartite non-classical correlations without backwards in time signalling", arXiv:1809.06620, (2018).

[8] Aurélien Drezet, "Indefinite causal order with fixed temporal order for electrons and positrons", arXiv:2202.12886, (2022).

The above citations are from Crossref's cited-by service (last updated successfully 2024-06-22 04:20:12) and SAO/NASA ADS (last updated successfully 2024-06-22 04:20:12). The list may be incomplete as not all publishers provide suitable and complete citation data.