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

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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.

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Cited by

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

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

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

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

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