The arrow of time in operational formulations of quantum theory

Andrea Di Biagio1, Pietro Donà2, and Carlo Rovelli2,3,4

1Dipartimento di Fisica, Sapienza Università di Roma, 00185 Roma, Italy
2Aix-Marseille Université, Université de Toulon, CNRS, CPT, 13288 Marseille, France
3Perimeter Institute, 31 Caroline Street North, Waterloo Ontario N2L2Y5, Canada
4The Rotman Institute of Philosophy, 1151 Richmond St. N, London Ontario N6A5B7, Canada

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Abstract

The operational formulations of quantum theory are drastically time oriented. However, to the best of our knowledge, microscopic physics is time-symmetric. We address this tension by showing that the asymmetry of the operational formulations does not reflect a fundamental time-orientation of physics. Instead, it stems from built-in assumptions about the $users$ of the theory. In particular, these formalisms are designed for predicting the future based on information about the past, and the main mathematical objects contain implicit assumption about the past, but not about the future. The main asymmetry in quantum theory is the difference between knowns and unknowns.

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Cited by

[1] Giulio Chiribella, Erik Aurell, and Karol Życzkowski, "Symmetries of quantum evolutions", Physical Review Research 3 3, 033028 (2021).

[2] Lucien Hardy, "Time Symmetry in Operational Theories", arXiv:2104.00071.

[3] Stephen M. Barnett, John Jeffers, and David T. Pegg, "Quantum Retrodiction: Foundations and Controversies", Symmetry 13 4, 586 (2021).

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