The arrow of time in operational formulations of quantum theory

Andrea Di Biagio; Pietro Donà; Carlo Rovelli

doi:10.22331/q-2021-08-09-520

The arrow of time in operational formulations of quantum theory

Andrea Di Biagio¹, Pietro Donà², and Carlo Rovelli^2,3,4

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

Published:	2021-08-09, volume 5, page 520
Eprint:	arXiv:2010.05734v2
Doi:	https://doi.org/10.22331/q-2021-08-09-520
Citation:	Quantum 5, 520 (2021).

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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.

Featured image: When prediction probabilities are different from the postdiction probabilities, this can be understood in terms of an asymmetry of the amount of information present in the two tasks.

► BibTeX data

@article{DiBiagio2021arrowoftimein,
  doi = {10.22331/q-2021-08-09-520},
  url = {https://doi.org/10.22331/q-2021-08-09-520},
  title = {The arrow of time in operational formulations of quantum theory},
  author = {Di Biagio, Andrea and Don{\`{a}}, Pietro and Rovelli, Carlo},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {5},
  pages = {520},
  month = aug,
  year = {2021}
}

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