Experimental superposition of a quantum evolution with its time reverse

Teodor Strömberg (Corresponding author), Peter Schiansky, Marco Túlio Quintino, Michael Antesberger, Lee A. Rozema, Iris Agresti, Časlav Brukner, Philip Walther (Corresponding author)

Publications: Contribution to journalArticlePeer Reviewed


In the macroscopic world, time is intrinsically asymmetric, flowing in a specific direction, from past to future. However, the same is not necessarily true for quantum systems, as some quantum processes produce valid quantum evolutions under time reversal. Supposing that such processes can be probed in both time directions, we can also consider quantum processes probed in a coherent superposition of forward and backward time directions. This yields a broader class of quantum processes than the ones considered so far in the literature, including those with indefinite causal order. In this work, we demonstrate an operation belonging to this class: the quantum time flip. Using a photonic realisation of this operation, we apply it to a game formulated as a discrimination task between two sets of operators. This game not only serves as a witness of an indefinite time direction, but also allows for a computational advantage over strategies using a fixed time direction, and even those with an indefinite causal order.
Original languageEnglish
Article number023071
Number of pages12
JournalPhysical Review Research
Issue number2
Publication statusPublished - Apr 2024

Austrian Fields of Science 2012

  • 102040 Quantum computing

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