Purifying teleportation

Katarzyna Roszak1 and Jarosław K. Korbicz2

1Institute of Physics (FZU), Czech Academy of Sciences, Na Slovance 2, 182 00 Prague, Czech Republic
2Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland

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Coupling to the environment typically suppresses quantum properties of physical systems via decoherence mechanisms. This is one of the main obstacles in practical implementations of quantum protocols. In this work we show how decoherence effects can be reversed/suppressed during quantum teleportation in a network scenario. Treating the environment quantumly, we show that under a general pure dephasing coupling, performing a second teleportation step can probabilistically reverse the decoherence effects if certain commutativity conditions hold. This effect is purely quantum and most pronounced for qubit systems, where in 25 % of instances the decoherence can be reversed completely. As an example, we show the effect in a physical model of a qubit register coupled to a bosonic bath. We also analyze general $d$-dimensional systems, identifying all instances of decoherence suppression. Our results are proof-of-concept but we believe will be relevant for the emerging field of quantum networks as teleportation is the key building block of network protocols.

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Cited by

[1] Małgorzata Strzałka, Radim Filip, and Katarzyna Roszak, "Qubit-environment entanglement in time-dependent pure dephasing", Physical Review A 109 3, 032412 (2024).

[2] Tymoteusz Salamon, Marcin Płodzień, Maciej Lewenstein, and Katarzyna Roszak, "Qubit-environment entanglement outside of pure decoherence: Hyperfine interaction", Physical Review B 107 8, 085428 (2023).

[3] Mateusz Krawczyk, Jarosław Pawłowski, Maciej M. Maśka, and Katarzyna Roszak, "Data-driven criteria for quantum correlations", Physical Review A 109 2, 022405 (2024).

[4] Bartosz Rzepkowski and Katarzyna Roszak, "Signature of quantumness in pure decoherence control", Physical Review A 108 1, 012412 (2023).

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