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Revisiting Dynamics of Quantum Causal Structures -- When Can Causal Order Evolve? by Selby, John H.; Sainz, Ana Belén; Horodecki, Paweł is a scholarly article available to read on EtoBox.

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Recently, there has been substantial interest in studying the dynamics of quantum theory beyond that of states, in particular, the dynamics of channels, measurements, and higher-order transformations. Ref. [Phys. Rev. X 8(1), 011047 (2018)] pursues this using the process-matrix formalism, together with a definition of the possible dynamics of such process matrices, and focusing especially on the question of evolution of causal structures. One of its major conclusions is a strong theorem saying that within the formalism, under continuous and reversible transformations, the causal order between operations must be preserved. Our result here challenges that of Ref. [Phys. Rev. X 8(1), 011047 (2018)]: if one is to take into account a full picture of the physical evolution of operations within the standard quantum-mechanical formalism, then the conclusion of Ref. [Phys. Rev. X 8(1), 011047 (2018)] does not hold. That is, we show that under certain continuous and reversible dynamics, the causal order between operations is not necessarily preserved. We moreover identify and analyse the root of this apparent contradiction, specifically, that the commonly accepted and widely applied framewor

Author

Selby, John H.; Sainz, Ana Belén; Horodecki, Paweł

Published

2020

Language

EN