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Open Quantum Systems Decoherence

Causal influence versus signalling for interacting quantum channels

arXiv
Authors: Kathleen Barsse, Paolo Perinotti, Alessandro Tosini, Leonardo Vaglini

Year

2023

Paper ID

54847

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

A causal relation between quantum agents, say Alice and Bob, is necessarily mediated by an interaction. Modelling the last one as a reversible quantum channel, an intervention of Alice can have causal influence on Bob's system, modifying correlations between Alice and Bob's systems. Causal influence between quantum systems necessarily allows for signalling. Here we prove a mismatch between causal influence and signalling via direct computation of the two quantities for the Cnot gate. Finally we show a continuity theorem for causal effects of unitary channels: a channel has small causal influence iff it allows for small signalling.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • A causal relation between quantum agents, say Alice and Bob, is necessarily mediated by an interaction.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2309.07771 [2] arXiv https://arxiv.org/abs/2309.07771 [3] Publisher https://arxiv.org/abs/2309.07771

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