Causal influence versus signalling for interacting quantum channels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912297944875008 |
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| author | Barsse, Kathleen Perinotti, Paolo Tosini, Alessandro Vaglini, Leonardo |
| author_facet | Barsse, Kathleen Perinotti, Paolo Tosini, Alessandro Vaglini, Leonardo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07771 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Causal influence versus signalling for interacting quantum channels Barsse, Kathleen Perinotti, Paolo Tosini, Alessandro Vaglini, Leonardo Quantum Physics 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. |
| title | Causal influence versus signalling for interacting quantum channels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2309.07771 |