Classical communication through quantum causal structures
- URL: http://arxiv.org/abs/2007.05051v1
- Date: Thu, 9 Jul 2020 20:33:17 GMT
- Title: Classical communication through quantum causal structures
- Authors: Kaumudibikash Goswami and Fabio Costa
- Abstract summary: We formulate different classical capacities for a bi-partite quantum process.
A one-way communication protocol through an arbitrary process cannot outperform a causally separable process.
A bi-directional protocol cannot exceed the limit of one way communication protocol.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum mechanics allows operations to be in indefinite causal order.
Recently there have been active discussions on enhanced communication
strategies through exotic causal structures. In light of this, through the
process matrix formalism, we formulate different classical capacities for a
bi-partite quantum process. We find that a one-way communication protocol
through an arbitrary process cannot outperform a causally separable process,
i.e., we can send at most one bit per qubit. Next, we study bi-directional
communication through a causally separable process. Our result shows, a
bi-directional protocol cannot exceed the limit of one way communication
protocol. Finally, we generalise this result to multi-party broadcast
communication protocol through a definite ordered process.
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