Quantum communication using a quantum switch of quantum switches

Abstract

The quantum switch describes a quantum operation in which two or more quantum channels act on a quantum system with the order of application determined by the state of an order quantum system. And by suitably choosing the state of the order system, one can create a quantum superposition of the different orders of application, which can perform communication tasks impossible within the framework of the standard quantum Shannon theory. In this paper, we consider the scenario of one-shot heralded qubit communication and ask whether there exist protocols using a given quantum switch or switches that could outperform the given ones. We answer this question in the affirmative. We define a higher-order quantum switch composed of two quantum switches, with their order of application controlled by another order quantum system. We then show that the quantum switches placed in a quantum superposition of their alternative orders can transmit a qubit, without any error, with a probability higher than that achievable with the quantum switches individually. We demonstrate this communication advantage over quantum switches useful as a resource and those that are useless. We also show that there are situations where there is no communication advantage over the individual quantum switches.

arXiv comment19 pages, 3 figures;v2:revised title and abstract, improved presentation and clarity, added brief discussions on even higher-order quantum switches and experiments, added references; v3: minor changes and improvements, published version

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Cited by in corpus (3)

• Experimentally demonstrating indefinite causal order algorithms to solve the generalized Deutsch's problem
• Quantum superposition of causal structures as a universal resource for local implementation of nonlocal quantum operations
• Correlations in a quantum switch-based heat engine with measurements: A proof-of-principle demonstration