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arXiv · 1807.00784

Conditional channel simulation

Stefano Pirandola·Riccardo Laurenza·Leonardo Banchi
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Abstract

In this work we design a specific simulation tool for quantum channels which is based on the use of a control system. This allows us to simulate an average quantum channel which is expressed in terms of an ensemble of channels, even when these channel-components are not jointly teleportation-covariant. This design is also extended to asymptotic simulations, continuous ensembles, and memory channels. As an application, we derive relative-entropy-of-entanglement upper bounds for private communication over various channels, including non-Gaussian mixtures of bosonic lossy channels. Among other results, we also establish the two-way quantum and private capacity of the so-called `dephrasure' channel.

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Stefano Pirandola, Riccardo Laurenza, Leonardo Banchi. 2018-12-18. Conditional channel simulation. https://doi.org/10.1016/j.aop.2018.11.014

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