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arXiv · 2101.10694

Analytical Bounds for Dynamic Multi-Channel Discrimination

Cillian Harney·Stefano Pirandola
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Abstract

The ability to precisely discriminate multiple quantum channels is fundamental to achieving quantum enhancements in data-readout, target detection, pattern recognition, and more. Optimal discrimination protocols often rely on entanglement shared between an incident probe and a protected idler-mode. While these protocols can be highly advantageous over classical ones, the storage of idler-modes is extremely challenging in practice. In this work, we investigate idler-free block protocols based on the use of multipartite entangled probe states. In particular, we focus on a class of idler-free protocol which uses non-disjoint distributions of multipartite probe states irradiated over multi-channels, known as dynamic discrimination protocols. We derive new, analytical bounds for the average error probability of such protocols in a bosonic Gaussian channel setting, revealing idler-free strategies that display performance close to idler-assistance for powerful, near-term quantum sensing applications.

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Cillian Harney, Stefano Pirandola. 2021-01-26. Analytical Bounds for Dynamic Multi-Channel Discrimination. https://doi.org/10.1103/physreva.104.032402

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