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Entanglement-assisted quantum communication beating the quantum Singleton bound

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Grassl,  Markus
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Grassl, M. (2021). Entanglement-assisted quantum communication beating the quantum Singleton bound. Physical Review A, 103(2): L020601. doi:10.1103/PhysRevA.103.L020601.


Cite as: https://hdl.handle.net/21.11116/0000-0008-128B-7
Abstract
Brun, Devetak, and Hsieh [Science 314, 436 (2006)] demonstrated that preshared entanglement between the sender and receiver enables quantum communication protocols that have better parameters than schemes without the assistance of entanglement. Subsequently, the same authors derived a version of the so-called quantum Singleton bound that relates the parameters of the entanglement-assisted quantum-error-correcting codes proposed by them. We present an entanglement-assisted quantum communication scheme with parameters violating this bound in certain ranges. For a fixed transmission rate, our scheme allows one to correct a larger fraction of errors.