Fundamental Limit on the Power of Entanglement Assistance in Quantum Communication

• URL: http://arxiv.org/abs/2408.17290v3
• Date: Sat, 25 Jan 2025 12:33:57 GMT
• Title: Fundamental Limit on the Power of Entanglement Assistance in Quantum Communication
• Authors: Lasse H. Wolff, Paula Belzig, Matthias Christandl, Bergfinnur Durhuus, Marco Tomamichel,
• Abstract summary: The optimal rate of reliable communication over a quantum channel can be enhanced by pre-shared entanglement. A long-standing conjecture asserts that the ratio between the entanglement-assisted and unassisted classical capacities is bounded in finite-dimensional settings. An application to quantum communication with noisy encoders and decoders is given.
• Score: 7.366868731714772
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• Abstract: The optimal rate of reliable communication over a quantum channel can be enhanced by pre-shared entanglement. Whereas the enhancement may be unbounded in infinite-dimensional settings even when the input power is constrained, a long-standing conjecture asserts that the ratio between the entanglement-assisted and unassisted classical capacities is bounded in finite-dimensional settings [Bennett et al., IEEE Trans. Inf. Theory 48, 2637 (2002)]. In this work, we prove this conjecture by showing that their ratio is upper bounded by $o(d^2)$, where $d$ is the input dimension of the channel. An application to quantum communication with noisy encoders and decoders is given.

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