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Rate Loss in Quantum Channels with Classical State and Applications for Quantum Broadcast Channels

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arXiv:2606.07409v1 Announce Type: new Abstract: We consider the problem of \textit{rate loss} - a strict penalty suffered in achievable rates due to the lack of channel state information at the receiver (Rx) of a classical-quantum (CQ) channel. First, we identify non-commutative CQ channels and analytically prove a rate loss. Building on this, we next prove that coset-code-based strategies can strictly outperform conventional unstructured IID-code-based strategies for non-commutative 3-user...

arXiv:2606.07409v1 Announce Type: new Abstract: We consider the problem of \textit{rate loss} - a strict penalty suffered in achievable rates due to the lack of channel state information at the receiver (Rx) of a classical-quantum (CQ) channel. First, we identify non-commutative CQ channels and analytically prove a rate loss. Building on this, we next prove that coset-code-based strategies can strictly outperform conventional unstructured IID-code-based strategies for non-commutative 3-user CQ broadcast channels.
Quantum Channels with Classical State (ORG) Quantum Broadcast Channels (ORG) CQ (ORG) IID (ORG)
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