2020
DOI: 10.48550/arxiv.2001.00836
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Communication over Quantum Channels with Parameter Estimation

Abstract: Communication over a random-parameter quantum channel when the decoder is required to reconstruct the parameter sequence is considered. We study scenarios that include either strictly-causal, causal, or non-causal channel side information (CSI) available at the encoder, and also when CSI is not available. This model is the quantum counterpart of the classical rate-and-state channel with state estimation at the decoder. Regularized formulas for the capacity-distortion regions are derived. In the special case of… Show more

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Cited by 4 publications
(10 citation statements)
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“…In other words, the parameter S i chooses whether the ith input system is projected onto |ψ . This channel has also been considered in the dual model of parameter estimation (see [34,Example 4]).…”
Section: Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…In other words, the parameter S i chooses whether the ith input system is projected onto |ψ . This channel has also been considered in the dual model of parameter estimation (see [34,Example 4]).…”
Section: Resultsmentioning
confidence: 99%
“…where the supremum is over the conditional distributions p X|S and the collections of input states ϕ x A , such that given S = s, we have the state [33,34]). The classical capacity of a random-parameter quantum channel (N SA→B , S ∼ q(s)), with CSI at the encoder and without a masking requirement, is given by…”
Section: Related Workmentioning
confidence: 99%
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“…Standard method-of-types concepts are defined as in [53,54]. We briefly introduce the notation and basic properties while the detailed definitions can be found in [54, Appendix A].…”
Section: Information Theoretic Toolsmentioning
confidence: 99%
“…To bound the alphabet size of the random variables U , X 1 , and X 2 , we use the Fenchel-Eggleston-Carathéodory lemma [58] and similar arguments as in [23,54]. Let…”
Section: Appendix B Proof Of Lemma 3 (Cardinality Bounds)mentioning
confidence: 99%