NDLI: Relative entropy and single qubit Holevo-Schumacher-Westmoreland channel capacity. quant-ph/0207128 (2002)

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Relative entropy and single qubit Holevo-Schumacher-Westmoreland channel capacity. quant-ph/0207128 (2002)

Content Provider	CiteSeerX
Author	Cortese, John
Description	Of Fields Institute Monographs. American Mathematical Society The relative entropy description of Holevo-Schumacher-Westmoreland (HSW) classical channel capacities is applied to single qubit quantum channels. A simple formula for the relative entropy of qubit density matrices in the Bloch sphere representation is derived. The formula is combined with the King-Ruskai-Szarek-Werner qubit channel ellipsoid picture to analyze several unital and non-unital qubit channels in detail. An alternate proof is presented that the optimal HSW signalling states for single qubit unital channels are those states with minimal channel output entropy. The derivation is based on symmetries of the relative entropy formula, and the King-Ruskai-Szarek-Werner qubit channel ellipsoid picture. A proof is given that the average output density matrix of any set of optimal HSW signalling states for a ( qubit or non-qubit) quantum
File Format	PDF
Language	English
Publisher Date	2002-01-01
Access Restriction	Open
Subject Keyword	Single Qubit Unital Channel Qubit Density Matrix Minimal Channel Output Single Qubit Quantum Channel Bloch Sphere Representation Non-unital Qubit Channel Simple Formula Optimal Hsw Classical Channel Capacity Relative Entropy Formula Single Qubit Holevo-schumacher-westmoreland Channel Capacity Alternate Proof Average Output Density Matrix Relative Entropy King-ruskai-szarek-werner Qubit Channel Ellipsoid Picture Relative Entropy Description
Content Type	Text
Resource Type	Article

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