Transformations on Density Operators That Leave the Holevo Bound Invariant |
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| Authors: | Lajos Molnár Gergö Nagy |
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| Affiliation: | 1. MTA-DE “Lendület” Functional Analysis Research Group, Institute of Mathematics, University of Debrecen, 4010, Debrecen, P.O. Box 12, Hungary
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| Abstract: | For a given probability distribution λ 1,…,λ m we determine the structure of all such maps defined on a dense subset of density operators which leave the Holevo bound invariant i.e. which satisfy $$SBiggl(sum_{k=1}^m lambda_k phi(rho_k)Biggr)- sum_{k=1}^m lambda_k Sbigl(phi (rho_k)bigr)= SBiggl(sum _{k=1}^m lambda_k rho_kBiggr)- sum_{k=1}^m lambda_k S(rho_k) $$ for all possible collections ρ 1,…,ρ m of density operators. |
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