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• W2949225712 abstract "We consider unitary transformations on a bipartite system A x B. To what extent entails the ability to transmit information from A to B the ability to transfer information in the converse direction? We prove a dimension-dependent lower bound on the classical channel capacity C(A B) for the case that the bipartite unitary operation consists of controlled local unitaries on B conditioned on basis states on A. This can be interpreted as a statement on the strength of the inevitable backaction of a quantum system on its controller. If the local operations are given by the regular representation of a finite group G we have C(A-->B)=log |G| and C(A B)-C(A<--B) between the forward and the backward capacity depends on the non-abelianness of the control group. For regular representations, the ratio between backward and forward capacities cannot be smaller than 1/2. The symmetric group S_n reaches this bound asymptotically. However, for the general case (without group structure) all bounds must depend on the dimensions since it is known that the ratio can tend to zero." @default.
• W2949225712 created "2019-06-27" @default.
• W2949225712 creator A5013941262 @default.
• W2949225712 creator A5042463876 @default.
• W2949225712 date "2007-08-10" @default.
• W2949225712 modified "2023-09-27" @default.
• W2949225712 title "How much is a quantum controller controlled by the controlled system" @default.
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• W2949225712 hasPublicationYear "2007" @default.
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