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期刊名称: Problems of Information Transmission
Volume:54    Issue:1        Page:20-33
ISSN:0032-9460

On the Energy-Constrained Diamond Norm and Its Application in Quantum Information Theory期刊论文

作者: Shirokov M E
DOI:10.1134/S0032946018010027

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页码: 20-33
被引频次: 11
出版者: Pleiades Publishing,MAIK NAUKA/INTERPERIODICA/SPRINGER,Springer
期刊名称: Problems of Information Transmission
ISSN: 0032-9460
卷期: Volume:54    Issue:1
语言: English
摘要: We consider a family of energy-constrained diamond norms on the set of Hermitian- preserving linear maps (superoperators) between Banach spaces of trace class operators. We prove that any norm from this family generates strong (pointwise) convergence on the set of all quantum channels (which is more adequate for describing variations of infinite-dimensional channels than the diamond norm topology). We obtain continuity bounds for information characteristics (in particular, classical capacities) of energy-constrained infinite-dimensional quantum channels (as functions of a channel) with respect to the energy-constrained diamond norms, which imply uniform continuity of these characteristics with respect to the strong convergence topology.
相关主题: Engineering, Communications Engineering, Networks, Systems Theory, Control, Information Storage and Retrieval, Electrical Engineering, MATHEMATICS, APPLIED, CONTINUITY, CHANNELS, COMPUTER SCIENCE, THEORY & METHODS, CAPACITIES, ENTROPY,

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