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Multiplicativity of superoperator norms for some entanglement breaking\n channels

2013/10/22 by Christopher King, King, Christopher
Computer Science · Neuroscience · #Cellular Automata and Applications #Computability, Logic, AI Algorithms #FOS: Physical sciences #Neural dynamics and brain function #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1310.5990

openalex publication_date 2013/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is known that the minimal output entropy is additive for any product of\nentanglement breaking (EB) channels. The same is true for the Renyi entropy,\nwhere additivity is equivalent to multiplicativity of the 1 \→ q\nnorm for all q \≥ 1. In this paper we consider the related question of\nmultiplicativity of the 2 \→ q norm for entanglement breaking\nchannels. We prove that multiplicativity holds in this case for certain classes\nof EB channels, including both the CQ and QC channels.\n

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