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A no-broadcasting theorem for modal quantum theory

2023/04/26 by P. J. Diamond, Diamond, Phillip, Benjamin Schumacher +3
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Computability, Logic, AI Algorithms #Quantum Computing Algorithms and Architecture

paper · pdf · doi:10.48550/arxiv.2304.13561

Abstract

The quantum no-broadcasting theorem has an analogue in modal quantum theory (MQT), a toy model based on finite fields. The failure of broadcasting in MQT is related to the failure of distributivity of the lattice of subspaces of the state space.

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