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arXiv · 2204.08821

Conditions for local transformations between sets of quantum states

Somshubhro Bandyopadhyay·Saronath Halder·Ritabrata Sengupta
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Abstract

We study the problem of transforming a set of pure bipartite states into another using deterministic LOCC (local operations and classical communication). Necessary conditions for the existence of such a transformation are obtained using LOCC constraints on state transformation, entanglement, and distinguishability. These conditions are shown to be independent but not sufficient. We discuss their satisfiability and classify all possible input-output pairs of sets accordingly. We also prove that strict inclusions hold between LOCC, separable, and positive partial transpose operations for set transformation problems.

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Somshubhro Bandyopadhyay, Saronath Halder, Ritabrata Sengupta. 2022-04-19. Conditions for local transformations between sets of quantum states. https://doi.org/10.1103/physreva.105.062212

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