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Entanglement Theory Quantum Correlations Quantum Device Fabrication Process Engineering Quantum Simulation Bosonic Continuous Variable Quantum Computing

Choi matrices revisited. III

arXiv

Authors: Kyung Hoon Han, Seung-Hyeok Kye

Year

2024

Paper ID

38020

Status

Preprint

Abstract Read

~2 min

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Abstract

We look for all linear isomorphisms from the mapping spaces onto the tensor products of matrices which send k-superpositive maps onto unnormalized bi-partite states of Schmidt numbers less than or equal to k. They also send k-positive maps onto k-block-positive matrices. We also look for all the bilinear pairings between the mapping spaces and tensor products of matrices which retain the usual duality between k-positivity and Schmidt numbers le k. They also retain the duality between k-superpositivity and k-block-positivity.

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We look for all linear isomorphisms from the mapping spaces onto the tensor products of matrices which send k-superpositive maps onto unnormalized bi-partite states of Schmidt...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.13120 [2] arXiv https://arxiv.org/abs/2410.13120 [3] Publisher https://arxiv.org/abs/2410.13120

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