Schmidt number criterion via general symmetric informationally complete measurements: Schmidt number criterion via

The Schmidt number characterizes the quantum entanglement of a bipartite mixed state and plays a significant role in certifying entanglement of quantum states. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from the general symmetric informationally c...

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Published in:Quantum information processing 2024-12, Vol.23 (12)
Main Authors: Wang, Zhen, Sun, Bao-Zhi, Fei, Shao-Ming, Wang, Zhi-Xi
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Fei, Shao-Ming
Wang, Zhi-Xi
description The Schmidt number characterizes the quantum entanglement of a bipartite mixed state and plays a significant role in certifying entanglement of quantum states. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from the general symmetric informationally complete measurements. The criterion gives an effective way to quantify the entanglement dimension of a bipartite state with arbitrary local dimensions. We show that this Schmidt number criterion is more effective and superior than other criteria such as fidelity, CCNR (computable cross-norm or realignment), MUB (mutually unbiased bases) and EAM (equiangular measurements) criteria in certifying the Schmidt numbers by detailed examples.
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subjects Data Structures and Information Theory
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Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
title Schmidt number criterion via general symmetric informationally complete measurements: Schmidt number criterion via
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