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Quantum Information Processing

Low-rank approximation to entangled multipartite quantum systems

  • 01-04-2022
Published in:
Authors
Matthew M. Lin
Moody T. Chu
Published in
Quantum Information Processing | Issue 4/2022

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Abstract

The article explores the intricate phenomenon of entanglement in quantum systems, particularly focusing on the numerical measurement of the distance between mixed states and their nearest separable states. It introduces basic notions of entanglement and separability, and discusses the challenges and approaches to quantifying entanglement. The paper presents a low-rank approximation problem for general multipartite systems and introduces a gradient flow approach to tackle this problem. It also discusses the use of the Wirtinger calculus for deriving gradients and presents numerical experiments demonstrating the effectiveness of the proposed methods. The article is a valuable resource for specialists in quantum computing and related fields, offering insights into the practical challenges and solutions in entanglement quantification.
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next article Quantum key distribution using universal hash functions over finite fields
Title
Low-rank approximation to entangled multipartite quantum systems
Authors
Matthew M. Lin
Moody T. Chu
Publication date
01-04-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 4/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03467-z
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