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Abstract
This paper presents a comprehensive exploration of semi-definite programming (SDP) techniques within the context of quantum information. It examines the mathematical foundations of convex optimization, duality, and SDP formulations, providing a solid theoretical framework for addressing optimization challenges in quantum systems. By leveraging these tools, researchers and practitioners can characterize classical and quantum correlations, optimize quantum states, and design efficient quantum algorithms and protocols. The paper also discusses implementational aspects, such as solvers for SDP and modeling tools, enabling the effective employment of optimization techniques in quantum information processing. The insights and methodologies presented in this paper have proven instrumental in advancing the field of quantum information, facilitating the development of novel communication protocols, self-testing methods, and a deeper understanding of quantum entanglement.
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Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1751-8121/ad2b85
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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Journal of Physics A-Mathematical and Theoretical
no. 57,
ISSN: 1751-8113 - Language:
- English
- Publication year:
- 2024
- Bibliographic description:
- Mironowicz P.: Semi-definite programming and quantum information// Journal of Physics A-Mathematical and Theoretical -,iss. 16 (2024), s.163002-
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1751-8121/ad2b85
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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