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Quantum Information Processing

The summation and product forms of the uncertainty relations based on metric-adjusted skew information

  • 01-07-2024
Published in:
Authors
Cong Xu
Qing-Hua Zhang
Shao-Ming Fei
Published in
Quantum Information Processing | Issue 7/2024

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Abstract

The article delves into the intricacies of uncertainty relations in quantum mechanics, focusing on the summation and product forms based on metric-adjusted skew information. It traces the evolution of uncertainty principles from Heisenberg's original formulation to more generalized forms involving entropy and skew information. The paper introduces the concept of metric-adjusted skew information, which encompasses Wigner–Yanase and Dyson skew information, and demonstrates its superiority in detecting quantum entanglement. The authors establish tighter summation and product forms of uncertainty relations, illustrated through detailed examples, showcasing the improved bounds compared to previous studies. The work concludes by highlighting the potential of metric-adjusted skew information in quantifying non-classical correlations and its applications in quantum information processing.
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Title
The summation and product forms of the uncertainty relations based on metric-adjusted skew information
Authors
Cong Xu
Qing-Hua Zhang
Shao-Ming Fei
Publication date
01-07-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04440-8
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