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Quantum Information Processing

Stronger variance-based unitary uncertainty relations

  • 01-07-2024
Published in:
Authors
Xu Zheng
Qiong Guo
Published in
Quantum Information Processing | Issue 7/2024

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Abstract

The article delves into the significance of uncertainty relations in quantum theory, highlighting their applications in entanglement detection, quantum cryptography, and quantum non-locality. It traces the evolution of uncertainty principles from Heisenberg's initial formulation to modern variance-based uncertainty relations. The paper introduces a new, stronger variance-based uncertainty relation for arbitrary unitary operators, using power-mean inequalities to construct tighter lower bounds. Additionally, it builds descending sequences of lower bounds for two or three unitary operators, showcasing the practical implications and technological advancements these findings could bring, particularly in quantum metrology.
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previous article Tighter monogamy relations of the and -entropy entanglement measures based on dual entropy
next article Quantum and LCD codes from skew constacyclic codes over a general class of non-chain rings
Title
Stronger variance-based unitary uncertainty relations
Authors
Xu Zheng
Qiong Guo
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/s11128-024-04488-6
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