Wigner-Yanase skew information-based uncertainty relations for quantum channels

• URL: http://arxiv.org/abs/2306.06602v1
• Date: Sun, 11 Jun 2023 06:39:30 GMT
• Title: Wigner-Yanase skew information-based uncertainty relations for quantum channels
• Authors: Qing-Hua Zhang and Shao-ming Fei
• Abstract summary: Wigner-Yanase skew information stands for the uncertainty about the information on the values of observables not commuting with the conserved quantity. We present tight uncertainty relations in both product and summation forms for two quantum channels based on the Wigner-Yanase skew information.
• Score: 2.1320960069210484
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Wigner-Yanase skew information stands for the uncertainty about the information on the values of observables not commuting with the conserved quantity. The Wigner-Yanase skew information-based uncertainty relations can be regarded as a complementarity to the conceptual Heisenberg uncertainty principle. We present tight uncertainty relations in both product and summation forms for two quantum channels based on the Wigner-Yanase skew information. We show that our uncertainty inequalities are tighter than the existing ones.

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