Parameterized Multi-observable Sum Uncertainty Relations
- URL: http://arxiv.org/abs/2211.03301v2
- Date: Wed, 29 Mar 2023 12:14:17 GMT
- Title: Parameterized Multi-observable Sum Uncertainty Relations
- Authors: Jing-Feng Wu, Qing-Hua Zhang, Shao-Ming Fei
- Abstract summary: We study uncertainty relations based on variance for arbitrary finite $N$ quantum observables.
The lower bounds of our uncertainty inequalities are non-zero unless the measured state is a common eigenvector of all the observables.
- Score: 9.571723611319348
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The uncertainty principle is one of the fundamental features of quantum
mechanics and plays an essential role in quantum information theory. We study
uncertainty relations based on variance for arbitrary finite $N$ quantum
observables. We establish a series of parameterized uncertainty relations in
terms of the parameterized norm inequalities, which improve the exiting
variance-based uncertainty relations. The lower bounds of our uncertainty
inequalities are non-zero unless the measured state is a common eigenvector of
all the observables. Detailed examples are provided to illustrate the tightness
of our uncertainty relations.
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