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- Title
Improved unitary uncertainty relations.
- Authors
Hu, Xiaoli; Jing, Naihuan
- Abstract
We derive strong variance-based uncertainty relations for arbitrary two and more unitary operators by re-examining the mathematical foundation of the uncertainty relation. This is achieved by strengthening the celebrated Cauchy–Schwarz inequality using a method of brackets and convex functions. The unitary uncertainty relations outperform several strong unitary uncertainty relations, notably better than some recent best lower bounds such as [Phys. Rev. Lett. 120, 230402 (2018)] and [Phys. Rev. A. 100, 022116 (2019)].
- Subjects
UNITARY operators; SCHWARZ inequality; CONVEX functions
- Publication
Quantum Information Processing, 2022, Vol 21, Issue 2, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-021-03396-3