Symmetry in Metrology: Universal Reduction of Quantum Multi-Parameter Incompatibility
Year: 2020
Type: preprint
Abstract: Incompatibility among different physical quantities poses a broad limit on quantum information processing. In multi-parameter quantum estimation, the ultimate precision limit known as quantum Cramer-Rao bound becomes unattainable due to the incompatibility. This paper introduces a prescription to redesign given incompatible quantum statistical models to attain their quantum Cramer-Rao bounds. The prescription leads to a theoretical technique to find compatible models with an aid of anti-unitary symmetries. Our findings also offer a physical interpretation of mean Uhlmann curvature which characterizes quantumness of phase transitions.
Source: arXiv (Cornell University)
Author: Jisho Miyazaki
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3097449092