Quantum information with conserved quantities

2015/06/02 by Jing Liu, Liu, Jing, Jing Cheng +6
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1506.00797

12 pages, 5 figures

arxiv created 2015/06/02 · openalex publication_date 2015/06/02 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Conserved quantities are crucial in quantum physics. Here we discuss a general scenario of Hamiltonians. All the Hamiltonians within this scenario share a common conserved quantity form. For unitary parametrization processes, the characteristic operator of this scenario is analytically provided, as well as the corresponding quantum Fisher information (QFI). As the application of this scenario, we focus on two classes of Hamiltonians: su(2) category and canonical category. Several specific physical systems in these two categories are discussed in detail. Besides, we also calculate an alternative form of QFI in this scenario.

Citations

• Heisenberg-limited sensitivity with decoherence-enhanced measurements
• Squeezed spin states
• Mach-Zehnder Interferometry at the Heisenberg Limit with Coherent and Squeezed-Vacuum Light
• Cavity Optomechanics

Related

• Quantum Fisher Information and its dynamical nature
• Transition From Quantum To Classical Mechanics As Information Localization
• Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
• A principle of information conservation for physical laws (Hidden information in quantum systems?)
• Dynamics of quantum Fisher information in the two-qubit systems constructed from the Yang-Baxter matrices