Quantum information with conserved quantities

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.

arXiv comment12 pages, 5 figures

References in corpus (21)

• Cavity Optomechanics
• Quantum Metrology in Non-Markovian Environments
• Quantum metrology with entangled coherent states
• Preparation of Nonclassical States in Cavities with a Moving Mirror
• Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
• Generalized Limits for Single-Parameter Quantum Estimation
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• Optical phase estimation in the presence of phase-diffusion
• Quantum Fisher information of entangled coherent state in the presence of photon losses: exact solution
• Quantum interferometry with and without an external phase reference
• Quantum metrology for a general Hamiltonian parameter
• Quantum Fisher information for states in exponential form
• Extremal properties of the variance and the quantum Fisher information
• Phase matching condition for enhancement of phase sensitivity in quantum metrology
• The parity operator in quantum optical metrology
• Coherent control of spin squeezing
• Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks
• Analysis of Entanglement Measures and LOCC Maximized Quantum Fisher Information of General Two Qubit Systems
• Collectively enhanced quantum measurements at the Heisenberg limit
• Broadcasting Quantum Fisher Information
• Optimally squeezed spin states