Dissipative Quantum Metrology

Abstract

Conventional strategies of quantum metrology are built upon POVMs, thereby possessing several general features, including the demolition of the state to be measured, the need of performing a number of measurements, and the degradation of performance under decoherence and dissipation. Here, we propose an innovative measurement scheme, called dissipative adiabatic measurements (DAMs), based on which, we further develop an approach to estimation of parameters characterizing dissipative processes. Unlike a POVM, whose outcome is one of the eigenvalues of an observable, a DAM yields the expectation value of the observable as its outcome, without collapsing the state to be measured. By virtue of the very nature of DAMs, our approach is capable of solving the estimation problem in a state-protective fashion with only $M$ measurements, where $M$ is the number of parameters to be estimated. More importantly, contrary to the common wisdom, it embraces decoherence and dissipation as beneficial effects and offers a Heisenberg-like scaling of precision, thus outperforming conventional strategies. Our DAM-based approach is direct, efficient, and expected to be immensely useful in the context of dissipative quantum information processing.

arXiv comment5+ pages of main text, plus 6 pages of supplementary material

References in corpus (26)

• Advances in Quantum Metrology
• Quantum-enhanced measurements: beating the standard quantum limit
• Quantum metrology
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• On the Improvement of Frequency Stardards with Quantum Entanglement
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• A Rydberg Quantum Simulator
• The elusive Heisenberg limit in quantum enhanced metrology
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Optimal Quantum Phase Estimation
• Dissipative preparation of entanglement in optical cavities
• Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
• Optimal quantum estimation of loss in bosonic channels
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Preparation of entangled and antiferromagnetic states by dissipative Rydberg pumping
• Dark Entangled Steady States of Interacting Rydberg Atoms
• Stabilizing entanglement via symmetry-selective bath engineering in superconducting qubits
• Scalable Dissipative Preparation of Many-Body Entanglement
• Coherent quantum dynamics in steady-state manifolds of strongly dissipative systems
• Entanglement distillation by dissipation and continuous quantum repeaters
• Optical pumping into many-body entanglement
• Dissipative optomechanical preparation of macroscopic quantum superposition states
• Precisely timing dissipative quantum information processing
• Detection-Enhanced Steady State Entanglement with Ions
• Dissipative remote-state preparation in an interacting medium