Quantum Measurement Encoding for Quantum Metrology
arXiv:2401.15622 · doi:10.1103/PhysRevResearch.6.043084
Abstract
Preserving the precision of the parameter of interest in the presence of environmental decoherence is an important yet challenging task in dissipative quantum sensing. In this work, we study quantum metrology when the decoherence effect is unraveled by a set of quantum measurements,dubbed quantum measurement encoding. In our case, the estimation parameter is encoded into a quantum state through a quantum measurement, unlike the parameter encoding through a unitary channel in the decoherence-free case or trace-preserving quantum channels in the case of decoherence. We identify conditions for a precision-preserving measurement encoding. These conditions can be employed to transfer metrological information from one subsystem to another through quantum measurements. Furthermore, postselected non-Hermitian sensing can also be viewed as quantum sensing with measurement encoding. When the precision-preserving conditions are violated in non-Hermitian sensing, we derive a universal formula for the loss of precision.
Revised manuscript with a changed title. 6+9 pages, 3 figures. Comments welcome!
References in corpus (51)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Quantum sensing
- Advances in Quantum Metrology
- Quantum metrology
- Non-Hermitian Physics
- Quantum metrology with nonclassical states of atomic ensembles
- Localization transitions in non-Hermitian quantum mechanics
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum Fisher information matrix and multiparameter estimation
- Colloquium: Understanding Quantum Weak Values: Basics and Applications
- Quantum Metrology in Non-Markovian Environments
- Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
- Quantum enhanced measurements without entanglement
- Generalized Limits for Single-Parameter Quantum Estimation
- Quantum state tomography across the exceptional point in a single dissipative qubit
- Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
- Using entanglement against noise in quantum metrology
- Technical advantages for weak value amplification: When less is more
- Quantum Noise Theory of Exceptional Point Sensors
- Quantum collision models: open system dynamics from repeated interactions
- No exceptional precision of exceptional point sensors
- A Geometric Perspective on Quantum Parameter Estimation
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics
- Optimal adaptive control for quantum metrology with time-dependent Hamiltonians
- The ultimate precision limits for noisy frequency estimation
- Exponentially Enhanced Quantum Metrology
- Quantum Metrological Limits via a Variational Approach
- Adaptive quantum metrology under general Markovian noise
- Quantum Advantage in Postselected Metrology
- Quantum parameter estimation with optimal control
- Universal time scaling for Hamiltonian parameter estimation
- Nonlinear quantum metrology of many-body open systems
- Collision models can efficiently simulate any multipartite Markovian quantum dynamics
- Quantum limits on post-selected, probabilistic quantum metrology
- Quantum sensing with a single-qubit pseudo-Hermitian system
- Negative quasiprobabilities enhance phase estimation in quantum-optics experiment
- Quantum metrology for non-Markovian processes
- Fundamental Sensitivity Limits for non-Hermitian Quantum Sensors
- Precision Limits in Quantum Metrology with Open Quantum Systems
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Quantum Metrology: Extended Convexity of Quantum Fisher Information
- Variational principle for optimal quantum controls in quantum metrology
- Floquet Engineering to Overcome No-Go Theorem of Noisy Quantum Metrology
- Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
- Quantum parameter estimation with the Landau-Zener transition
- Memory effects in quantum metrology
- Saturating the quantum Cramér-Rao bound using LOCC
- Universal shot-noise limit for quantum metrology with local Hamiltonians
- Theory of Compression Channels for Postselected Quantum Metrology