Quantum metrology for non-Markovian processes
arXiv:2103.02619 · doi:10.1103/PhysRevLett.127.060501
Abstract
Quantum metrology is a rapidly developing branch of quantum technologies. While various theories have been established on quantum metrology for Markovian processes, i.e., quantum channel estimation, quantum metrology for non-Markovian processes is much less explored. In this Letter, we establish a general framework of non-Markovian quantum metrology. For any parametrized non-Markovian process on a finite-dimensional system, we derive a formula for the maximal amount of quantum Fisher information that can be extracted from it by an optimally controlled probe state. In addition, we design an algorithm that evaluates this quantum Fisher information via semidefinite programming. We apply our framework to noisy frequency estimation, where we find that the optimal performance of quantum metrology is better in the non-Markovian scenario than in the Markovian scenario and explore the possibility of efficient sensing via simple variational circuits.
arXiv comment5 pages, 6 figures + appendix; published version
References in corpus (42)
- Quantum Computing in the NISQ era and beyond
- On the Improvement of Frequency Stardards with Quantum Entanglement
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum Metrology in Non-Markovian Environments
- Theoretical framework for quantum networks
- Quantum Circuits Architecture
- Transforming quantum operations: quantum supermaps
- Improved quantum metrology using quantum error-correction
- Compatibility in Multiparameter Quantum Metrology
- Quantum Error Correction for Metrology
- State estimation for large ensembles
- Multi-parameter Quantum Metrology
- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- A Geometric Perspective on Quantum Parameter Estimation
- Magnet field sensing beyond the standard quantum limit under the effect of decoherence
- Multi-parameter estimation beyond Quantum Fisher Information
- The ultimate precision limits for noisy frequency estimation
- Collision-model-based approach to non-Markovian quantum dynamics
- Efficient tools for quantum metrology with uncorrelated noise
- Sensitivity Bounds for Multiparameter Quantum Metrology
- Memory effects in quantum channel discrimination
- Adaptive quantum metrology under general Markovian noise
- Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
- Collision model for non-Markovian quantum dynamics
- Attaining the ultimate precision limit in quantum state estimation
- Scalable Semidefinite Programming
- Quantum state estimation with nuisance parameters
- Machine Learning Phase Transitions with a Quantum Processor
- Non-Markovian dynamics of a qubit coupled to an Ising spin bath
- Asymptotic theory of quantum channel estimation
- Quantum Markov Order
- Optimal quantum networks and one-shot entropies
- Continuous quantum error correction for non-Markovian decoherence
- On a measure of distance for quantum strategies
- Quantum parameter estimation in a dissipative environment
- Quantum metrology in a non-Markovian quantum evolution
- Memory effects in quantum metrology
- Quantum metrology in local dissipative environments
- Optimal networks for Quantum Metrology: semidefinite programs and product rules
- Success-or-Draw: A Strategy Allowing Repeat-Until-Success in Quantum Computation
- Hedging bets with correlated quantum strategies
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- Quantum collision models: open system dynamics from repeated interactions
- Entanglement-Enhanced Quantum Metrology in Colored Noise by Quantum Zeno Effect
- Optimal Scheme for Quantum Metrology
- Probe incompatibility in multiparameter noisy quantum metrology
- Optimal Strategies of Quantum Metrology with a Strict Hierarchy
- Using adaptiveness and causal superpositions against noise in quantum metrology
- Floquet Engineering to Overcome No-Go Theorem of Noisy Quantum Metrology
- Quantum metrology in the noisy intermediate-scale quantum era
- Optimal protocols for quantum metrology with noisy measurements
- Designing optimal protocols in Bayesian quantum parameter estimation with higher-order operations
- Device-Independent Quantum Secure Direct Communication Under Non-Markovian Quantum Channels
- Quantum Uncertainty Principles for Measurements with Interventions
- Fully-Optimized Quantum Metrology: Framework, Tools, and Applications
- Reassessing the advantage of indefinite causal orders for quantum metrology
- Strict hierarchy of optimal strategies for global estimations: Linking global estimations with local ones
- Continuous-variable quantum sensing of a dissipative reservoir
- Limits of noisy quantum metrology with restricted quantum controls
- Assessing non-Markovian dynamics through moments of the Choi state
- Finding the optimal probe state for multiparameter quantum metrology using conic programming
- Stochastic metrology and the empirical distribution
- Optimizing one-axis twists for variational Bayesian quantum metrology
- Quantum Error Corrected Non-Markovian Metrology
- Universal bounds for quantum metrology in the presence of correlated noise
- Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
- Machine-learning-inspired quantum control in many-body dynamics
- Quantum Cramer-Rao Precision Limit of Noisy Continuous Sensing
- Indefinite causal order strategy does not improve the estimation of group action
- Heisenberg-Limited Quantum Metrology without Ancillae
- Efficient tensor networks for control-enhanced quantum metrology
- Quantum Measurement Encoding for Quantum Metrology
- Quantum Fisher information from tensor network integration of Lyapunov equation
- Quantum Fisher Information in Curved Spacetime: Dirac Particles in Noisy Channels around a Schwarzschild Black Hole
- Optimal quantum metrology under energy constraints
- Recovering optimal precision in quantum sensing with time domain imperfections
- QMetro++ -- Python optimization package for large scale quantum metrology with customized strategy structures
- Temperature and non-Markovian parameter estimation in quantum Brownian motion
- Non-Markovianity-based ultrasensitive parameter estimation