Quantum metrology in a non-Markovian quantum evolution
arXiv:1912.04675 · doi:10.1103/PhysRevA.102.022618
Abstract
The problem of quantum metrology under the context of a particular non-Markovian quantum evolution is explored. We study the dynamics of the quantum Fisher information (QFI) of a composite quantum probe coupled to a Lorentzian environment, for a full variety of different classes of parameters. We are able to find the best metrological state which is not maximally entangled but is the one which evolves fastest. This is shown by evidencing a connection between QFI and different quantum speed limits. At the same time, by optimizing a control field acting over the probes, we show how the total information flow is actively manipulated by the control such as to enhance the parameter estimation at a given final evolution time. At last, under this controlled scenario, a sharp interplay between the dynamics of QFI, non-Markovianity, and entanglement is revealed within different control schemes.
10 pages, 6 figures
References in corpus (45)
- Quantum sensing
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- On the Improvement of Frequency Stardards with Quantum Entanglement
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- The maximum speed of dynamical evolution
- Squeezing and entanglement in a Bose-Einstein condensate
- Preparation of Entangled States by Quantum Markov Processes
- Quantum Metrology in Non-Markovian Environments
- Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Quantum speed limits in open system dynamics
- Optimal Quantum Phase Estimation
- Protecting entanglement via the quantum Zeno effect
- Environment Induced Entanglement in Markovian Dissipative Dynamics
- High fidelity spin entanglement using optimal control
- Fisher information under decoherence in Bloch representation
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Dynamics of quantum correlations in two-qubit systems within non-Markovian environments
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Quantum metrology in Lipkin-Meshkov-Glick critical systems
- Not all pure entangled states are useful for sub shot-noise interferometry
- Optimal control of complex atomic quantum systems
- Quantum parameter estimation with optimal control
- Exploiting Non-Markovianity of the Environment for Quantum Control
- Precise ultra fast single qubit control using optimal control pulses
- Quantum Speed Limit Bounds in an Open Quantum Evolution
- Quantum probes for the cutoff frequency of Ohmic environments
- Optimal Measurement on Noisy Quantum Systems
- Classical-driving-enhanced parameter-estimation precision of a non-Markovian dissipative two-state system
- Two-qubit quantum probes for the temperature of an Ohmic environment
- Non-Markovian quantum dynamics: What is it good for?
- Implementation of dynamically corrected gates for single-spin qubits
- Optimal quantum states for frequency estimation
- Exploiting Landscape Geometry to Enhance Quantum Optimal Control
- Information backflow as a resource for entanglement
- Entangling protocols due to non-Markovian dynamics
- Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
- Quantifying non-Markovianity: a quantum resource-theoretic approach
- Optimized parameter estimation in the presence of collective phase noise
- Quantum probing topological phase transitions by non-Markovianity
Cited by in corpus (14)
- Quantum metrology for non-Markovian processes
- Action quantum speed limits
- Floquet Engineering to Overcome No-Go Theorem of Noisy Quantum Metrology
- Quantum parameter estimation in a dissipative environment
- Optimally controlled quantum discrimination and estimation
- Quantum metrology in the noisy intermediate-scale quantum era
- Bhatia-Davis formula in the quantum speed limit
- Scattering as a quantum metrology problem: a quantum walk approach
- Non-Markovian skin effect
- Tunable Non-Markovianity for Bosonic Quantum Memristors
- Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution
- The underlying order induced by orthogonality and the quantum speed limit
- Non-Markovianity-based ultrasensitive parameter estimation
- Implementation of multiparticle quantum speed limits on observables