Universal bounds for quantum metrology in the presence of correlated noise
arXiv:2410.01881 · doi:10.1103/jy3v-wkcb
Abstract
We derive fundamental bounds for general quantum metrological models involving both temporal or spatial correlations (mathematically described by quantum combs), which may be effectively computed in the limit of a large number of probes or sensing channels involved. Although the bounds are not guaranteed to be tight in general, their tightness may be systematically increased by increasing numerical complexity of the procedure. Interestingly, this approach yields bounds tighter than the state of the art also for uncorrelated channels. We apply the bound to study the limits for the most general adaptive phase estimation models in the presence of temporally correlated dephasing. We consider dephasing both parallel (no Heisenberg scaling) and perpendicular (Heisenberg scaling possible) to the signal. In the former case our new bounds show that negative correlations are beneficial, for the latter we show evidence that the bounds are tight. We also apply the bounds to collisional thermometry, i.e. estimation of a parameter of the environment, showing evidence that entangled probes may provide only a limited advantage.
New version involves new example: collisional thermometry model
References in corpus (32)
- Quantum Circuits Architecture
- Using entanglement against noise in quantum metrology
- Quantum collision models: open system dynamics from repeated interactions
- Quantum stochastic processes and quantum non-Markovian phenomena
- Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
- Two-qubit spectroscopy of spatiotemporally correlated quantum noise in superconducting qubits
- Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Quantum metrology for non-Markovian processes
- Asymptotic theory of quantum channel estimation
- Optimal Strategies of Quantum Metrology with a Strict Hierarchy
- Using adaptiveness and causal superpositions against noise in quantum metrology
- Fisher information and asymptotic normality in system identification for quantum Markov chains
- Bath-Induced Correlations Enhance Thermometry Precision at Low Temperatures
- Quantum probing beyond pure dephasing
- Optimal approximate quantum error correction for quantum metrology
- Surpassing the Thermal Cramer-Rao Bound with Collisional Thermometry
- Learning correlated noise in a 39-qubit quantum processor
- Quantum metrology in the noisy intermediate-scale quantum era
- Adaptive measurement filter: efficient strategy for optimal estimation of quantum Markov chains
- Stochastic collisional quantum thermometry
- Fully-Optimized Quantum Metrology: Framework, Tools, and Applications
- Quantum metrology using quantum combs and tensor network formalism
- Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
- Frequency estimation under non-Markovian spatially correlated quantum noise: Restoring superclassical precision scaling
- Generalized quantum process discrimination problems
- Simple upper and lower bounds on the ultimate success probability for discriminating arbitrary finite-dimensional quantum processes
- Unifying methods for optimal control in non-Markovian quantum systems via process tensors
- Quantum Network Discrimination
- Optical fibres with memory effects and their quantum communication capacities
- Process tensor distinguishability measures
- Efficient tensor networks for control-enhanced quantum metrology