Quantum metrology of a structured reservoir
arXiv:2503.16261 · doi:10.1103/ypp6-5bt9
Abstract
Accurately characterizing the properties of structured reservoirs is a key challenge in quantum systems and is of great importance for advances in quantum metrology and sensing. In this work, we employ a two-level system (qubit) as a probe, which is coupled to a structured reservoir consisting of an ancilla qubit and a Markovian environment modeled as a thermal bath. By exploiting non-Markovian dynamics, we systematically investigate the effectiveness of different interaction types between the probe and ancilla for estimating critical parameters, including temperature, ancilla frequency, and system-bath coupling strength. We quantify the precision of parameter estimation using quantum Fisher information (QFI) and analyze the system dynamics in both transient and steady-state regimes. Our findings demonstrate that non-Markovianity substantially enhances parameter estimation in the transient regime, with specific interactions facilitating sustained information backflow and yielding higher QFI values. However, the performance of these interactions is contingent on the parameter under estimation and the operational regime. For instance, certain interactions become prominent in the transient regime but exhibit diminished utility in the steady state, whereas others maintain their effectiveness even at equilibrium. These results stress the importance of judiciously selecting interactions adapted to specific estimation objectives and operational regimes.
15 pages, 9 figures
References in corpus (71)
- Quantum sensing
- Advances in Quantum Metrology
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Circuit Quantum Electrodynamics
- Quantum metrology with nonclassical states of atomic ensembles
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- Open Quantum Systems. An Introduction
- Quantum metrology from a quantum information science perspective
- Quantum technologies with hybrid systems
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Quantum Fisher information matrix and multiparameter estimation
- Quantum Metrology in Non-Markovian Environments
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Quantum noise limited and entanglement-assisted magnetometry
- Quantum Metrology for Gravitational Wave Astronomy
- A Quantum-Enhanced Prototype Gravitational-Wave Detector
- Individual quantum probes for optimal thermometry
- Fisher information under decoherence in Bloch representation
- Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states
- Gravitational Radiation Detection with Laser Interferometry
- Colloquium: Physics of optical lattice clocks
- A Geometric Perspective on Quantum Parameter Estimation
- General optimality of the Heisenberg limit for quantum metrology
- Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
- Optimal Quantum Clocks
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Thermometry in the quantum regime: Recent theoretical progress
- Switchable ultrastrong coupling in circuit QED
- Thermodynamics of precision in quantum non equilibrium steady states
- Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
- Measuring protein concentration with entangled photons
- 0.75 atoms improve the clock signal of 10,000 atoms
- Quantum Limits of Thermometry
- Single-qubit thermometry
- In situ thermometry of a cold Fermi gas via dephasing impurities
- Using polarons for sub-nK quantum non-demolition thermometry in a Bose-Einstein condensate
- Qubit thermometry for micromechanical resonators
- Low-temperature thermometry can be enhanced by strong coupling
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Single-atom quantum probes for ultracold gases using nonequilibrium spin dynamics
- Fundamental limits on low-temperature quantum thermometry with finite resolution
- Thermometry and cooling of a Bose-Einstein condensate to 0.02 times the critical temperature
- Precision Measurements of Temperature and Chemical Potential of Quantum Gases
- Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
- Continuous-variable quantum probes for structured environments
- Subdiffraction-limited quantum imaging within a living cell
- Estimating Temperature via Sequential Measurements
- Two-qubit quantum probes for the temperature of an Ohmic environment
- Heisenberg-limited noisy atomic clock using a hybrid coherent and squeezed states protocol
- Enhanced precision bound of low-temperature quantum thermometry via dynamical control
- Prospects and challenges for squeezing-enhanced optical atomic clocks
- Quantum Optical Two-Atom Thermal Diode
- Complex quantum networks as structured environments: engineering and probing
- Employing Non-Markovian effects to improve the performance of a quantum Otto refrigerator
- Global and local thermometry schemes in coupled quantum systems
- Tight bound on finite-resolution quantum thermometry at low temperatures
- Bath-Induced Correlations Enhance Thermometry Precision at Low Temperatures
- Incomplete measurement of work in a dissipative two level system
- Low-temperature quantum thermometry boosted by coherence generation
- Approaching Heisenberg-scalable thermometry with built-in robustness against noise
- Speed of qubit states during thermalisation
- Thermodynamic fingerprints of non-Markovianity in a system of coupled superconducting qubits
- Bath-induced collective phenomena on superconducting qubits: synchronization, subradiance, and entanglement generation
- Quantum Probes for Ohmic Environments at Thermal Equilibrium
- Primary thermometry of propagating microwaves in the quantum regime
- Criticality-Based Quantum Metrology in the Presence of Decoherence
- Invasiveness of non-equilibrium quantum thermometry
- Security against jamming and noise exclusion in imaging
- Achieving Heisenberg scaling by probe-ancilla interaction in quantum metrology