Quantum Probes for Ohmic Environments at Thermal Equilibrium

Abstract

It is often the case that the environment of a quantum system may be described as a bath of oscillators with Ohmic density of states. In turn, the precise characterization of these classes of environments is a crucial tool to engineer decoherence or to tailor quantum information protocols. Recently, the use of quantum probes in characterizing Ohmic environments at zero-temperature has been discussed, showing that a single qubit provides precise estimation of the cutoff frequency. On the other hand, thermal noise often spoil quantum probing schemes, and for this reason we here extend the analysis to complex system at thermal equilibrium. In particular, we discuss the interplay between thermal fluctuations and time evolution in determining the precision {attainable by} quantum probes. Our results show that the presence of thermal fluctuations degrades the precision for low values of the cutoff frequency, i.e. values of the order ${\omega }_c\lesssim T$ (in natural units). For larger values of ${\omega }_c$ decoherence is mostly due to the structure of environment, rather than thermal fluctuations, such that quantum probing by a single qubit is still an effective estimation procedure.

Entropy, special issue on Open Quantum Systems (OQS) for quantum technologies (S. Lorenzo and M. G. Palma, Eds)

References in corpus (39)

• Concepts and methods in the theory of open quantum systems
• Quantum limits in optical interferometry
• Individual quantum probes for optimal thermometry
• Experimental quantum-enhanced estimation of a lossy phase shift
• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Quantum parameter estimation using general single-mode Gaussian states
• Quantum parameter estimation using general single-mode Gaussian states
• Optical phase estimation in the presence of phase-diffusion
• Optimal quantum estimation of loss in bosonic channels
• Noise and decoherence in quantum two-level systems
• Optimal phase measurements with pure Gaussian states
• Qubit thermometry for micromechanical resonators
• Detection of quantum critical points by a probe qubit
• Quantum probes for the spectral properties of a classical environment
• Quantum probes for the cutoff frequency of Ohmic environments
• Characterization of classical Gaussian processes using quantum probes
• Dicke coupling by feasible local measurements at the superradiant quantum phase transition
• Experimental estimation of entanglement at the quantum limit
• Homodyne estimation of Gaussian quantum discord
• Continuous-variable quantum probes for structured environments
• Maximizing information on the environment by dynamically controlled qubit probes
• Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
• Ancillary qubit spectroscopy of cavity (circuit) QED vacua
• Phase estimation via quantum interferometry for noisy detectors
• Characterization of qubit chains by Feynman probes
• Environment-dependent dissipation in quantum Brownian motion
• Measuring correlations of cold atom systems using multiple quantum probes
• Experimental estimation of quantum discord for polarization qubit and the use of fidelity to assess quantum correlations
• Nondestructive Probing of Means, Variances, and Correlations of Ultracold-Atomic-System Densities via Qubit Impurities
• Tunneling spectroscopy using a probe qubit
• Efficient estimation of resonant coupling between quantum systems
• Optimal estimation of entanglement in optical qubit systems
• Real-time phase-reference monitoring of a quasi-optimal coherent-state receiver
• Driven harmonic oscillator as a quantum simulator for open systems
• Momentum-Resolved and Correlations Spectroscopy Using Quantum Probes
• Probing the diamagnetic term in light-matter interaction
• Probing molecular spin clusters by local measurements
• Quantum metrology out of equilibrium
• Metrological advantage at finite temperature for Gaussian phase estimation

Cited by in corpus (12)

• Two-qubit quantum probes for the temperature of an Ohmic environment
• Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators
• Continuous-variable entanglement dynamics in Lorentzian environment
• Quantum sensing of temperature close to absolute zero in a Bose-Einstein condensate
• Noisy propagation of Gaussian states in optical media with finite bandwidth
• Improving the estimation of environment parameters via initial probe-environment correlations
• Non-Orthogonal Bases for Quantum Metrology
• Threshold for a discrete-variable sensor of quantum reservoirs
• Remote sensing and faithful quantum teleportation through non-localized qubits
• Scattering as a quantum metrology problem: a quantum walk approach
• Quantum bath statistics tagging
• Quantum metrology of a structured reservoir