Optical phase estimation in the presence of phase-diffusion

Abstract

The measurement problem for the optical phase has been traditionally attacked for noiseless schemes or in the presence of amplitude or detection noise. Here we address estimation of phase in the presence of phase diffusion and evaluate the ultimate quantum limits to precision for phase-shifted Gaussian states. We look for the optimal detection scheme and derive approximate scaling laws for the quantum Fisher information and the optimal squeezing fraction in terms of the overall total energy and the amount of noise. We also found that homodyne detection is a nearly optimal detection scheme in the limit of very small and large noise.

revised version, 4 pages, 4 figure

References in corpus (9)

• Beating the Standard Quantum Limit with Four Entangled Photons
• Entanglement-free Heisenberg-limited phase estimation
• Optimal Quantum Phase Estimation
• Scaling laws for precision in quantum interferometry and bifurcation landscape of optimal state
• Optimal phase measurements with pure Gaussian states
• Bayesian estimation in homodyne interferometry
• Experimental demonstration of phase measurement precision beating standard quantum limit by projection measurement
• Quantum-limited metrology in the presence of collisional dephasing
• Optimal Gaussian squeezed states for atom-interferometry in the presence of phase diffusion

Cited by in corpus (127)

• Quantum sensing
• Quantum metrology with nonclassical states of atomic ensembles
• The elusive Heisenberg limit in quantum enhanced metrology
• Quantum limits in optical interferometry
• Quantum Fisher information of entangled coherent state in the presence of photon losses: exact solution
• Quantum interferometry with and without an external phase reference
• The ultimate precision limits for noisy frequency estimation
• Quantum metrology for a general Hamiltonian parameter
• Phase matching condition for enhancement of phase sensitivity in quantum metrology
• Optimal estimation of joint parameters in phase space
• Quantum Metrological Limits via a Variational Approach
• Adaptive quantum metrology under general Markovian noise
• Ziv-Zakai Error Bounds for Quantum Parameter Estimation
• Quantum Fisher information as signature of superradiant quantum phase transition
• Qubit thermometry for micromechanical resonators
• Enhancing teleportation of quantum Fisher information by partial measurements
• Characterizing nonclassical correlations via local quantum Fisher information
• Bayesian quantum frequency estimation in presence of collective dephasing
• Quantum metrology with unitary parametrization processes
• Robust quantum metrological schemes based on protection of quantum Fisher information
• Nonlinear quantum interferometry with Bose condensed atoms
• Optical interferometry in the presence of large phase diffusion
• Quantum probes for the spectral properties of a classical environment
• Quantum probes for the cutoff frequency of Ohmic environments
• Classical-driving-enhanced parameter-estimation precision of a non-Markovian dissipative two-state system
• Quantum estimation of the Schwarzschild space-time parameters of the Earth
• Characterization of classical Gaussian processes using quantum probes
• A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg $XY$ model
• Continuous-variable quantum probes for structured environments
• Nearly Optimal Measurement Scheme in a Noisy Mach-Zehnder Interferometer with Coherent and Squeezed Vacuum
• Precision Limits in Quantum Metrology with Open Quantum Systems
• Quantum multiparameter metrology with generalized entangled coherent state
• Multiparameter quantum estimation of noisy phase shifts
• Entangling measurements for multiparameter estimation with two qubits
• Quantum Fisher information and symmetric logarithmic derivative via anti-commutators
• Learning feedback control strategies for quantum metrology
• Quantum Metrological Bounds for Vector Parameter
• Homodyne detection as a near-optimum receiver for phase-shift keyed binary communication in the presence of phase diffusion
• Optimized communication strategies with binary coherent states over phase noise channels
• Characterization of qubit chains by Feynman probes
• Broadcasting Quantum Fisher Information
• Parameter estimation using NOON states over a relativistic quantum channel
• Quantum interferometry with binary-outcome measurements in the presence of phase diffusion
• On the optimal feedback control of linear quantum systems in the presence of thermal noise
• Effects of Phase Fluctuations on Phase Sensitivity and Visibility of Path-Entangled Photon Fock States
• Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion
• Weak measurements and the joint estimation of phase and phase diffusion
• Mechanical oscillator thermometry in the nonlinear optomechanical regime
• Quantum phase communication channels assisted by non-deterministic noiseless amplifiers
• Bayesian parameter estimation using Gaussian states and measurements
• Fisher information of a squeezed-state interferometer with a finite photon-number resolution
• Quantum Probes for Ohmic Environments at Thermal Equilibrium
• Electromagnetic shielding in quantum metrology
• Optimal Generators for Quantum Sensing
• Squeezing-enhanced phase-shift-keyed binary communication in noisy channels
• Real-time phase-reference monitoring of a quasi-optimal coherent-state receiver
• Phase estimation for an SU(1,1) interferometer in the presence of phase diffusion and photon losses
• Entangled and sequential quantum protocols with dephasing
• Universal quantum magnetometry with spin states at equilibrium
• Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies
• Improving the estimation of environment parameters via initial probe-environment correlations
• Metrology with Unknown Detectors
• Quantum Wheatstone Bridge
• Non-Orthogonal Bases for Quantum Metrology
• Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
• Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states
• Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control
• Cubic nonlinear squeezing and its decoherence
• Quantum parameter estimation of non-Hermitian systems with optimal measurements
• Preferences in Quantum Games
• Optimal Conventional Measurements for Quantum-Enhanced Interferometry
• Quantum metrology at level anti-crossing
• Optical estimation of unitary Gaussian processes without phase reference using Fock states
• Noise limits on two-photon interferometric sensing
• Frequency estimation by frequency jumps
• Experimental ancilla-assisted phase-estimation in a noisy channel
• Precision bounds for noisy nonlinear quantum metrology
• Squeezing phase diffusion
• Squeezing as a resource to counteract phase diffusion in optical phase estimation
• Exact quantum sensing limits for bosonic dephasing channels
• Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario
• Estimation of general Hamiltonian parameters via controlled energy measurements
• Thermal quantum metrology in memoryless and correlated environments
• Single-shot non-Gaussian Measurements for Optical Phase Estimation
• Estimation of Phase and Diffusion: Combining Quantum Statistics and Classical Noise
• Discrete-to-continuous transition in quantum phase estimation
• Converting coherence based on positive-operator-valued measures into entanglement
• Optimal quantum estimation of the coupling constant of Jaynes-Cummings interaction
• Monitoring variations of refractive index via Hilbert-Schmidt speed and applying this phenomenon to improve quantum metrology
• Determination of the asymptotic limits of adaptive photon counting measurements for coherent-state optical phase estimation
• Phase noise mitigation by a realistic optical parametric oscillator
• Evaluating the quantum Ziv-Zakai bound in noisy environments
• Optimizing quantum-enhanced Bayesian multiparameter estimation of phase and noise in practical sensors
• Efficacy of virtual purification-based error mitigation on quantum metrology
• Bracket states for communication protocols with coherent states
• Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
• A robust hybrid receiver for binary phase-shift keying discrimination in the presence of phase noise
• Quantum asymmetry and noisy multi-mode interferometry
• Continuous-variable phase-estimation with unitary and random linear disturbance
• Multiparameter estimation with two qubit probes in noisy channels
• Quantum-enhanced joint estimation of phase and phase diffusion
• Variational Limits for Phase Precision in Linear Quantum Optical Metrology
• Soft-metric based channel decoding for photon counting receivers
• Squeezing below the ground state of motion of a continuously monitored levitating nanoparticle
• Quantum communications in continuous variable systems
• Even- and odd-orthogonality properties of the Wigner D-matrix and their metrological applications
• Protecting an unknown qubit state by weak measurement
• Bayesian and frequentist estimators for the transition frequency of a driven two-level quantum system
• Globally optimal interferometry with lossy twin Fock probes
• Joint estimation of noise and nonlinearity in Kerr systems
• Cascaded Multiparameter Quantum Metrology
• The Lindley paradox in optical interferometry
• Joint estimation of phase and phase diffusion for quantum metrology
• Interferometric binary phase estimations
• Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements
• Quantum Metrology under Coarse-Grained Measurement
• Phase Diffusion of Light Immersed In Quantum Tides: Open Quantum System Approach
• Optimal noisy quantum phase estimation with finite-dimensional states
• High-precision estimation of the parameters in the reservoir via the two-level system
• Kramers-Kronig relations and precision limits in quantum phase estimation
• Channel-noise tracking for sub-shot-noise-limited receivers with neural networks
• Quantum enhanced optical phase estimation with a squeezed thermal state
• Optimal finite-dimensional probe states for quantum phase estimation
• Knowledge-dependent optimal Gaussian strategies for phase estimation
• Optimal Hamiltonian recognition of unknown quantum dynamics
• Quantum information with conserved quantities
• Multiparameter quantum metrology with postselection measurements