On the Improvement of Frequency Stardards with Quantum Entanglement

Abstract

The optimal precision of frequency measurements in the presence of decoherence is discussed. We analyze different preparations of n two level systems as well as different measurement procedures. We show that standard Ramsey spectroscopy on uncorrelated atoms and optimal measurements on maximally entangled states provide the same resolution. The best resolution is achieved using partially entangled preparations with a high degree of symmetry.

4 pages, 4 figures

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• Quantum sensing of even- versus odd-body interactions
• Many-body quantum metrology with scalar bosons in a single potential well
• Sensing of single nuclear spins in random thermal motion with proximate nitrogen-vacancy centers
• Noncommutative coherence and quantum phase estimation algorithm
• Coherently driven photonic de Broglie Sagnac interferometer
• Atom-light entanglement for precise field sensing in the optical domain
• Cooperation between coherent control and noises in quantum metrology
• Decoherence-enhanced measurements
• Sub shot-noise frequency estimation with bounded a priori knowledge
• Quantum Advantage in Distributed Sensing with Noisy Quantum Networks
• Precision magnetometry exploiting excited state quantum phase transitions
• Topics in Estimation of Quantum Channels
• Spontaneously induced atom-radiation entanglement in an ensemble of two-level atoms
• Entanglement criteria for two strongly interacting ensembles
• Classifying Entanglement by Algebraic Geometry
• A quantum-chaotic cesium-vapor magnetometer
• Squeezed-light enhancement and backaction evasion in a high sensitivity optically pumped magnetometer
• Quantum metrology with a non-linear kicked Mach-Zehnder interferometer
• Coherence as a resource for phase estimation
• Quantum Cramer-Rao Precision Limit of Noisy Continuous Sensing
• Quantum metrology and its application in biology
• Quantum entanglement percolation under a realistic restriction
• Ancilla-assisted frequency estimation under phase covariant noises with Greenberger-Horne-Zeilinger states
• Quantum phase estimation using squeezed quasi-Bell states
• Enhanced Quantum Parameter Estimation via Dynamical Modulation
• Excessive precision compromises accuracy even with unlimited resources due to the trade-off in quantum metrology
• Low-temperature Quantum Metrology Enhanced by Strong Couplings
• Encrypted quantum correlations: Delayed choice of quantum statistics and other applications
• Enhancement of the metrological sensitivity limit through knowledge of the average energy
• Recovering optimal precision in quantum sensing with time domain imperfections
• Sharp transitions in low-number quantum dots Bayesian magnetometry
• Estimating quantum Markov chains using coherent absorber post-processing and pattern counting estimator
• Unlocking Heisenberg Sensitivity with Sequential Weak Measurement Preparation
• Usefulness of Quantum Entanglement for Enhancing Precision in Frequency Estimation
• Sudden change of interferometric power for X shape states
• Phase Transitions in Light-Matter Systems for Quantum Sensing
• Quantum Fisher information from tensor network integration of Lyapunov equation
• Quantum Error Correction Assisted Axion Search in CMOS Spin Qubit Arrays
• Quantum Fisher information matrix for unitary processes: closed relation for $SU(2)$
• Optimal quantum precision in noise estimation: Is entanglement necessary?
• Algebraic metrology: Pretty good states and bounds
• Corrections to the expected signal in quantum metrology using highly anisotropic Bose-Einstein Condensates
• Optimizing lossy state preparation for quantum sensing using Hamiltonian engineering
• Entanglement-Constrained Quantum Metrology: Rapid Low-Entanglement Gains, Tapered High-Level Growth
• Nonlinear-enhanced wideband sensing via subharmonic excitation of a quantum harmonic oscillator
• Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks
• Generation and Manipulation of Entanglement in Quantum Optical Systems
• Multiparameter quantum metrology with postselection measurements
• Scaling laws for the sensitivity enhancement of non-Gaussian spin states
• Dissipative engineering a tripartite Greenberger-Horne-Zeilinger state for neutral atoms
• Non-Markovianity-based ultrasensitive parameter estimation
• Quantum measurement systems and applications to particle physics and cosmology
• Physics-Constrained Compressed Sensing for Quantum Sensing in the Data-Starved Regime
• Sensitivity Bounds of Multiparameter Metrology at Thermal Equilibrium
• Trade-off relation between integrated metrological gain and local dissipation in magnetic-field sensing by quantum spin ensemble
• Dissipative Quantum Metrology
• Creation of higher-energy superposition quantum states motivated by geometric transformations
• The temporal resolution limit in quantum sensing
• Quantum Phase Estimation Algorithm with Gaussian Spin States
• Quantum Parameter Estimation for Detectors in Constantly Accelerated Motion
• Optimal Hamiltonian recognition of unknown quantum dynamics
• Efficient entanglement concentration for arbitrary less-entangled NOON state assisted with single photon
• Stabilizer codes for Heisenberg-limited many-body Hamiltonian estimation
• Characterization and generation of a SQL-beating catlike state through repetitive measurements
• Where are the photons in a transmission-line pulse?
• Gaussian quantum metrology in a dissipative environment
• A quantum ring gyroscope based on coherence de Broglie waves
• Enhanced Parameter Estimation with Periodically Driven Quantum Probe