Experimental estimation of one-parameter qubit gates in the presence of phase diffusion
arXiv:0910.1910 · doi:10.1103/PhysRevA.81.012305
Abstract
We address estimation of one-parameter qubit gates in the presence of phase diffusion. We evaluate the ultimate quantum limits to precision, seek for optimal probes and measurements, and demonstrate an optimal estimation scheme for polarization qubits. An adaptive method to achieve optimal estimation in any working regime is also analyzed in details and experimentally implemented.
revised version, to appear on PRA
References in corpus (8)
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- Quantum process tomography of a controlled-NOT gate
- Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
- Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy
- Bayesian estimation of one-parameter qubit gates
- Bayesian estimation in homodyne interferometry
- Identifying a Two-State Hamiltonian in the Presence of Decoherence
Cited by in corpus (62)
- Optical phase estimation in the presence of phase-diffusion
- The ultimate precision limits for noisy frequency estimation
- Tutorial: Optical quantum metrology
- Optical interferometry in the presence of large phase diffusion
- Quantum state estimation with nuisance parameters
- Precision Limits in Quantum Metrology with Open Quantum Systems
- Quantum metrology with boundary time crystals
- Entangling measurements for multiparameter estimation with two qubits
- Quantum sensors based on weak-value amplification cannot overcome decoherence
- Noisy quantum metrology with the assistance of indefinite causal order
- Quantum Metrological Bounds for Vector Parameter
- Quantum interferometry with binary-outcome measurements in the presence of phase diffusion
- Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion
- Maximal quantum Fisher information for general su(2) parametrization processes
- Weak measurements and the joint estimation of phase and phase diffusion
- Mechanical oscillator thermometry in the nonlinear optomechanical regime
- Fisher information of a squeezed-state interferometer with a finite photon-number resolution
- Optimal Generators for Quantum Sensing
- Probing anharmonicity of a quantum oscillator in an optomechanical cavity
- Quantum parameter estimation on coherently superposed noisy channels
- Indefinite causal order for quantum metrology with quantum thermal noise
- Phase estimation for an SU(1,1) interferometer in the presence of phase diffusion and photon losses
- Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies
- Quantum Model Averaging
- Metrology with Unknown Detectors
- Preferences in Quantum Games
- Assessing data postprocessing for quantum estimation
- Benchmarking Machine Learning Algorithms for Adaptive Quantum Phase Estimation with Noisy Intermediate-Scale Quantum Sensors
- Quantum metrology at level anti-crossing
- Quantum-enhanced microscopy with binary-outcome photon counting
- Unravelling the noise: the discrimination of wave function collapse models under time-continuous measurements
- Frequency estimation by frequency jumps
- Precision bounds for noisy nonlinear quantum metrology
- Improving spin-based noise sensing by adaptive measurements
- Squeezing as a resource to counteract phase diffusion in optical phase estimation
- Estimation of general Hamiltonian parameters via controlled energy measurements
- First-principles construction of symmetry-informed quantum metrologies
- Directly Characterizing the Coherence of Quantum Detectors by Sequential Measurement
- Phase noise mitigation by a realistic optical parametric oscillator
- Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
- Diagnosing Imperfections in Quantum Sensors via Generalized Cramér-Rao Bounds
- Continuous-variable phase-estimation with unitary and random linear disturbance
- Multi-parameter estimation of the state of two interfering photonic qubits
- Optimized entanglement for quantum parameter estimation from noisy qubits
- Soft-metric based channel decoding for photon counting receivers
- Quantum-enhanced joint estimation of phase and phase diffusion
- Bayesian quantum phase estimation with fixed photon states
- Generalized phase estimation in noisy quantum gates
- Ancilla-assisted frequency estimation under phase covariant noises with Greenberger-Horne-Zeilinger states
- Protecting an unknown qubit state by weak measurement
- Time-adaptive phase estimation
- Bayesian and frequentist estimators for the transition frequency of a driven two-level quantum system
- Quantum Metrology via Repeated Quantum Nondemolition Measurements in "Photon Box"
- Calculating Nash Equilibrium on Quantum Annealers
- The data aggregation problem in quantum hypothesis testing
- Adaptive, symmetry-informed Bayesian metrology for precise quantum technology measurements
- When Recall Fails, Discord Remembers: A Quantum Analogue of Kuhn's Theorem
- Joint estimation of phase and phase diffusion for quantum metrology
- Enhanced quantum phase estimation with -deformed nonideal nonclassical light
- Knowledge-dependent optimal Gaussian strategies for phase estimation
- Phase Diffusion of Light Immersed In Quantum Tides: Open Quantum System Approach
- Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements