Time-adaptive phase estimation
arXiv:2405.08930 · doi:10.1103/PhysRevResearch.7.023070
Abstract
Phase estimation is known to be a robust method for single-qubit gate calibration in quantum computers, while Bayesian estimation is widely used in devising optimal methods for learning in quantum systems. We present Bayesian phase estimation methods that adaptively choose a control phase and the time of coherent evolution based on prior phase knowledge. In the presence of noise, we find near-optimal performance with respect to known theoretical bounds, and demonstrate some robustness of the estimates to noise that is not accounted for in the model of the estimator, making the methods suitable for calibrating operations in quantum computers. We determine the utility of control parameter values using functions of the prior probability of the phase that quantify expected knowledge gain either in terms of expected narrowing of the posterior or expected information gain. In particular, we find that by maximising the rate of expected gain we obtain phase estimates having standard deviation a factor of 1.43 larger than the Heisenberg limit using a classical sequential strategy. The methods provide optimal solutions accounting for available prior knowledge and experimental imperfections with minimal effort from the user. The effect of many types of noise can be specified in the model of the measurement probabilities, and the rate of knowledge gain can easily be adjusted to account for times included in the measurement sequence other than the coherent evolution leading to the unknown phase, such as times required for state preparation or readout.
References in corpus (62)
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- The elusive Heisenberg limit in quantum enhanced metrology
- Entanglement-free Heisenberg-limited phase estimation
- Optimal Quantum Phase Estimation
- Using entanglement against noise in quantum metrology
- High-fidelity readout of trapped-ion qubits
- Optimal states and almost optimal adaptive measurements for quantum interferometry
- Experimental quantum-enhanced estimation of a lossy phase shift
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Robust Online Hamiltonian Learning
- Efficient Bayesian Phase Estimation
- How to perform the most accurate possible phase measurements
- Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip
- Optimized quantum sensing with a single electron spin using real-time adaptive measurements
- Efficient tools for quantum metrology with uncorrelated noise
- Learning Quantum Systems
- Quantum Metrological Limits via a Variational Approach
- Adaptive quantum metrology under general Markovian noise
- Qubit metrology and decoherence
- Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
- Phase estimation without a priori knowledge in the presence of loss
- Quantum methods for clock synchronization: Beating the standard quantum limit without entanglement
- Experimental estimation of one-parameter qubit gates in the presence of phase diffusion
- Bayesian quantum frequency estimation in presence of collective dephasing
- Optimal quantum circuits for general phase estimation
- Quantum measurement of a mesoscopic spin ensemble
- -Corrected Heisenberg Limit
- Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis
- Adaptive single-shot phase measurements: The full quantum theory
- Bayesian estimation of one-parameter qubit gates
- Accurately computing electronic properties of a quantum ring
- Bayesian estimation in homodyne interferometry
- On the communication complexity of establishing a shared reference frame
- Heisenberg-limited noisy atomic clock using a hybrid coherent and squeezed states protocol
- Quantum-enhanced magnetometry by phase estimation algorithms with a single artificial atom
- Beyond quantum Fisher information: optimal phase estimation with arbitrary a priori knowledge
- Frequentist and Bayesian Quantum Phase Estimation
- Nanoscale magnetometry using a single spin system in diamond
- Magnetic-field-learning using a single electronic spin in diamond with one-photon-readout at room temperature
- Identifying a Two-State Hamiltonian in the Presence of Decoherence
- Parameter Estimation with Mixed-State Quantum Computation
- Quantum metrology: why entanglement?
- Achieving Heisenberg scaling with maximally entangled states: an analytic upper bound for the attainable root mean square error
- Adaptive Measurements in the Optical Quantum Information Laboratory
- Adaptive tracking of a time-varying field with a quantum sensor
- Bayesian Quantum Multiphase Estimation Algorithm
- Experimental multiparameter quantum metrology in adaptive regime
- Maximal adaptive-decision speedups in quantum-state readout
- Entangled and sequential quantum protocols with dephasing
- Robust strategies for lossy quantum interferometry
- Iterative phase estimation
- Swarm optimization for adaptive phase measurements with low visibility
- Adaptive Bayesian phase estimation for quantum error correcting codes
- Usefulness of an enhanced Kitaev phase-estimation algorithm in quantum metrology and computation
- Real-time adaptive estimation of decoherence timescales for a single qubit
- Real-time frequency estimation of a qubit without single-shot-readout
- Consistency testing for robust phase estimation
- Efficient Bayesian phase estimation using mixed priors
- Optimal Low-Depth Quantum Signal-Processing Phase Estimation