Entangling measurements for multiparameter estimation with two qubits
arXiv:1704.03327 · doi:10.1088/2058-9565/aa9212
Abstract
Careful tailoring the quantum state of probes offers the capability of investigating matter at unprecedented precisions. Rarely, however, the interaction with the sample is fully encompassed by a single parameter, and the information contained in the probe needs to be partitioned on multiple parameters. There exist then practical bounds on the ultimate joint-estimation precision set by the unavailability of a single optimal measurement for all parameters. Here we discuss how these considerations are modified for two-level quantum probes - qubits - by the use of two copies and entangling measurements. We find that the joint estimation of phase and phase diffusion benefits from such collective measurement, while for multiple phases, no enhancement can be observed. We demonstrate this in a proof-of-principle photonics setup.
References in corpus (16)
- Beating the Standard Quantum Limit with Four Entangled Photons
- Entanglement-free Heisenberg-limited phase estimation
- Optimal Quantum Phase Estimation
- Measuring measurement
- Operational Significance of Discord Consumption: Theory and Experiment
- Optimal quantum estimation of loss in bosonic channels
- Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
- Optimal estimation of joint parameters in phase space
- Quantum metrology with imperfect states and detectors
- Depolarization dynamics in a strongly interacting solid-state spin ensemble
- Quantum interferometry with three-dimensional geometry
- Mapping coherence in measurement via full quantum tomography of a hybrid optical detector
- Optical interferometry in the presence of large phase diffusion
- Estimation of unitary quantum operations
- Entanglement is not very useful for estimating multiple phases
- Joint estimation of phase and phase diffusion for quantum metrology
Cited by in corpus (43)
- Quantum Fisher information matrix and multiparameter estimation
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
- Experimental multiphase estimation on a chip
- Deterministic realization of collective measurements via photonic quantum walks
- Experimental Phase Estimation Enhanced By Machine Learning
- Optimal measurements for quantum multiparameter estimation with general states
- Towards superresolution surface metrology: Quantum estimation of angular and axial separations
- Approaching optimal entangling collective measurements on quantum computing platforms
- Efficient computation of the Nagaoka--Hayashi bound for multi-parameter estimation with separable measurements
- Incompatibility in Quantum Parameter Estimation
- Geometrical bounds on irreversibility in open quantum systems
- On the quantumness of multiparameter estimation problems for qubit systems
- Experimental optimal orienteering via parallel and antiparallel spins
- On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation
- Measuring coherence of quantum measurements
- Information geometry under hierarchical quantum measurement
- Non-Orthogonal Bases for Quantum Metrology
- Experimental demonstration of topological bounds in quantum metrology
- Incompatibility measures in multi-parameter quantum estimation under hierarchical quantum measurements
- Discriminating mixed qubit states with collective measurements
- Experimental ancilla-assisted phase-estimation in a noisy channel
- Compressively certifying quantum measurements
- Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
- Quantum Polarimetry
- Quantum sensing of the phase space displacement parameters using a single trapped ion
- Verifying the security of a continuous variable quantum communication protocol via quantum metrology
- Fundamental noisy multiparameter quantum bounds
- Optimizing quantum-enhanced Bayesian multiparameter estimation of phase and noise in practical sensors
- Simultaneous Measurement of Multiple Incompatible Observables and Tradeoff in Multiparameter Quantum Estimation
- Characterization of entangling properties of quantum measurement via two-mode quantum detector tomography using coherent state probes
- Fisher information susceptibility for multiparameter quantum estimation
- Quantum-enhanced joint estimation of phase and phase diffusion
- Optimal Single Qubit Tomography: Realization of Locally Optimal Measurements on a Quantum Computer
- Estimation of high-dimensional unitary transformations saturating the Quantum Cramér-Rao bound
- Multiparameter estimation with two qubit probes in noisy channels
- Attainability of quantum state discrimination bounds with collective measurements on finite copies
- Detector entanglement: Quasidistributions for Bell-state measurements
- Multiparameter quantum metrology at Heisenberg scaling for an arbitrary two-channel linear interferometer with squeezed light
- Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cramér-Rao bounds
- Minimal Trade-off and Optimal Measurement for Multiparameter Quantum Estimation
- Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements
- Measurement compatibility in multiparameter quantum interferometry