Bayesian Quantum Multiphase Estimation Algorithm
arXiv:2010.09075 · doi:10.1103/PhysRevApplied.16.014035
Abstract
Quantum phase estimation (QPE) is the key subroutine of several quantum computing algorithms as well as a central ingredient in quantum computational chemistry and quantum simulation. While QPE strategies have focused on the estimation of a single phase, applications to the simultaneous estimation of several phases may bring substantial advantages; for instance, in the presence of spatial or temporal constraints. In this work, we study a Bayesian algorithm for the parallel (simultaneous) estimation of multiple arbitrary phases. The protocol gives access to correlations in the Bayesian multi-phase distribution resulting in covariance matrix elements scaling inversely proportional to the square of the total number of quantum resources. The parallel estimation allows to surpass the sensitivity of sequential single-phase estimation strategies for optimal linear combinations of phases. Furthermore, the algorithm proves a certain noise resilience and can be implemented using single photons and standard optical elements in currently accessible experiments.
References in corpus (55)
- Quantum sensing
- Advances in Quantum Metrology
- Quantum metrology
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum computational chemistry
- Simulated Quantum Computation of Molecular Energies
- Quantum Algorithms Revisited
- Quantum metrology from a quantum information science perspective
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- A quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
- Scalable Quantum Simulation of Molecular Energies
- A quantum network of clocks
- Entanglement-free Heisenberg-limited phase estimation
- Realization of a scalable Shor algorithm
- Semiclassical Fourier Transform for Quantum Computation
- Quantum Enhanced Multiple Phase Estimation
- Experimental realisation of Shor's quantum factoring algorithm using qubit recycling
- Distributed quantum sensing in a continuous variable entangled network
- Multi-parameter estimation in networked quantum sensors
- Quantum Metropolis Sampling
- Compatibility in Multiparameter Quantum Metrology
- Optimal states and almost optimal adaptive measurements for quantum interferometry
- Quantum enhanced estimation of a multi-dimensional field
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Witnessing eigenstates for quantum simulation of Hamiltonian spectra
- Robust Online Hamiltonian Learning
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Efficient Bayesian Phase Estimation
- How to perform the most accurate possible phase measurements
- Three-photon bosonic coalescence in an integrated tritter
- Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip
- Optimized quantum sensing with a single electron spin using real-time adaptive measurements
- Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Sensitivity Bounds for Multiparameter Quantum Metrology
- Distributed quantum phase estimation with entangled photons
- Ab-initio Quantum Enhanced Optical Phase Estimation Using Real-time Feedback Control
- Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
- Heisenberg-limited atom clocks based on entangled qubits
- Quantum methods for clock synchronization: Beating the standard quantum limit without entanglement
- Quantum interferometry with three-dimensional geometry
- Experimental multiphase estimation on a chip
- Multiparameter squeezing for optimal quantum enhancements in sensor networks
- Experimental optical phase measurement approaching the exact Heisenberg limit
- Bayesian multi-parameter quantum metrology with limited data
- On the communication complexity of establishing a shared reference frame
- Heisenberg-limited noisy atomic clock using a hybrid coherent and squeezed states protocol
- Frequentist and Bayesian Quantum Phase Estimation
- Optimal Distributed quantum sensing using Gaussian states
- Precision bounds for gradient magnetometry with atomic ensembles
- Quantum sensors for dynamical tracking of chemical processes
- Mach Zehnder Interferometry with NOON Quantum States
- Multiphase estimation without a reference mode
- Sub Shot-Noise interferometric phase sensitivity with Beryllium ions Schroedinger Cat States
Cited by in corpus (24)
- Learning Quantum Systems
- Heisenberg-limited quantum phase estimation of multiple eigenvalues with few control qubits
- Multiple-phase quantum interferometry -- real and apparent gains of measuring all the phases simultaneously
- Uninformed Bayesian Quantum Thermometry
- Experimental multiparameter quantum metrology in adaptive regime
- Quantum scale estimation
- Non-asymptotic Heisenberg scaling: experimental metrology for a wide resources range
- Atomic clock locking with Bayesian quantum parameter estimation: scheme and experiment
- A protocol for global multiphase estimation
- Benchmarking Bayesian quantum estimation
- Workflow for practical quantum chemical calculations with quantum phase estimation algorithm: electronic ground and π-π* excited states of benzene and its derivatives†
- Experimental investigation of Bayesian bounds in multiparameter estimation
- Projective Quantum Phase Difference Estimation Algorithm for the Direct Computation of Eigenenergy Gaps on a Quantum Computer
- Mutual Information Bounded by Fisher Information
- Multiparameter estimation with two qubit probes in noisy channels
- Enhancing qubit readout with Bayesian Learning
- Channel-based framework for phase esimation of multiple eigenvalues
- Optimal Coherent Quantum Phase Estimation via Tapering
- Quantum multiphase estimation
- Time-adaptive phase estimation
- Bayesian mitigation of measurement errors in multiqubit experiments
- Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cramér-Rao bounds
- The Cramér-Rao approach and global quantum estimation of bosonic states
- Hermitian Matrix Definiteness from Quantum Phase Estimation