Phase estimation without a priori knowledge in the presence of loss
arXiv:1006.0734 · doi:10.1103/PhysRevA.82.053804
Abstract
We find the optimal scheme for quantum phase estimation in the presence of loss when no a priori knowledge on the estimated phase is available. We prove analytically an explicit lower bound on estimation uncertainty, which shows that, as a function of number of probes, quantum precision enhancement amounts at most to a constant factor improvement over classical strategies
8 pages, 2 figures, discussion on adaptive strategies added
References in corpus (7)
- Reference frames, superselection rules, and quantum information
- Beating the Standard Quantum Limit with Four Entangled Photons
- Entanglement-free Heisenberg-limited phase estimation
- Optimal Quantum Phase Estimation
- Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
- Loss-Induced Limits to Phase Measurement Precision with Maximally Entangled States
- Multiphoton path entanglement by non-local bunching
Cited by in corpus (34)
- Quantum metrology from a quantum information science perspective
- Using entanglement against noise in quantum metrology
- True precision limits in quantum metrology
- Observation of separated dynamics of charge and spin in the Fermi-Hubbard model
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Classical-driving-enhanced parameter-estimation precision of a non-Markovian dissipative two-state system
- The Parity Operator: applications in quantum metrology
- Collectively enhanced quantum measurements at the Heisenberg limit
- Quantum metrology of noisy spreading channels
- Entanglement and phase properties of noisy N00N states
- Precision bounds in noisy quantum metrology
- Modified Grover operator for amplitude estimation
- Loss-resistant unambiguous phase measurement
- Usefulness of an enhanced Kitaev phase-estimation algorithm in quantum metrology and computation
- Optimal multiple-phase estimation with multi-mode NOON states against photon loss
- Probabilistic metrology defeats ultimate deterministic bound
- Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
- Dynamic quantum-enhanced sensing without entanglement in central spin systems
- Enhancing precision of atomic clocks by tuning disorder in accessories
- Saturable global quantum sensing
- Mutual Information Bounded by Fisher Information
- Bures geodesics and quantum metrology
- Average number is an insufficient metric for interferometry
- Bayesian quantum phase estimation with fixed photon states
- Optimal circular dichroism sensing with quantum light: Multi-parameter estimation approach
- Simultaneous optical phase and loss estimation revisited: measurement and probe incompatibility
- Time-adaptive phase estimation
- Sub-shot-noise interferometry with two-mode quantum states
- Precision magnetometry exploiting excited state quantum phase transitions
- Quantum metrology with a non-linear kicked Mach-Zehnder interferometer
- Optimizing lossy state preparation for quantum sensing using Hamiltonian engineering
- Kramers-Kronig relations and precision limits in quantum phase estimation
- Improved Quantum Sensing by Spectral Design
- Dose-efficient Quantum Phase Estimation in Lossy Optical Interferometry