Robust quantum metrological schemes based on protection of quantum Fisher information
arXiv:1405.4052 · doi:10.1038/ncomms8282
Abstract
Fragile quantum features such as entanglement are employed to improve the precision of parameter estimation and as a consequence the quantum gain becomes vulnerable to noise. As an established tool to subdue noise, quantum error correction is unfortunately overprotective because the quantum enhancement can still be achieved even if the states are irrecoverably affected, provided that the quantum Fisher information, which sets the ultimate limit to the precision of metrological schemes, is preserved and attained. Here, we develop a theory of robust metrological schemes that preserve the quantum Fisher information instead of the quantum states themselves against noise. After deriving a minimal set of testable conditions on this kind of robustness, we construct a family of qubits metrological schemes being immune to -qubit errors after the signal sensing. In comparison at least five qubits are required for correcting arbitrary 1-qubit errors in standard quantum error correction.
arXiv comment12 pages, 4 figures
References in corpus (32)
- Mixed State Entanglement and Quantum Error Correction
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- On the Improvement of Frequency Stardards with Quantum Entanglement
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum metrology with entangled coherent states
- Optimal Quantum Phase Estimation
- Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement
- Unambiguous Discrimination Between Linearly-Independent Quantum States
- Quantum phase estimation with lossy interferometers
- Improved quantum metrology using quantum error-correction
- Quantum Error Correction for Metrology
- Experimental quantum-enhanced estimation of a lossy phase shift
- Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
- Optical phase estimation in the presence of phase-diffusion
- Noisy metrology beyond the standard quantum limit
- Increasing sensing resolution with error correction
- Quantum metrology with open dynamical systems
- Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum
- Loss-Induced Limits to Phase Measurement Precision with Maximally Entangled States
- Note on Explicit Formulae for the Bures Metric
- Optimization of quantum interferometric metrological sensors in the presence of photon loss
- Optical interferometry in the presence of large phase diffusion
- Nonadditive quantum error-correcting code
- Phase estimation via quantum interferometry for noisy detectors
- Strategies for choosing path-entangled number states for optimal robust quantum optical metrology in the presence of loss
- Heisenberg limited metrology using Quantum Error-Correction Codes
- Robust strategies for lossy quantum interferometry
- Quantum clock synchronization and quantum error correction
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- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- Optimal adaptive control for quantum metrology with time-dependent Hamiltonians
- The ultimate precision limits for noisy frequency estimation
- Optimal and Secure Measurement Protocols for Quantum Sensor Networks
- Quantum parameter estimation with optimal control
- Quantum metrology with full and fast quantum control
- Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
- Incorporating Heisenberg's Uncertainty Principle into Quantum Multiparameter Estimation
- Optimal Scheme for Quantum Metrology
- Retrieving ideal precision in noisy quantum optical metrology
- Asymptotic theory of quantum channel estimation
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- Protecting weak measurements against systematic errors
- Quantum noise reduction in intensity-sensitive surface plasmon resonance sensors
- Floquet Engineering to Overcome No-Go Theorem of Noisy Quantum Metrology
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- Optimal approximate quantum error correction for quantum metrology
- Maximal quantum Fisher information for general su(2) parametrization processes
- Approaching Heisenberg-scalable thermometry with built-in robustness against noise
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- Quantum metrology in local dissipative environments
- Validating and controlling quantum enhancement against noise by motion of a qubit
- Robustness of Quantum-Enhanced Adaptive Phase Estimation
- Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states
- Quantum metrology in the noisy intermediate-scale quantum era
- Quantum estimation in an expanding spacetime
- Practical Limits of Error Correction for Quantum Metrology
- Demonstration of quantum error correction for enhanced sensitivity of photonic measurements
- Fault-tolerant quantum metrology
- Thermal quantum correlations and Teleportation in a Graphene Sheet
- Multiqubit matter-wave interferometry under decoherence and the Heisenberg scaling recovery
- Generalized-mean Cramér-Rao Bounds for Multiparameter Quantum Metrology
- Non-Markovian effect on quantum optical metrology under dissipative environment
- Fisher information as general metrics of quantum synchronization
- Generalization of Rayleigh's Criterion on Parameter Estimation with Incoherent Sources
- Time-local optimal control for parameter estimation in the Gaussian regime
- Covariant Quantum Error-Correcting Codes with Metrological Entanglement Advantage
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- Toward Axion Signal Extraction in Semiconductor Spin Qubits Via Spectral Engineering
- Achieving Heisenberg Scaling on Measurement of A Three-Qubit System via Quantum Error Correction
- Achieving Heisenberg limit under General Markov Noise without Ancilla
- Enhancing parameter estimation precision in dissipative environment with two-photon driving
- Resource theory of dephasing estimation in multiqubit systems
- Ancilla-assisted frequency estimation under phase covariant noises with Greenberger-Horne-Zeilinger states
- Optimal and robust error filtration for quantum information processing
- Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
- Describing quantum metrology with erasure errors using weight distributions of classical codes
- Robustness of the projected squeezed state protocol