The best Fisher is upstream: data processing inequalities for quantum metrology
arXiv:1404.3225 · doi:10.1103/PhysRevA.90.014101
Abstract
We apply the classical data processing inequality to quantum metrology to show that manipulating the classical information from a quantum measurement cannot aid in the estimation of parameters encoded in quantum states. We further derive a quantum data processing inequality to show that coherent manipulation of quantum data also cannot improve the precision in estimation. In addition, we comment on the assumptions necessary to arrive at these inequalities and how they might be avoided providing insights into enhancement procedures which are not provably wrong.
arXiv commentComments encouraged
References in corpus (21)
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- An atomic clock with instability
- Quantum data processing and error correction
- Entanglement-free Heisenberg-limited phase estimation
- Optimal Quantum Phase Estimation
- A Quantum Rosetta Stone for Interferometry
- Generalized Limits for Single-Parameter Quantum Estimation
- Improved quantum metrology using quantum error-correction
- Quantum Error Correction for Metrology
- General optimality of the Heisenberg limit for quantum metrology
- Fundamental Quantum Limit to Waveform Estimation
- Robust Online Hamiltonian Learning
- Increasing sensing resolution with error correction
- Optimal quantum-enhanced interferometry using a laser power source
- Information Theoretic Proofs of Entropy Power Inequalities
- An Efficient Algorithm for Optimizing Adaptive Quantum Metrology Processes
- Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis
- Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
- Quantum clock synchronization and quantum error correction
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- Quantum Markov monogamy inequalities
- Improving quantum parameter estimation by monitoring quantum trajectories
- Parameter estimation for quantum jump unraveling