Quantum error correction assisted quantum metrology without entanglement
arXiv:1901.03493 · doi:10.1103/PhysRevA.100.022312
Abstract
In this article we study the role that quantum resources play in quantum error correction assisted quantum metrology (QECQM) schemes. We show that there exist classes of such problems where entanglement is not necessary to retrieve noise free evolution and Heisenberg scaling in the long time limit. Over short time scales, noise free evolution is also possible even without any form of quantum correlations. In particular, for qubit probes, we show that whenever noise free quantum metrology is possible via QECQM, entanglement free schemes over long time scales and correlation free schemes over short time scales are always possible.
15 pages, 1 Figure
References in corpus (30)
- Introducing Quantum Discord
- Classical, quantum and total correlations
- Quantum Coherence as a Resource
- Quantum discord and the power of one qubit
- On the Improvement of Frequency Stardards with Quantum Entanglement
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Measuring Quantum Coherence with Entanglement
- Robustness of entanglement
- Quantum discord as resource for remote state preparation
- Quantum enhanced measurements without entanglement
- Operational interpretations of quantum discord
- Quantum phase estimation with lossy interferometers
- Improved quantum metrology using quantum error-correction
- Quantum Error Correction for Metrology
- Quantum discord determines the interferometric power of quantum states
- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- Relations between coherence and path information
- Increasing sensing resolution with error correction
- Quantum discord bounds the amount of distributed entanglement
- A Unified View of Quantum Correlations and Quantum Coherence
- Adaptive quantum metrology under general Markovian noise
- Quantum metrology with full and fast quantum control
- Ancilla-free quantum error correction codes for quantum metrology
- Quantum Correlations in Mixed-State Metrology
- Quantifying the Coherence Between Coherent States
- Coherence, Quantum Fisher Information, Superradiance and Entanglement are Interconvertible Resources
- Entanglement as the symmetric portion of correlated coherence
- Quantum macroscopicity versus distillation of macroscopic superpositions
- Disturbance-Based Measure of Macroscopic Coherence
- Power of One Bit of Quantum Information in Quantum Metrology