Memory effects in quantum metrology
arXiv:1904.07267 · doi:10.1103/PhysRevLett.123.110501
Abstract
Quantum metrology concerns estimating a parameter from multiple identical uses of a quantum channel. We extend quantum metrology beyond this standard setting and consider estimation of a physical process with quantum memory, here referred to as a parametrized quantum comb. We present a theoretic framework of metrology of quantum combs, and derive a general upper bound of the comb quantum Fisher information. The bound can be operationally interpreted as the quantum Fisher information of a memoryless quantum channel times a dimensional factor. We then show an example where the bound can be attained up to a factor of four. With the example and the bound, we show that memory in quantum sensors plays an even more crucial role in the estimation of combs than in the standard setting of quantum metrology.
5 pages + appendix; published version
References in corpus (9)
- Advances in Photonic Quantum Sensing
- Entanglement-free Heisenberg-limited phase estimation
- Quantum Circuits Architecture
- Using entanglement against noise in quantum metrology
- Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
- Resource theories of quantum channels and the universal role of resource erasure
- Relative entropies of quantum channels with applications in resource theory
- Optimal probabilistic estimation of quantum states
- Optimal estimation and discrimination of excess noise in thermal and amplifier channels
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