Dissipative adiabatic measurements: Beating the quantum Cramér-Rao bound

@article{Zhang2020DissipativeAM,
  title={Dissipative adiabatic measurements: Beating the quantum Cram{\'e}r-Rao bound},
  author={Da-Jian Zhang and Jiangbin Gong},
  journal={arXiv: Quantum Physics},
  year={2020}
}
It is challenged only recently that the precision attainable in any measurement of a physical parameter is fundamentally limited by the quantum Cramer-Rao Bound (QCRB). Here, targeting at measuring parameters in strongly dissipative systems, we propose an innovative measurement scheme called {\it dissipative adiabatic measurement} and theoretically show that it can beat the QCRB. Unlike projective measurements, our measurement scheme, though consuming more time, does not collapse the measured… 
2 Citations

Figures from this paper

Uninformed Bayesian quantum thermometry
We study the Bayesian approach to thermometry with no prior knowledge about the expected temperature scale, through the example of energy measurements on fully or partially thermalized qubit probes.
Surpassing the thermal Cramér-Rao bound with collisional thermometry
In collisional thermometry, a system in contact with the thermal bath is probed by a stream of ancillas. Coherences and collective measurements were shown to improve the Fisher information in some

References

SHOWING 1-10 OF 80 REFERENCES
Quantum Computation and Quantum Information
TLDR
This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Science 339
  • 178
  • 2013
Phys
  • Rev. Lett. 72, 3439
  • 1994
Phys
  • Lett. A 178, 38
  • 1993
Int
  • J. Quantum Inform. 07, 125
  • 2009
Collisional Quantum Thermometry.
TLDR
This work shows through a minimal qubit model that individual ancillas can already outperform the thermal Cramer-Rao bound, and sets forth the notion of metrology in a sequential interactions setting, and may inspire further advances in quantum thermometry.
Quantum computation and quantum-state engineering driven by dissipation
In quantum information science, dissipation is commonly viewed as an adverse effect that destroys information through decoherence. But theoretical work shows that dissipation can be used to drive
Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
Under appropriate conditions, superconducting electronic circuits behave quantum mechanically, with properties that can be designed and controlled at will. We have realized an experiment in which a
Using Polarons for sub-nK Quantum Nondemolition Thermometry in a Bose-Einstein Condensate.
TLDR
A novel minimally disturbing method for sub-nK thermometry in a Bose-Einstein condensate (BEC) based on the Bose polaron model, which can compete with state-of-the-art destructive techniques, even when the estimates are built from the outcomes of accessible (suboptimal) quadrature measurements.
...
...