Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state

By S. Knysh, Vadim N. Smelyanskiy, G. Durkin. 2010

150 citations recorded by the source corpus.

Summary and Outlook: An important question in interfer-ometry that of scaling for precision with photon number Nand whether this scaling changes as Nincreases. We havequantiﬁed by the QFI, is quadratic in Ninitially and under-goes the crossover into the regime where it scales linearly withN. This has far-reaching repercussions — the crossover loca-tion N c is a function only of dissipation, due to these losses aresource bound (or scale) is imposed on any instrument claim-ing to offer supra-classical precision. Our results showing thatthe improvement of the phase precision per photon is dissipa-tion limited put into question the existing strategy of improv-ing the sensitivity of gravitational wave detectors by increas-ing signal ﬂux N.We have characterized the structure of the optimal state forsingle mode losses, showing that it undergoes an intriguingsequence of bifurcations as losses increase. We have shownthat in the high loss limit the optimal state has a width thatscales as N 2=3 or N

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/8b94d3bfe96e39f166c5f398165a16717d74b5ba

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Entanglement-enhanced measurement of a completely unknown phase (2010, background): “In this scenario, one can optimize states for loss-resistanc”
Quantum metrology and its application in biology (2014, background): “ical detection, while being one of the simplest approaches to quantumenhanced measurement, are optimal in this regime. Below this asymptotic limit, however, more complex states are optimal; see Refs. [48, 193, 89]. 8It should be noted that, here, by treating an ideal homodyne measurement of the sque”
Squeezed states of light and their applications in laser interferometers (2016, background): “…for the fundamental sensitivity limit needs to consider not only the total photon number inside the interferometer but also the total photon loss [Dorner et al. (2009); Ko lodyński and Demkowicz-Dobrzański (2010); Knysh et al. (2011); Escher et al. (2011); Demkowicz-Dobrzański et al. (2012)].”
Advances in quantum metrology (2011, background): “Surprisingly, it has been shown that asymptotically it is possible to do so only by a constant factor [101, 102]: for any nonzero loss, for sufficiently high number of photons N the scaling of the optimal phase sensing is proportional to the scaling of the shot noise ∝ N.”
General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology (2011, methodology): “For lossy optical interferometry, it was shown recentl”
Quantum limits in optical interferometry (2014, methodology): “The expression for the QFI of the output state (127) in the asymptotic limit of large N has been first derived by (Knysh et al., 2011).”