Super sensitivity and super resolution with quantum teleportation

J Borregaard,J S Neergaard-Nielsen,U L Andersen,T Gehring

doi:10.1038/s41534-019-0132-4

J Borregaard, J S Neergaard-Nielsen + Show 2 more

Open Access

https://doi.org/10.1038/s41534-019-0132-4

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Abstract

We propose a method for quantum enhanced phase estimation based on continuous variable (CV) quantum teleportation. The phase shift probed by a coherent state can be enhanced by repeatedly teleporting the state back to interact with the phase shift again using a supply of two-mode squeezed vacuum states. In this way a sequential protocol exhibiting both super-resolution and super-sensitivity can be obtained due to the coherent addition of the phase shift. The protocol enables Heisenberg-limited sensitivity and super-resolution given sufficiently strong squeezing. The proposed method could be implemented with current or near-term technology of CV teleportation.

Highlights

Quantum correlations can be used in a number of ways to enhance metrological performance.[1,2,3,4] Highly entangled states such as NOON and GHZ states can enable Heisenberg-limited sensitivity yielding a square root improvement with the number of probes over the standard quantum limit (SQL).[5,6,7] This kind of improvement is useful when probing fragile systems where photon damage limits the allowed number of probe photons
We investigate the performance of the proposed protocol in the presence of both loss acting on the probe state corresponding to a lossy phase shift system and loss acting on the two-mode squeezed vacuum states
We have shown how both super-sensitivity and superresolution can be obtained for an optical phase measurement using continuous variable quantum teleportation based on two-mode squeezed vacuum states

Summary

Introduction

Quantum correlations can be used in a number of ways to enhance metrological performance.[1,2,3,4] Highly entangled states such as NOON and GHZ states can enable Heisenberg-limited sensitivity yielding a square root improvement with the number of probes over the standard quantum limit (SQL).[5,6,7] This kind of improvement is useful when probing fragile systems where photon damage limits the allowed number of probe photons. Other strategies based on the more experimentally accessible squeezed vacuum states have shown to beat the SQL in various settings.[15,16,17,18,19,20] An alternative strategy is to perform multi-pass protocols with a single probe This enables both Heisenberg-limited sensitivity and superresolution[21] for phase estimation without entangled resources by applying the phase shift to the same probe multiple times.[22,23,24] Its experimental demonstration was realized by surrounding the phase shift system with mirrors to measure a transversally distributed phase shift[25] or an image[26] with Heisenberg-limited sensitivity. For mirror-based approaches, this may be obtained with fast integrated optical routing on the timescale of the roundtrip time between mirrors, which can be very challenging experimentally

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