Geometric pathway to scalable quantum sensing

Mattias T. Johnsson, Nabomita Roy Mukty, Daniel Burgarth, Thomas Volz, Gavin K. Brennen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
24 Downloads (Pure)


Entangled resources enable quantum sensing that achieves Heisenberg scaling, a quadratic improvement on the standard quantum limit, but preparing large N spin entangled states is challenging in the presence of decoherence. We present a quantum control strategy using highly nonlinear geometric phase gates which can be used for generic state or unitary synthesis on the Dicke subspace with O(N) or O(N2) gates, respectively. The method uses a dispersive coupling of the spins to a common bosonic mode and does not require addressability, special detunings, or interactions between the spins. By using amplitude amplification our control sequence for preparing states ideal for metrology can be significantly simplified to O(N5/4) geometric phase gates with action angles O(1/N) that are more robust to mode decay. The geometrically closed path of the control operations ensures the gates are insensitive to the initial state of the mode and the sequence has built-in dynamical decoupling providing resilience to dephasing errors.

Original languageEnglish
Article number190403
Pages (from-to)190403-1-190403-6
Number of pages6
JournalPhysical Review Letters
Issue number19
Publication statusPublished - 6 Nov 2020

Bibliographical note

Copyright 2020 American Physical Society. Firstly published in Physical Review Letters, 125(19), 190403. The original publication is available at Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.


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