Online adaptive estimation of decoherence timescales for a single qubit

19 Sept 2022, 12:15
15m
Seminarraum 1-3 (CFEL (Building 99))

Seminarraum 1-3

CFEL (Building 99)

Luruper Chaussee 149 22761 Hamburg Germany
Contributed Talk (15 min) Optimization and Control Optimization and Control

Speaker

Muhammad Junaid Arshad (Heriot-Watt University)

Description

The estimation of decoherence timescales is important not only as a key performance indicator for quantum technology, but also to measure physical quantities through the change they induce in the relaxation of quantum sensors. Typically, decoherence times are estimated by fitting a signal acquired while sweeping the time delay between qubit preparation and detection on a pre-determined range. Here we describe an adaptive Bayesian approach, based on a simple analytical update rule, to estimate T$_1$, T$_2^*$ and T$_2$ with the fewest number of measurements, demonstrating a speed-up of factor 3-10, depending on the specific experiment, compared to the standard protocols. We also demonstrate that, when sensing time $\tau$ is the resource to be minimised, a further speed-up of a factor $\sim $2 can be obtained by maximising the ratio between Fisher information and time $\tau$, compared to the Fisher information.

We demonstrate the online adaptive protocols on a single electronic spin qubit associated with a nitrogen-vacancy (NV) centre in diamond, implementing Bayesian inference on a hard-realtime microcontroller in less than 100 $\mu$s, a time negligible compared to the duration of each measurement. Our protocol can be readily applied to different types of quantum systems.

Primary author

Muhammad Junaid Arshad (Heriot-Watt University)

Co-authors

Mr Christiaan Bekker (Heriot Watt University) Mr Ben Haylock (Heriot Watt University) Mr Krzysztof Skrzypczak (Heriot Watt University) Mr Daniel White (Heriot Watt University) Mr Erik Gauger (Heriot Watt University) Mr Cristian Bonato (Heriot Watt University)

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