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25 April 2024 |
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Article overview
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Quantum metrology with a transmon qutrit | A. R. Shlyakhov
; V. V. Zemlyanov
; M. V. Suslov
; A. V. Lebedev
; G. S. Paraoanu
; G. B. Lesovik
; G. Blatter
; | Date: |
16 Nov 2017 | Abstract: | Making use of coherence and entanglement as metrological quantum resources
allows to improve the measurement precision from the shot-noise- or quantum
limit to the Heisenberg limit. Quantum metrology then relies on the
availability of quantum engineered systems that involve controllable quantum
degrees of freedom which are sensitive to the measured quantity. Sensors
operating in the qubit mode and exploiting their coherence in a phase-sensitive
measurement have been shown to approach the Heisenberg scaling in precision.
Here, we show that this result can be further improved by operating the quantum
sensor in the qudit mode, i.e., by exploiting $d$ rather than 2 levels.
Specifically, we describe the metrological algorithm for using a
superconducting transmon device operating in a qutrit mode as a magnetometer.
The algorithm is based on the base-3 semi-quantum Fourier transformation and
enhances the quantum theoretical performance of the sensor by a factor 2. Even
more, the practical gain of our qutrit-implementation is found in a reduction
of the number of iteration steps of the quantum Fourier transformation by a
factor $log 2/log 3 approx 0.63$ as compared to the qubit mode. We show,
that a two-tone capacitively coupled rf-signal is sufficient for the
implementation of the algorithm. | Source: | arXiv, 1711.6172 | Services: | Forum | Review | PDF | Favorites |
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