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Arbitrarily accurate passband composite pulses for dynamical suppression of amplitude noise | | Elica Kyoseva
; Nikolay V. Vitanov
; | | Date: |
26 Oct 2013 | | Abstract: | We introduce flexible high-fidelity passband (PB) composite pulse sequences
constructed by concatenation of recently derived arbitrarily large and
arbitrarily accurate broadband $mathcal{B}$ and narrowband $mathcal{N}$
composite sequences. Our PB sequences allow to produce flexible and tunable
nearly rectangular two-state inversion profiles as a function of the individual
pulse area because the width and the rectangularity of these profiles can be
adjusted at will. Moreover, these PB sequences suppress excitation around pulse
area $0$ and $2pi$, and suppress deviations from complete population inversion
around pulse area $pi$ to arbitrarily high orders. These features makes them a
valuable tool for high-fidelity qubit operations in the presence of relatively
strong amplitude noise. We construct two types of PB pulses:
$mathcal{N}(mathcal{B})$ in which a broadband pulse is nested into a
narrowband pulse, and $mathcal{B}(mathcal{N})$ in which a narrowband pulse is
nested into a broadband pulse; the latter sequences deliver narrower profiles.
We derive exact analytic formulas for the composite phases of the PB pulses and
exact analytic formulas for the inversion profiles. These formulas allow an
easy estimation of the experimental resources needed for any desired qubit
inversion profile. | | Source: | arXiv, 1310.7145 | | Services: | Forum | Review | PDF | Favorites | |
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