Time-optimal polarization transfer from an electron spin to a nuclear spin

Yuan, Haidong; Zeier, Robert; Pomplun, Nikolas; Glaser, Steffen J.; Khaneja, Navin

doi:10.1103/physreva.92.053414

Cited by 10 publications

(6 citation statements)

References 126 publications

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“…Sophisticated quantum control techniques are recently being used in both spectroscopy as well as in quantum information to achieve complex and precise spin dynamics [7,8,10,11,[49][50][51]. The challenge in many of such techniques is the numerical complexity involved in evaluating and optimizing propagators of large spin systems.…”

Section: Discussionmentioning

confidence: 99%

Bang-bang optimal control of large spin systems: Enhancement of 13C–13C singlet-order at natural abundance

Mahesh

2017

Journal of Magnetic Resonance

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Using a bang-bang optimal control technique, we transfer polarization from a set of abundant high-γ nuclei directly to singlet order of a low-γ spin-pair. This approach is analogous to algorithmic cooling (AC) procedure used in quantum state purification. Specifically, we apply this method for enhancing the singlet order in a natural abundant C-C spin pair by exploiting nine equivalent protons of an 11-spin system. Compared to the standard method not involving polarization transfer, we find an enhancement of singlet order by about 3.4 times. In addition, since the singlet magnetization is contributed by the faster relaxing protons, the recycle delay is halved. Thus effectively we observe a reduction in the overall experimental time by a factor of 23. We also discuss a possible extension of AC, known as heat-bath algorithmic cooling (HBAC).

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Section: Discussionmentioning

confidence: 99%

Bang-bang optimal control of large spin systems: Enhancement of 13C–13C singlet-order at natural abundance

Mahesh

2017

Journal of Magnetic Resonance

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“…In addition to the control of nuclear spin systems in NMR, optimal control pulses have been developed for the robust control of electron spins in the field of electron paramagnetic resonance (EPR) spectroscopy, see [532] for a review. In systems consisting of both nuclear and electron spins, the time-optimal polarization transfer from an electron spin to a nuclear spin was explored using optimal control techniques [639].…”

Section: Other Platformsmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch,

Boscain,

Calarco

et al. 2022

Preprint

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Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into one of the cornerstones for enabling quantum technologies. The last few years have seen a rapid evolution and expansion of the field. We review here recent progress in our understanding of the controllability of open quantum systems and in the development and application of quantum control techniques to quantum technologies. We also address key challenges and sketch a roadmap for future developments.

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“…While optimizing DNP sequences on a model, i.e. performing open-loop Quantum Optimal Control (QOC), is one method to recover some of their performance [25], another is to employ closed-loop QOC by allowing an algorithm to directly control the experiment (shown in Fig. 1d) [26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%