Optimal control of a nitrogen-vacancy spin ensemble in diamond for sensing in the pulsed domain

Poulsen, Annemarie; Clement, J. D.; Webb, James L.; Jensen, Rasmus Ramsbøl; Troise, Luca; Berg-Sørensen, Kirstine; Huck, Alexander; Andersen, Ulrik L.

doi:10.1103/physrevb.106.014202

Cited by 12 publications

(5 citation statements)

References 81 publications

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“…Fast and high-fidelity geometric control of a quantum system on hybrid spin registers in diamond has been realized [198]. Robust pulse sequences and optimized pulse pairs have been used to sense temperature and weak AC magnetic fields while decoupling from environmental noise [589], and optimal control of a nitrogen-vacancy spin ensemble in diamond has resulted in an improved detection of temperature and magnetic field [472]. Provably noiseresilient single-qubit gates have been designed with robust optimal control [659].…”

Section: Qoct In Experimentsmentioning

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

EPJ Quantum Technol.

211

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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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Section: Qoct In Experimentsmentioning

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

EPJ Quantum Technol.

211

View full text Add to dashboard Cite

show abstract

“…We thus turn to a discussion of several concrete examples. We first consider the example of the transmon-cavity system, see equation (20), where we increase d via the cavity dimension d c while leaving the transmon cutoff fixed. The corresponding Hamiltonian H 1 , written in the bare product basis, then has a constant maximum number of non-zero elements in each row.…”

Section: Appendix E the Scaling Of μmentioning

confidence: 99%

“…The rapidly evolving field of quantum information processing has generated much interest in quantum optimal control for tasks such as state preparation [1,2], error correction [3,4] and realization of logical gates [5][6][7][8]. This methodology has been implemented in various quantum systems [9], such as nuclear magnetic resonance [10][11][12][13][14][15], trapped ions [16,17], nitrogen-vacancy centers in diamonds [18][19][20][21][22][23][24], Bose-Einstein condensation [25][26][27] and neutral atoms [28,29].…”

Section: Introductionmentioning

confidence: 99%

Optimal control of large quantum systems: assessing memory and runtime performance of GRAPE

Lu,

Joshi,

San Dinh

et al. 2024

J. Phys. Commun.

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Gradient Ascent Pulse Engineering (GRAPE) is a popular technique in quantum optimal control, and can be combined with automatic differentiation (AD) to facilitate on-the-fly evaluation of cost-function gradients. We illustrate that the convenience of AD comes at a significant memory cost due to the cumulative storage of a large number of states and propagators. For quantum systems of increasing Hilbert space size, this imposes a significant bottleneck. We revisit the strategy of hard-coding gradients in a scheme that fully avoids propagator storage and significantly reduces memory requirements. Separately, we present improvements to numerical state propagation to enhance runtime performance. We benchmark runtime and memory usage and compare this approach to AD-based implementations, with a focus on pushing towards larger Hilbert space sizes. The results confirm that the AD-free approach facilitates the application of optimal control for large quantum systems which would otherwise be difficult to tackle.

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“…Inhomogeneous broadening due to ambient nuclear spins and external bias fields is one of the main obstacles to further improving the sensitivity of sensors. To alleviate the problem, dynamical decoupling (DD) is widely applied in sensing strategies based on NV centers [ 13 , 14 , 15 ], and various optimal methods are used to increase the performance of DD sequences [ 16 , 17 , 18 ], since inhomogeneous broadening also damages the fidelity of the control pulses with finite pulse length that construct DD series. Adiabatic strategies can significantly prolong decoherence time

and sensitivity compared with conventional flat

pulses [ 17 ], while smoothly shaped pulse designs based on numerical optimization [ 18 ] can adapt to a wider pulse length range where the adiabatic condition is not satisfied.…”

Section: Introductionmentioning

confidence: 99%

Bayesian-Based Hybrid Method for Rapid Optimization of NV Center Sensors

Tian

Said

Jelezko

et al. 2023

Sensors

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NV centers are among the most promising platforms in the field of quantum sensing. Magnetometry based on NV centers, especially, has achieved concrete development in areas of biomedicine and medical diagnostics. Improving the sensitivity of NV center sensors under wide inhomogeneous broadening and fieldamplitude drift is a crucial issue of continuous concern that relies on the coherent control of NV centers with high average fidelity. Quantum optimal control (QOC) methods provide access to this target; nevertheless, the high time consumption of current methods due to the large number of needful sample points as well as the complexity of the parameter space has hindered their usability. In this paper, we propose the Bayesian estimation phase-modulated (B-PM) method to tackle this problem. In the case of the state transforming of an NV center ensemble, the B-PM method reduced the time consumption by more than 90% compared with the conventional standard Fourier basis (SFB) method while increasing the average fidelity from 0.894 to 0.905. In the AC magnetometry scenario, the optimized control pulse obtained with the B-PM method achieved an eight-fold extension of coherence time T2 compared with the rectangular π pulse. Similar application can be made in other sensing situations. As a general algorithm, the B-PM method can be further extended to the open- and closed-loop optimization of complex systems based on a variety of quantum platforms.

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Optimal control of a nitrogen-vacancy spin ensemble in diamond for sensing in the pulsed domain

Cited by 12 publications

References 81 publications

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

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

Optimal control of large quantum systems: assessing memory and runtime performance of GRAPE

Bayesian-Based Hybrid Method for Rapid Optimization of NV Center Sensors

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