Spin echo can be used to refocus random dynamical phases caused by inhomogeneities in control fields and thereby retain the purity of a spatial distribution of quantum spins. This technique for accurate spin control is an essential ingredient in many applications, such as nuclear magnetic resonance, magnetic resonance imaging, and quantum information processing. Here, we show how all the elements of a spin echo sequence can be performed at high speed by means of shortcuts to adiabaticity. Our proposal promises accurate control of rapid quantum spin evolution. We illustrate our scheme for a universal nonadiabatic geometric single-qubit gate.Spin echo can be used to refocus random dynamical phases caused by inhomogeneities in control fields and thereby retain the purity of a spatial distribution of quantum spins. This technique for accurate spin control is an essential ingredient in many applications, such as nuclear magnetic resonance, magnetic resonance imaging, and quantum information processing. Here, we show how all the elements of a spin echo sequence can be performed at high speed by means of shortcuts to adiabaticity. Our proposal promises accurate control of rapid quantum spin evolution. We illustrate our scheme for a universal nonadiabatic geometric single-qubit gate.

Jul 14, 20210 citations

A short review of solution techniques for single-spin manipulation with an overview of applications

Rafael Hernández-Ortiz, Mateo Pabon-Barbery, Francisco Delgado

Abstract Within the framework of quantum information and quantum processing, spin quantum systems are one of the most promising technologies, so they are extensively studied nowadays. It has provided several notable applications centred around the manipulation and control of spin ensembles through magnetic fields, particularly in Nuclear Magnetic Resonance. Also, such control is crucial for the settlement of qubit states and the construction of quantum gates. In this work, a review of methods to get the single spin dynamics is presented, thus regarding the simplest analytical solutions, the rotating frame approach, and general numerical procedures. Besides, some applications such as Evolution-loops, Spin-echo, and local Quantum gates are discussed. Finally, we deal with adiabatic pulses to explore a recent research implementation of quantum memories using single-spin systems.Abstract Within the framework of quantum information and quantum processing, spin quantum systems are one of the most promising technologies, so they are extensively studied nowadays. It has provided several notable applications centred around the manipulation and control of spin ensembles through magnetic fields, particularly in Nuclear Magnetic Resonance. Also, such control is crucial for the settlement of qubit states and the construction of quantum gates. In this work, a review of methods to get the single spin dynamics is presented, thus regarding the simplest analytical solutions, the rotating frame approach, and general numerical procedures. Besides, some applications such as Evolution-loops, Spin-echo, and local Quantum gates are discussed. Finally, we deal with adiabatic pulses to explore a recent research implementation of quantum memories using single-spin systems.

Journal of Physics Conference SeriesJun 1, 20251 citation

Universal quantum control in zero-field nuclear magnetic resonance

Ji Bian, Min Jiang, Jiangyu Cui +7 more

This paper describes a general method for the manipulation of nuclear spins in zero magnetic field. In the absence of magnetic fields, the spins lose the individual information on chemical shifts and inequivalent spins can only be distinguished by nuclear gyromagnetic ratios and spin-spin couplings. For spin- $\frac{1}{2}$ nuclei with different gyromagnetic ratios (i.e., different species) in zero magnetic field, we describe the scheme to realize a set of universal quantum logic gates, e.g., arbitrary single-qubit gates and a two-qubit controlled-not gate. This method allows for universal quantum control in systems which might provide promising applications in materials science, chemistry, biology, quantum information processing, and fundamental physics.This paper describes a general method for the manipulation of nuclear spins in zero magnetic field. In the absence of magnetic fields, the spins lose the individual information on chemical shifts and inequivalent spins can only be distinguished by nuclear gyromagnetic ratios and spin-spin couplings. For spin-$\frac{1}{2}$ nuclei with different gyromagnetic ratios (i.e., different species) in zero magnetic field, we describe the scheme to realize a set of universal quantum logic gates, e.g., arbitrary single-qubit gates and a two-qubit controlled-not gate. This method allows for universal quantum control in systems which might provide promising applications in materials science, chemistry, biology, quantum information processing, and fundamental physics.

arXiv:1705.02064Physical Review AMay 23, 201723 citations

Experimental approach to ultrafast optical spin echo of a single quantum dot electron spin

Kristiaan De Greve, David Press, Thaddeus D. Ladd +7 more

The phase coherence of a physical qubit is essential for quantum information processing, motivating fast control methods to preserve that phase. Ultrafast optical techniques allow complete spin control to be performed on a much faster timescale than microwave or electrical control (ps vs. ns at best). Using our ultrafast control techniques, we demonstrate our experimental approach towards a spin echo sequence on the spin of a single electron confined in a semiconductor quantum dot (QD), increasing the observed decoherence time of a single QD electron spin from nanoseconds to several microseconds. The ratio of the observed decoherence time to the demonstrated single-qubit gate time exceeds 105, suggesting strong promise for future quantum information processors.The phase coherence of a physical qubit is essential for quantum information processing, motivating fast control methods to preserve that phase. Ultrafast optical techniques allow complete spin control to be performed on a much faster timescale than microwave or electrical control (ps vs. ns at best). Using our ultrafast control techniques, we demonstrate our experimental approach towards a spin echo sequence on the spin of a single electron confined in a semiconductor quantum dot (QD), increasing the observed decoherence time of a single QD electron spin from nanoseconds to several microseconds. The ratio of the observed decoherence time to the demonstrated single-qubit gate time exceeds 105, suggesting strong promise for future quantum information processors.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEDec 28, 20090 citations

High-Fidelity Control of Spin Ensemble Dynamics via Artificial Intelligence: From Quantum Computing to Imaging

V. S. Manu, KowsalyaDevi Pavuluri, Michael Mullen +2 more

Abstract High-fidelity control of spin ensemble dynamics is essential to many fields, spanning from quantum computing to optical, coherent, and nuclear magnetic resonance (NMR) spectroscopy and imaging (MRI). However, attaining robust and high-fidelity quantum spin operations remains an unmet challenge. Using a combination of an evolutionary algorithm and artificial intelligence, we designed time-optimal, radio frequency (RF) pulses with tunable spatial or temporal field inhomogeneity compensation and fidelity for unitary operations up to 0.9999. As a benchmark, we constructed a spin entanglement operator and a programmable quantum state creator for a weakly-coupled two-spin-1/2 system. We achieved high-fidelity transformations under multiple inhomogeneity sources. The newly designed RF pulses are more robust and less prone to imperfection than the commonly used shapes for basic liquid-state NMR experiments and reduce RF artifacts in MRI. This new strategy will enable the design of efficient quantum computing opera-tors as well as new spectroscopic and imaging techniques.Abstract High-fidelity control of spin ensemble dynamics is essential to many fields, spanning from quantum computing to optical, coherent, and nuclear magnetic resonance (NMR) spectroscopy and imaging (MRI). However, attaining robust and high-fidelity quantum spin operations remains an unmet challenge. Using a combination of an evolutionary algorithm and artificial intelligence, we designed time-optimal, radio frequency (RF) pulses with tunable spatial or temporal field inhomogeneity compensation and fidelity for unitary operations up to 0.9999. As a benchmark, we constructed a spin entanglement operator and a programmable quantum state creator for a weakly-coupled two-spin-1/2 system. We achieved high-fidelity transformations under multiple inhomogeneity sources. The newly designed RF pulses are more robust and less prone to imperfection than the commonly used shapes for basic liquid-state NMR experiments and reduce RF artifacts in MRI. This new strategy will enable the design of efficient quantum computing opera-tors as well as new spectroscopic and imaging techniques.

Apr 20, 20211 citation

Geometric quantum gates in liquid-state NMR based on a cancellation of dynamical phases

Yukihiro Ota, Yoshito Goto, Yasushi Kondo +1 more

A proposal for applying nonadiabatic geometric phases to quantum computing, called double-loop method [S.-L. Zhu and Z. D. Wang, Phys. Rev. A 67, 022319 (2003)], is demonstrated in a liquid-state nuclear magnetic-resonance quantum computer. Using a spin-echo technique, the original method is modified so that quantum gates are implemented in a standard high-precision nuclear magnetic-resonance system for chemical analysis. We show that a dynamical phase is successfully eliminated and a one-qubit quantum gate is realized although the gate fidelity is not high.A proposal for applying nonadiabatic geometric phases to quantum computing, called double-loop method [S.-L. Zhu and Z. D. Wang, Phys. Rev. A 67, 022319 (2003)], is demonstrated in a liquid-state nuclear magnetic-resonance quantum computer. Using a spin-echo technique, the original method is modified so that quantum gates are implemented in a standard high-precision nuclear magnetic-resonance system for chemical analysis. We show that a dynamical phase is successfully eliminated and a one-qubit quantum gate is realized although the gate fidelity is not high.

arXiv:0906.0474Physical Review ANov 10, 200927 citations

\frac{1}{2}

nuclei with different gyromagnetic ratios (i.e., different species) in zero magnetic field, we describe the scheme to realize a set of universal quantum logic gates, e.g., arbitrary single-qubit gates and a two-qubit controlled-not gate. This method allows for universal quantum control in systems which might provide promising applications in materials science, chemistry, biology, quantum information processing, and fundamental physics.