Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Magnetic Resonance

Dynamic evolution for liquid-state nuclear spins and Berry phase of mixed state in a magnetic resonance

Hualan Xu, Dan Fu, Zisheng Wang, Hui Pan

Published Jul 20, 2012• 12 citations
Publisher
DOI
10.1016/j.jmr.2012.07.009

Related papers

Berry phase in spinning nuclear magnetic resonance

Kazuya Harii

The Japan Society of Applied Physics•Aug 7, 2014•0 citations

The Berry Phase and the Nuclear Magnetic Resonance

José M. Cerveró

International Journal of Applied Physics•Nov 25, 2020•0 citations

Bloch-Siegert Shift and Berry Phase Effect in Nuclear Magnetic Resonance

G. B. Furman, I. M. Kadzhaya

Journal of Magnetic Resonance Series A•Oct 1, 1993•7 citations

Nonadiabatic Berry’s phase for a spin particle in a rotating magnetic field

Shun-Jin Wang

The time-dependent Schr\"odinger equation for a spin particle in a rotating magnetic field is solved analytically by the cranking method, and the exact solutions are employed to study the nonadiabatic Berry's phase. An alternative expression for Berry's phase is given, which shows that Berry's phase is related to the expectation value of spin along the rotating axis and gives Berry's phase a physical explanation besides its gauge geometric interpretation. This expression also presents a simple algorithm for calculating the nonadiabatic Berry's phase for Hamiltonians that are nonlinear functions of the SU(2) generators. It is shown that nonadiabaticity alters the time evolution ray and in turn changes its Berry's phase. For the SU(2) dynamical group, the nonadiabatic effect on Berry's phase manifests itself as spin alignment (a phenomenon in nuclear physics), and spin-alignment quantization (observed recently in high-spin nuclear physics) is related to Berry's-phase quantization.

Physical Review A•Nov 1, 1990•89 citations

Quantum state engineering with spins

Andreas Heidebrecht, Jens Mende, M. Mehring

Abstract Magnetic resonance methods and in particular Nuclear Magnetic Resonance in the liquid state were the first experimental techniques to implement quantum computing algorithms. The main drawbacks of these methods sofar have been the highly mixed nature of the quantum states and scalability issues. Recently, efforts have been made to address these problems by applying magnetic resonance to solid state systems at lower temperatures. In this contribution, we give an overview of our results on accurately controlling and measuring the quantum state of spin systems in the liquid and in particular in the solid state at low temperatures using Nuclear Magnetic Resonance and Electron Spin Resonance.

Fortschritte der Physik•Aug 1, 2006•9 citations

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.

arXiv:0906.0474•Physical Review A•Nov 10, 2009•27 citations
The time-dependent Schr\"odinger equation for a spin particle in a rotating magnetic field is solved analytically by the cranking method, and the exact solutions are employed to study the nonadiabatic Berry's phase. An alternative expression for Berry's phase is given, which shows that Berry's phase is related to the expectation value of spin along the rotating axis and gives Berry's phase a physical explanation besides its gauge geometric interpretation. This expression also presents a simple algorithm for calculating the nonadiabatic Berry's phase for Hamiltonians that are nonlinear functions of the SU(2) generators. It is shown that nonadiabaticity alters the time evolution ray and in turn changes its Berry's phase. For the SU(2) dynamical group, the nonadiabatic effect on Berry's phase manifests itself as spin alignment (a phenomenon in nuclear physics), and spin-alignment quantization (observed recently in high-spin nuclear physics) is related to Berry's-phase quantization.
Abstract Magnetic resonance methods and in particular Nuclear Magnetic Resonance in the liquid state were the first experimental techniques to implement quantum computing algorithms. The main drawbacks of these methods sofar have been the highly mixed nature of the quantum states and scalability issues. Recently, efforts have been made to address these problems by applying magnetic resonance to solid state systems at lower temperatures. In this contribution, we give an overview of our results on accurately controlling and measuring the quantum state of spin systems in the liquid and in particular in the solid state at low temperatures using Nuclear Magnetic Resonance and Electron Spin Resonance.
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.