Precise characterization of a hyperfine interaction is a prerequisite for high fidelity manipulations of electron and nuclear spins belonging to a hybrid qubit register in diamond. Here, we demonstrate a novel scheme for determining a hyperfine interaction, using single-quantum and zero-quantum Ramsey fringes, by applying it to the system of a Nitrogen Vacancy (NV) center and a $^{13}$ C nuclear spin in the 1 $^{\mathrm{st}}$ shell. The zero-quantum Ramsey fringe, analogous to the quantum beat in a $Λ$ -type level structure, particularly enhances the measurement precision for non-secular hyperfine terms. Precisions less than 0.5 MHz in the estimation of all the components in the hyperfine tensor were achieved. Furthermore, for the first time we experimentally determined the principal axes of the hyperfine interaction in the system. Beyond the 1 $^{\mathrm{st}}$ shell, this method can be universally applied to other $^{13}$ C nuclear spins interacting with the NV center.Precise characterization of a hyperfine interaction is a prerequisite for high fidelity manipulations of electron and nuclear spins belonging to a hybrid qubit register in diamond. Here, we demonstrate a novel scheme for determining a hyperfine interaction, using single-quantum and zero-quantum Ramsey fringes, by applying it to the system of a Nitrogen Vacancy (NV) center and a $^{13}$C nuclear spin in the 1$^{\mathrm{st}}$ shell. The zero-quantum Ramsey fringe, analogous to the quantum beat in a $Λ$-type level structure, particularly enhances the measurement precision for non-secular hyperfine terms. Precisions less than 0.5 MHz in the estimation of all the components in the hyperfine tensor were achieved. Furthermore, for the first time we experimentally determined the principal axes of the hyperfine interaction in the system. Beyond the 1$^{\mathrm{st}}$ shell, this method can be universally applied to other $^{13}$C nuclear spins interacting with the NV center.

arXiv:1307.0257Jul 1, 20134 citations

Measurement of a Diamagnetic Shift in Atomic Hyperfine Structure

Nicholas P. Economou, Steven J. Lipson, Daniel J. Larson

Springer series in optical sciences/SPringer series in optical sciencesJan 1, 19770 citations

Quantum measurement of hyperfine interaction in nitrogen-vacancy center

Kilhyun Bang, Wen Li Yang, Lu Jeu Sham

We propose an efficient quantum measurement protocol for the hyperfine interaction between the electron spin and the $^{15}$ N nuclear spin of a diamond nitrogen-vacancy center. In this protocol, a sequence of quantum operations of successively increasing duration is utilized to estimate the hyperfine interaction with successively higher precision approaching the quantum metrology limit. This protocol does not need the preparation of the nuclear spin state. In the presence of realistic operation errors and electron spin decoherence, the overall precision of our protocol still surpasses the standard quantum limit.We propose an efficient quantum measurement protocol for the hyperfine interaction between the electron spin and the $^{15}$N nuclear spin of a diamond nitrogen-vacancy center. In this protocol, a sequence of quantum operations of successively increasing duration is utilized to estimate the hyperfine interaction with successively higher precision approaching the quantum metrology limit. This protocol does not need the preparation of the nuclear spin state. In the presence of realistic operation errors and electron spin decoherence, the overall precision of our protocol still surpasses the standard quantum limit.

arXiv:1205.5076May 23, 20120 citations

Hyperfine Interactions of Interacting Atoms.

Supriya Ray

Jan 1, 19680 citations

^{13}

C nuclear spin in the 1

^{\mathrm{st}}

shell. The zero-quantum Ramsey fringe, analogous to the quantum beat in a

Λ

-type level structure, particularly enhances the measurement precision for non-secular hyperfine terms. Precisions less than 0.5 MHz in the estimation of all the components in the hyperfine tensor were achieved. Furthermore, for the first time we experimentally determined the principal axes of the hyperfine interaction in the system. Beyond the 1

^{\mathrm{st}}

shell, this method can be universally applied to other

^{13}

C nuclear spins interacting with the NV center.

We propose an efficient quantum measurement protocol for the hyperfine interaction between the electron spin and the

^{15}

N nuclear spin of a diamond nitrogen-vacancy center. In this protocol, a sequence of quantum operations of successively increasing duration is utilized to estimate the hyperfine interaction with successively higher precision approaching the quantum metrology limit. This protocol does not need the preparation of the nuclear spin state. In the presence of realistic operation errors and electron spin decoherence, the overall precision of our protocol still surpasses the standard quantum limit.