# $C^{12}-C^{13}$ Quantum computer with longitudinal rf-magnetic field

## TL;DR

This paper demonstrates how to implement fundamental quantum operations and teleportation in a diamond structure with a linear chain of $C^{13}$ atoms using a specific magnetic field configuration.

## Contribution

It introduces a novel method for quantum computing in diamond structures utilizing longitudinal rf-magnetic fields for key quantum gates and teleportation.

## Key findings

- Successful realization of single-qubit rotations.
- Implementation of CNOT and CCNOT gates.
- Feasibility of quantum teleportation in the described system.

## Abstract

It is shown that in the diamond $C^{12}$ structure with a linear chain of $C^{13}$ atoms which is inside a transverse static field, having a gradient along the linear chain and an rf-magnetic field in a plane with a component in the direction of the static field, one qubit rotation, the Controlled-Not (CNOT), the Controlled-Controlled-NoT (CCNOT) quantum gates, and teleportation algorithm.