Quantum State Transfer Between NV Center -- $13_C$ System Coupled To A CPW Cavity

TL;DR

This paper presents a theoretical model demonstrating high-fidelity quantum state transfer between a cavity and a $13_C$ nuclear spin in an NV center, advancing quantum network and simulation capabilities.

Contribution

It introduces a detailed Hamiltonian-based theoretical framework for quantum state transfer in NV centers coupled to a cavity and nuclear spins.

Findings

High fidelity quantum state transfer achieved with suitable parameters

Analytical and simulation results confirm effective transfer process

Potential for scalable quantum networks and quantum simulation

Abstract

Quantum state transfer is a very important process in building a quantum network when information from flying Qubit is transferred to the stationary Qubit in a node via a quantum state transfer. NV centers due to their long coherence time and the presence of nearby $13_C$ nuclear spin is an excellent candidate for multi-Qubit quantum memory. Here we propose a theoretical description for such a quantum state transfer from a cavity to a nearest neighbour $13_C$ nuclear spin of a single Nitrogen vacancy center in diamond; it shows great potential in realizing scalable quantum networks and quantum simulation. The full Hamiltonian was considered with the zeroth-order and interaction terms in the Hamiltonian and the theory of effective hamiltonian theory was applied. We study the time evolution of the combined cavity-$13_C$ state through analytical calculation and simulation using QuTip. Graphs for state transfer and fidelity measurement are presented here. We show that our theoretical description verifies a high fidelity quantum state transfer from the cavity to $13_C$ center by choosing suitable system parameters.