Electric nonadiabatic geometric entangling gates on spin qubits

TL;DR

This paper proposes a method for implementing fast, robust, and electrically controlled nonadiabatic geometric entangling gates on spin qubits, enhancing quantum computation capabilities.

Contribution

It introduces a novel setup for geometric entangling gates on spin qubits that are electrically driven and robust, enabling universal quantum operations.

Findings

Demonstrates a circuit for nonadiabatic holonomic two-qubit entanglers

Gates are fast, electric, and geometric, suitable for quantum algorithms

Shows robustness of the proposed entangling gates

Abstract

Producing and maintaining entanglement reside at the heart of the optimal construction of quan- tum operations and are fundamental issues in the realization of universal quantum computation. We here introduce a setup of spin qubits that allows for geometric implementation of entangling gates between the register qubits with any arbitrary entangling power. We show this by demon- strating a circuit through a spin chain, which performs universal nonadiabatic holonomic two-qubit entanglers. The proposed gates are all electric and geometric, which would help to realize fast and robust entangling gates on spin qubits. This family of entangling gates contains gates that are as efficient as the CNOT gate in quantum algorithms. We examine the robustness of the circuit to some extent.