Multi-target-qubit unconventional geometric phase gate in a multi-cavity system

TL;DR

This paper proposes a simple, efficient multi-target-qubit geometric phase gate in a multi-cavity system, with operation time independent of qubit number, applicable to various qubit types for scalable quantum information processing.

Contribution

It introduces a single-step, multi-target-qubit geometric phase gate in multi-cavity systems that is scalable, versatile, and requires only two levels per qubit, advancing quantum computing capabilities.

Findings

Operation time is independent of the number of qubits.

The scheme is applicable to various qubit types such as atoms, NV centers, and quantum dots.

The gate can be converted into other useful multi-qubit phase gates.

Abstract

Cavity-based large scale quantum information processing (QIP) may involve multiple cavities and require performing various quantum logic operations on qubits distributed in different cavities. Geometric-phase-based quantum computing has drawn much attention recently, which offers advantages against inaccuracies and local fluctuations. In addition, multiqubit gates are particularly appealing and play important roles in QIP. We here present a simple and efficient scheme for realizing a multi-target-qubit unconventional geometric phase gate in a multi-cavity system. This multiqubit phase gate has a common control qubit but different target qubits distributed in different cavities, which can be achieved using a single-step operation. The gate operation time is independent of the number of qubits and only two levels for each qubit are needed. This multiqubit gate is generic, e.g., by performing single-qubit operations, it can be converted into two types of significant multi-target-qubit phase gates useful in QIP and quantum Fourier transform. The proposal is quite general, which can be used to accomplish the same task for a general type of qubits such as atoms, NV centers, quantum dots, and qubits.