Measurement-based quantum computation using two-component BECs

TL;DR

This paper introduces a measurement-based quantum computing scheme utilizing two-component Bose-Einstein condensates, where graph states are generated and logical qubits manipulated through particle-dependent measurements, offering a new approach to quantum computation.

Contribution

It presents a novel MBQC method using two-component BECs, including graph state generation and CZ gate implementation, with a focus on particle number dependence.

Findings

Graph states are naturally formed in two-component BECs.

Arbitrary logical qubit states can be achieved via three-body measurements.

CZ gates can be implemented on BEC components and logical qubits.

Abstract

In this paper, we propose measurement-based quantum computation (MBQC) using two-component Bose-Einstein condensates (BECs). Graph states are naturally introduced by analogy with the qubit case. An arbitrary state of one logical qubit can be obtained through a three-body measurement. Furthermore, we propose methods for implementing CZ gates on the components of coherent states of BECs in a graph state, as well as CZ gates on logical qubits. A distinctive feature of our approach is that the post-measurement state is shown to depend on the particle number. These results suggest a novel quantum computing process based on particle control.