Measurement-based quantum computation utilizing the graph states of Bose-Einstein condensates and continuous variables

TL;DR

This paper explores measurement-based quantum computation using graph states of Bose-Einstein condensates and continuous variables, demonstrating the feasibility of arbitrary rotations on the Bloch sphere for BECs qubits.

Contribution

It introduces a method to perform arbitrary Bloch sphere rotations in BECs qubits via composite graph states involving CV and BECs qubits.

Findings

Demonstrated arbitrary rotations on the Bloch sphere for BECs qubits.

Established the use of composite graph states with CV and BECs qubits.

Extended MBQC protocols to include BECs and continuous variables.

Abstract

Measurement-based quantum computation (MBQC) is a protocol for quantum computation that represents a model distinct from the circuit-based approach. MBQC has been proposed not only for qubits but also for qudits, continuous-variable (CV) qubits, and Bose-Einstein condensates (BECs) qubits. In qubit-based MBQC, arbitrary rotations on the Bloch sphere can be performed by measuring a graph state. This naturally raises the question of whether arbitrary rotations on the Bloch sphere can similarly be achieved through measurements in other types of quantum bits. We have demonstrated that this can indeed be realized for BECs qubits by considering composite graph states involving CV qubits and BECs qubits.