Possible implementation of adiabatic quantum algorithm with superconducting flux qubits

TL;DR

This paper proposes a new quantum nondemolition measurement scheme using an LC transducer for superconducting flux qubits, enabling adiabatic quantum algorithms like MAXCUT to be implemented with minimal disturbance.

Contribution

It introduces a novel measurement method compatible with adiabatic quantum computation in superconducting flux qubits, extendable to multi-qubit systems.

Findings

Effective monitoring of adiabatic evolution using LC transducer

Feasible implementation of MAXCUT algorithm with three qubits

Extension of measurement scheme to multi-qubit systems

Abstract

We show that an LC parametric transducer can be effectively used to monitor an adiabatic evolution of the superconducting flux qubit. We propose a new scheme to measure the qubit's state, which is a quantum nondemolition measurement. The scheme can be easily extended to a three-qubit system, and allows the reading out of the qubits' states while the system remains in the ground state. An implementation of the adiabatic quantum algorithm MAXCUT for three superconducting flux qubits is discussed.