Three qubit Grover's algorithm using superconducting quantum interference devices in cavity QED

TL;DR

This paper proposes a fast, high-fidelity implementation of three-qubit Grover's algorithm using superconducting SQUIDs in cavity QED, avoiding complex adjustments and tolerating dissipation.

Contribution

It introduces a novel scheme for three-qubit Grover's algorithm with superconducting SQUIDs that simplifies operations and enhances speed and robustness.

Findings

Achieves high-fidelity search of the marked state

Does not require adjustment of SQUID level spacing during operations

Maintains performance despite level decay and cavity dissipation

Abstract

We present a scheme for the implementation of three qubit Grover's algorithm using four-level superconducting quantum interference devices (SQUIDs) coupled to a superconducting resonator. The scheme is based on resonant, off-resonant interaction of the cavity field with SQUIDs and the application of classical microwave pulses. We show that adjustment of SQUID level spacing during the gate operations, adiabatic passage, and second-order detuning are not required that leads to faster implementation. We also show that the marked state can be searched with high fidelity even in the presence of level decay and cavity dissipation.