High-fidelity CZ gate for resonator-based superconducting quantum computers

TL;DR

This paper demonstrates a high-fidelity controlled-Z (CZ) gate between a superconducting qubit and a resonator bus, achieving over 99.9% fidelity in under 20 nanoseconds, advancing scalable quantum computing architectures.

Contribution

It introduces a method to implement a fast, high-fidelity qubit-bus CZ gate using low frequency control and the non-computational |2> state, applicable to resonator-based superconducting quantum computers.

Findings

Achieves 99.9% fidelity in 17 ns with realistic pulse profiles

Identifies dominant intrinsic error mechanisms and their impact

Shows feasibility of implementing high-fidelity CZ gates with existing transmon qubits

Abstract

A possible building block for a scalable quantum computer has recently been demonstrated [M. Mariantoni et al., Science 334, 61 (2011)]. This architecture consists of superconducting qubits capacitively coupled both to individual memory resonators as well as a common bus. In this work we study a natural primitive entangling gate for this and related resonator-based architectures, which consists of a CZ operation between a qubit and the bus. The CZ gate is implemented with the aid of the non-computational qubit |2> state [F. W. Strauch et al., Phys. Rev. Lett. 91, 167005 (2003)]. Assuming phase or transmon qubits with 300 MHz anharmonicity, we show that by using only low frequency qubit-bias control it is possible to implement the qubit-bus CZ gate with 99.9% (99.99%) fidelity in about 17ns (23ns) with a realistic two-parameter pulse profile, plus two auxiliary z rotations. The fidelity measure we refer to here is a state-averaged intrinsic process fidelity, which does not include any effects of noise or decoherence. These results apply to a multi-qubit device that includes strongly coupled memory resonators. We investigate the performance of the qubit-bus CZ gate as a function of qubit anharmonicity, indentify the dominant intrinsic error mechanism and derive an associated fidelity estimator, quantify the pulse shape sensitivity and precision requirements, simulate qubit-qubit CZ gates that are mediated by the bus resonator, and also attempt a global optimization of system parameters including resonator frequencies and couplings. Our results are relevant for a wide range of superconducting hardware designs that incorporate resonators and suggest that it should be possible to demonstrate a 99.9% CZ gate with existing transmon qubits, which would constitute an important step towards the development of an error-corrected superconducting quantum computer.