Microwave-activated gates between a fluxonium and a transmon qubit

We propose and analyze two types of microwave-activated gates between a fluxonium and a transmon qubit, namely a cross-resonance (CR) and a CPHASE gate. The large frequency difference between a transmon and a fluxonium makes the realization of a two-qubit gate challenging. For a medium-frequency flu...

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Main Authors: A. Ciani, B. M. Varbanov, N. Jolly, C. K. Andersen, B. M. Terhal
Format: Article
Language:English
Published: American Physical Society 2022-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.043127
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author A. Ciani
B. M. Varbanov
N. Jolly
C. K. Andersen
B. M. Terhal
author_facet A. Ciani
B. M. Varbanov
N. Jolly
C. K. Andersen
B. M. Terhal
author_sort A. Ciani
collection DOAJ
description We propose and analyze two types of microwave-activated gates between a fluxonium and a transmon qubit, namely a cross-resonance (CR) and a CPHASE gate. The large frequency difference between a transmon and a fluxonium makes the realization of a two-qubit gate challenging. For a medium-frequency fluxonium qubit, the transmon-fluxonium system allows for a cross-resonance effect mediated by the higher levels of the fluxonium over a wide range of transmon frequencies. This allows one to realize the cross-resonance gate by driving the fluxonium at the transmon frequency, mitigating typical problems of the cross-resonance gate in transmon-transmon chips related to frequency targeting and residual ZZ coupling. However, when the fundamental frequency of the fluxonium enters the low-frequency regime below 100MHz, the cross-resonance effect decreases leading to long gate times. For this range of parameters, a fast microwave CPHASE gate can be implemented using the higher levels of the fluxonium. In both cases, we perform numerical simulations of the gate showing that a gate fidelity above 99% can be obtained with gate times between 100 and 300ns. Next to a detailed gate analysis, we perform a study of chip yield for a surface code lattice of fluxonia and transmons interacting via the proposed cross-resonance gate. We find a much better yield as compared to a transmon-only architecture with the cross-resonance gate as native two-qubit gate.
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spelling doaj.art-6a0fc2c6f42641deb72c97aa4d22aea82024-04-12T17:26:22ZengAmerican Physical SocietyPhysical Review Research2643-15642022-11-014404312710.1103/PhysRevResearch.4.043127Microwave-activated gates between a fluxonium and a transmon qubitA. CianiB. M. VarbanovN. JollyC. K. AndersenB. M. TerhalWe propose and analyze two types of microwave-activated gates between a fluxonium and a transmon qubit, namely a cross-resonance (CR) and a CPHASE gate. The large frequency difference between a transmon and a fluxonium makes the realization of a two-qubit gate challenging. For a medium-frequency fluxonium qubit, the transmon-fluxonium system allows for a cross-resonance effect mediated by the higher levels of the fluxonium over a wide range of transmon frequencies. This allows one to realize the cross-resonance gate by driving the fluxonium at the transmon frequency, mitigating typical problems of the cross-resonance gate in transmon-transmon chips related to frequency targeting and residual ZZ coupling. However, when the fundamental frequency of the fluxonium enters the low-frequency regime below 100MHz, the cross-resonance effect decreases leading to long gate times. For this range of parameters, a fast microwave CPHASE gate can be implemented using the higher levels of the fluxonium. In both cases, we perform numerical simulations of the gate showing that a gate fidelity above 99% can be obtained with gate times between 100 and 300ns. Next to a detailed gate analysis, we perform a study of chip yield for a surface code lattice of fluxonia and transmons interacting via the proposed cross-resonance gate. We find a much better yield as compared to a transmon-only architecture with the cross-resonance gate as native two-qubit gate.http://doi.org/10.1103/PhysRevResearch.4.043127
spellingShingle A. Ciani
B. M. Varbanov
N. Jolly
C. K. Andersen
B. M. Terhal
Microwave-activated gates between a fluxonium and a transmon qubit
Physical Review Research
title Microwave-activated gates between a fluxonium and a transmon qubit
title_full Microwave-activated gates between a fluxonium and a transmon qubit
title_fullStr Microwave-activated gates between a fluxonium and a transmon qubit
title_full_unstemmed Microwave-activated gates between a fluxonium and a transmon qubit
title_short Microwave-activated gates between a fluxonium and a transmon qubit
title_sort microwave activated gates between a fluxonium and a transmon qubit
url http://doi.org/10.1103/PhysRevResearch.4.043127
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