Cavity-mediated cross-cross-resonance gate

• URL: http://arxiv.org/abs/2506.03239v1
• Date: Tue, 03 Jun 2025 18:00:00 GMT
• Title: Cavity-mediated cross-cross-resonance gate
• Authors: Alexey V. Gorshkov, Daniel Cohen, Arbel Haim, Amit Rotem, Or Golan, Gihwan Kim, Andreas Butler, Connor T. Hann, Oskar Painter, Fernando G. S. L. Brandão, Alex Retzker,
• Abstract summary: We propose a cavity-mediated gate between two transmon qubits or other nonlinear superconducting elements.<n>The gate is realized by driving both qubits at a frequency that is near-resonant with the frequency of the cavity.
• Score: 35.04488856446685
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a cavity-mediated gate between two transmon qubits or other nonlinear superconducting elements. The gate is realized by driving both qubits at a frequency that is near-resonant with the frequency of the cavity. Since both qubits are subject to a cross-resonant drive, we call this gate a cross-cross-resonance gate. In close analogy with gates between trapped-ion qubits, in phase space, the state of the cavity makes a circle whose area depends on the state of the two qubits, realizing a controlled-phase gate. We propose two schemes for canceling the dominant error, which is the dispersive coupling. We also show that this cross-cross-resonance gate allows one to realize simultaneous gates between multiple pairs of qubits coupled via the same metamaterial composed of an array of coupled cavities or other linear mediators.

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