Cavity-mediated cross-cross-resonance gate

Kavli Affiliate: Oskar Painter

| First 5 Authors: Alexey V. Gorshkov, Daniel Cohen, Arbel Haim, Amit Rotem, Or Golan

| Summary:

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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