Optimization of the resonator-induced phase gate for superconducting
qubits
- URL: http://arxiv.org/abs/2110.01724v1
- Date: Mon, 4 Oct 2021 21:27:02 GMT
- Title: Optimization of the resonator-induced phase gate for superconducting
qubits
- Authors: Moein Malekakhlagh, William Shanks and Hanhee Paik
- Abstract summary: We study the physics of weakly anharmonic transmon qubits coupled to linear resonators.
We show this type of leakage can be substantially suppressed using very weakly anharmonic transmons.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The resonator-induced phase gate is a two-qubit operation in which driving a
bus resonator induces a state-dependent phase shift on the qubits equivalent to
an effective $ZZ$ interaction. In principle, the dispersive nature of the gate
offers flexibility for qubit parameters. However, the drive can cause resonator
and qubit leakage, the physics of which cannot be fully captured using either
the existing Jaynes-Cummings or Kerr models. In this paper, we adopt an
ab-initio model based on Josephson nonlinearity for transmon qubits. The
ab-initio analysis agrees well with the Kerr model in terms of capturing the
effective $ZZ$ interaction in the weak-drive dispersive regime. In addition,
however, it reveals numerous leakage transitions involving high-excitation
qubit states. We analyze the physics behind such novel leakage channels,
demonstrate the connection with specific qubits-resonator frequency collisions,
and lay out a plan towards device parameter optimization. We show this type of
leakage can be substantially suppressed using very weakly anharmonic transmons.
In particular, weaker qubit anharmonicity mitigates both collision density and
leakage amplitude, while larger qubit frequency moves the collisions to occur
only at large anharmonicity not relevant to experiment. Our work is broadly
applicable to the physics of weakly anharmonic transmon qubits coupled to
linear resonators. In particular, our analysis confirms and generalizes the
measurement-induced state transitions noted in Sank et al. (Phys. Rev. Lett.
117, 190503) and lays the groundwork for both strong-drive resonator-induced
phase gate implementation and strong-drive dispersive qubit measurement.
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