Superconducting quantum circuits, such as the transmon, have multiple quantum states beyond the computational subspace. These states can be populated during quantum logic operations; residual population in such states is known as leakage. While control methods can eliminate this error in ideal systems, in the presence of dephasing, transient population leads to leakage. This dephasing-induced leakage effect is analyzed, both analytically and numerically, for common single- and two-qubit operations used in transmon-based approaches to quantum information processing.

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• Quantum control
• Quantum information architectures & platforms