State leakage during fast decay and control of a superconducting transmon qubit

• URL: http://arxiv.org/abs/2011.10442v1
• Date: Fri, 20 Nov 2020 15:13:50 GMT
• Title: State leakage during fast decay and control of a superconducting transmon qubit
• Authors: Aravind Plathanam Babu, Jani Tuorila, Tapio Ala-Nissila
• Abstract summary: We study the dynamics and control of a superconducting transmon using the numerically exact Liouville-von Neumann equation approach. We find significant short-time state leakage due to the strong coupling to the bath.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Superconducting Josephson junction qubits constitute the main current technology for many applications, including scalable quantum computers and thermal devices. Theoretical modeling of such systems is usually done within the two-level approximation. However, accurate theoretical modeling requires taking into account the influence of the higher excited states without limiting the system to the two-level qubit subspace. Here, we study the dynamics and control of a superconducting transmon using the numerically exact stochastic Liouville-von Neumann equation approach. We focus on the role of state leakage from the ideal two-level subspace for bath induced decay and single-qubit gate operations. We find significant short-time state leakage due to the strong coupling to the bath. We quantify the leakage errors in single-qubit gates and demonstrate their suppression with DRAG control for a five-level transmon in the presence of decoherence. Our results predict the limits of accuracy of the two-level approximation and possible intrinsic constraints in qubit dynamics and control for an experimentally relevant parameter set.

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