Initial Correlations and Time-Retarded Noise in Dynamical Decoupling Schemes for Superconducting Qubits

• URL: http://arxiv.org/abs/2408.15277v1
• Date: Wed, 14 Aug 2024 09:23:49 GMT
• Title: Initial Correlations and Time-Retarded Noise in Dynamical Decoupling Schemes for Superconducting Qubits
• Authors: Kiyoto Nakamura, Joachim Ankerhold,
• Abstract summary: dynamical decoupling (DD) is investigated for a broad range of realistic noise sources with time-retarded feedback. DD is one of the simplest and least resource-intensive methods to suppress decoherence for superconducting qubit operations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: One of the simplest and least resource-intensive methods to suppress decoherence for superconducting qubit operations, namely, dynamical decoupling (DD), is investigated for a broad range of realistic noise sources with time-retarded feedback. By way of example, the Carr-Purcell-Meiboom-Gill (CPMG) sequence is analyzed in a numerically rigorous manner accounting also for correlations between qubit and environment. Since experimentally noise sources are characterized through spectral densities, we adopt the spin-boson model as a suitable platform to describe the qubit dynamics under DD for a given spectral density $J(\omega) \propto \omega^s$. To cover a broad range of noise sources, the spectral exponent $s$ is varied from $s=1$ (Ohmic bath) to a substantially small value $0 < s \ll 1$ (deep sub-Ohmic bath), in order to investigate the impact of time-nonlocal back action on DD performances for enhanced coherence times. As reference to the DD schemes, dynamics of a single qubit subject to Ramsey sequences without any pules and Hahn echo (HE) sequences are also investigated.

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