Optimal dynamical decoupling in the presence of colored control noise

Abstract

An optimal dynamical decoupling of a quantum system coupled to a noisy environment must take into account also the imperfections of the control pulses. We present a new formalism which describes, in a closed-form expression, the evolution of the system, including the spectral function of both the environment and control noise. We show that by measuring these spectral functions, our expression can be used to optimize the decoupling pulse sequence. We demonstrate this approach with an ensemble of optically trapped ultra-cold Rubidium atoms, and use quantum process tomography to identify the effect of the environment and control noise. Our approach is applicable and important for any realistic implementation of quantum information processing.

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Cited by in corpus (6)

• Assessment of a silicon quantum dot spin qubit environment via noise spectroscopy
• Optimally band-limited spectroscopy of control noise using a qubit sensor
• Protecting Quantum Information via Destructive Interference of Correlated Noise
• Real-time feedback protocols for optimizing fault-tolerant two-qubit gate fidelities in a silicon spin system
• Indications of a soft cutoff frequency in the charge noise of a Si/SiGe quantum dot spin qubit
• Wavelet correlation noise analysis for qubit operation variable time series