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.

References in corpus (12)

• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Fault-Tolerant Quantum Dynamical Decoupling
• Robust dynamical decoupling for quantum computing and quantum memory
• Single Ion Quantum Lock-In Amplifier
• Arbitrary quantum control of qubits in the presence of universal noise
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Local observation of antibunching in a trapped Fermi gas
• Direct Measurement of the System-Environment Coupling as a Tool For Understanding Decoherence and Dynamical Decoupling
• Process tomography of dynamical decoupling in a dense optically trapped atomic ensemble
• Long-time Low-latency Quantum Memory by Dynamical Decoupling
• Addressing Two-Level Systems Variably Coupled to an Oscillating Field
• Lindbladians for controlled stochastic Hamiltonians

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