Estimating the coherence of noise in quantum control of a solid-state qubit

Abstract

To exploit a given physical system for quantum information processing, it is critical to understand the different types of noise affecting quantum control. Distinguishing coherent and incoherent errors is extremely useful as they can be reduced in different ways. Coherent errors are generally easier to reduce at the hardware level, e.g. by improving calibration, whereas some sources of incoherent errors, e.g. T2* processes, can be reduced by engineering robust pulses. In this work, we illustrate how purity benchmarking and randomized benchmarking can be used together to distinguish between coherent and incoherent errors and to quantify the reduction in both of them due to using optimal control pulses and accounting for the transfer function in an electron spin resonance system. We also prove that purity benchmarking provides bounds on the optimal fidelity and diamond norm that can be achieved by correcting the coherent errors through improving calibration.

14 pages, 13 figures. Accepted for publication in PRL

References in corpus (16)

• Randomized Benchmarking of Quantum Gates
• Robust randomized benchmarking of quantum processes
• Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
• Estimating the Coherence of Noise
• Characterizing errors on qubit operations via iterative randomized benchmarking
• Comparing Experiments to the Fault-Tolerance Threshold
• Robust Calibration of a Universal Single-Qubit Gate-Set via Robust Phase Estimation
• Bounding quantum gate error rate based on reported average fidelity
• Universal Control of Nuclear Spins Via Anisotropic Hyperfine Interactions
• Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing
• Qubit metrology of ultralow phase noise using randomized benchmarking
• Non-exponential Fidelity Decay in Randomized Benchmarking with Low-Frequency Noise
• Robust Characterization of Loss Rates
• Hyperfine spin qubits in irradiated malonic acid: heat-bath algorithmic cooling
• Bounding experimental quantum error rates relative to fault-tolerant thresholds
• Randomized benchmarking of quantum gates implemented by electron spin resonance

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• Filter Function Formalism and Software Package to Compute Quantum Processes of Gate Sequences for Classical Non-Markovian Noise