Spectral Transfer Tensor Method for Non-Markovian Noise Characterization

Abstract

With continuing improvements on the quality of fabricated quantum devices, it becomes increasingly crucial to analyze noisy quantum process in greater details such as characterizing the non-Markovianity in a quantitative manner. In this work, we propose an experimental protocol, termed Spectral Transfer Tensor Maps (SpecTTM), to accurately predict the RHP non-Markovian measure of any Pauli channels without state-preparation and measurement (SPAM) errors. In fact, for Pauli channels, SpecTTM even allows the reconstruction of highly-precised noise power spectrum for qubits. At last, we also discuss how SpecTTM can be useful to approximately characterize non-Markovianity of non-Pauli channels via Pauli twirling in an optimal basis.

References in corpus (10)

• Quantum Computing in the NISQ era and beyond
• Entanglement and non-Markovianity of quantum evolutions
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
• Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
• Non-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectories
• Efficient error models for fault-tolerant architectures and the Pauli twirling approximation
• Quantum process tomography of two-qubit controlled-Z and controlled-NOT gates using superconducting phase qubits
• Quantum State and Process Tomography of Energy Transfer Systems via Ultrafast Spectroscopy
• Compressed sensing quantum process tomography for superconducting quantum gates
• Two-qubit decoherence mechanisms revealed via quantum process tomography