Predicting non-Markovian superconducting qubit dynamics from tomographic reconstruction

Abstract

Non-Markovian noise presents a particularly relevant challenge in understanding and combating decoherence in quantum computers, yet is challenging to capture in terms of simple models. Here we show that a simple phenomenological dynamical model known as the post-Markovian master equation (PMME) accurately captures and predicts non-Markovian noise in a superconducting qubit system. The PMME is constructed using experimentally measured state dynamics of an IBM Quantum Experience cloud-based quantum processor, and the model thus constructed successfully predicts the non-Markovian dynamics observed in later experiments. The model also allows the extraction of information about cross-talk and measures of non-Markovianity. We demonstrate definitively that the PMME model predicts subsequent dynamics of the processor better than the standard Markovian master equation.

arXiv commentComments welcome

References in corpus (45)

• Decoherence, einselection, and the quantum origins of the classical
• Surface codes: Towards practical large-scale quantum computation
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Error mitigation for short-depth quantum circuits
• Predicting Many Properties of a Quantum System from Very Few Measurements
• Open Quantum Systems. An Introduction
• Prescription for experimental determination of the dynamics of a quantum black box
• Quantum Error Correction for Beginners
• 1/f noise: implications for solid-state quantum information
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Non-Markovian quantum processes: complete framework and efficient characterisation
• Fault-tolerant quantum computation with long-range correlated noise
• Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
• Detecting crosstalk errors in quantum information processors
• Optimal state pairs for non-Markovian quantum dynamics
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Suppression of crosstalk in superconducting qubits using dynamical decoupling
• Direct Characterization of Quantum Dynamics
• Demonstration of non-Markovian process characterisation and control on a quantum processor
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Quantum process tomography and Linblad estimation of a solid state qubit
• Combining dynamical decoupling with fault-tolerant quantum computation
• Machine learning non-Markovian quantum dynamics
• A Robust Method for Estimating the Lindblad Operators of a Dissipative Quantum Process from Measurements of the Density Operator at Multiple Time Points
• Using a Recurrent Neural Network to Reconstruct Quantum Dynamics of a Superconducting Qubit from Physical Observations
• Lecture Notes on the Theory of Open Quantum Systems
• Integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits
• Exact closed master equation for Gaussian non-Markovian dynamics
• Fault-tolerant quantum computing with color codes
• Benchmarking the noise sensitivity of different parametric two-qubit gates in a single superconducting quantum computing platform
• Non-Markovian qubit dynamics in the presence of 1/f noise
• Modelling Non-Markovian Quantum Processes with Recurrent Neural Networks
• Fault-tolerant quantum computation versus Gaussian noise
• Experimental Characterization of Crosstalk Errors with Simultaneous Gate Set Tomography
• Experimental quantum verification in the presence of temporally correlated noise
• Conditions for strictly purity-decreasing quantum Markovian dynamics
• Lindblad Tomography of a Superconducting Quantum Processor
• Markovian embedding of non-Markovian quantum collisional models
• Non-Markovian dynamics of a superconducting qubit in an open multimode resonator
• Stability of noisy quantum computing devices
• An inverse-system method for identification of damping rate functions in non-Markovian quantum systems
• Non-Markovianity of the Post Markovian Master Equation
• Unboxing Quantum Black Box Models: Learning Non-Markovian Dynamics
• Quantify the Non-Markovian Process with Intervening Projections in a Superconducting Processor

Cited by in corpus (19)

• Quantum Crosstalk Robust Quantum Control
• Simple master equations for describing driven systems subject to classical non-Markovian noise
• Characterizing the Reproducibility of Noisy Quantum Circuits
• Analyzing the impact of time-correlated noise on zero-noise extrapolation
• Dissipative Dynamics of Graph-State Stabilizers with Superconducting Qubits
• Markovian and non-Markovian master equations versus an exactly solvable model of a qubit in a cavity
• Benchmarking quantum gates and circuits
• Modeling error correction with Lindblad dynamics and approximate channels
• Master Equation Emulation and Coherence Preservation with Classical Control of a Superconducting Qubit
• Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
• Empirical learning of dynamical decoupling on quantum processors
• Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
• Nature and origin of the operators entering the master equation of an open quantum system
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Continuous quantum correction on Markovian and Non-Markovian models
• Lindbladian reverse engineering for general non-equilibrium steady states: A scalable null-space approach
• Data-Efficient Quantum Noise Modeling via Machine Learning
• Spectral analysis of the Koopman operator as a framework for recovering Hamiltonian parameters in open quantum systems