Advanced master-equation modelling of driven quantum systems subject tospatio-temporal correlated noise
Abstract
The lack of accurate, scalable theoretical approaches for modelling non-Markovian noise and dissipation is a major limitation in designing robust quantum-information processors. We propose leveraging recent theoretical advances to develop a new class of easily solvable time-local master equations. These will enable the accurate description of driven multi-qubit systems that are subject to noise and dissipation with non-trivial temporal and spatial correlations. We will explore the basic structure and symmetries of these master equations in the multi-qubit setting, explore methods for extending the approach to strong driving using Floquet theory, and study strong-dissipation regimes using diagrammatic partial-resummation techniques. We will also extend these techniques to nonqubit systems, whether they be complex multi-level systems (i.e. next generation superconducting qubits like fluxonium) or bosonic systems (as used, e.g., in bosonic error-correction platforms). Basic approach and methodology: We will adopt well-established analytical methods (cumulant and perturbative expansions, Magnus expansion etc.) for the derivation and analysis of efficient time-local master equations capturing correlations in space and time. For numerical simulations, we will employ established numerical packages such as QuTiP, and develop new and optimized code as needed. Team: Our team includes two theoretical groups: Aashish Clerk (PI), University of Chicago, and Jens Koch (co-PI), Northwestern University. Clerk and Koch have a recent history of productive collaboration that established the scientific groundwork for the project proposed here. Significance to the Advancement of Knowledge: Progress towards impactful quantum technology is guided by theoretical and numerical capabilities to simulate prototype systems accurately. Especially in the context of quantum computing, noise plays a critical and limiting role as it introduces computational errors that must be mitigated or detected and corrected. Currently, only a subset of simplified error channels is accurately handled by Lindblad master equation simulations. Results from the proposed project will shed light on realistic noise sources which include non-trivial correlations in space and time. The theoretical framework and numerical toolbox to be created as part of this project will supply new capabilities for informing and guiding the advance of quantum-computing hardware.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Apr 19, 2023
- Source ID
- W911NF2310116
Entities
People
- Aashish Clerk
Organizations
- Army Contracting Command
- National Security Agency
- University of Chicago