Microstructural Topology as a Prescriptor for Quantum Coherence: Towards A Unified Framework for Decoherence in Superconducting Qubits

Fuente: arXiv
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Main Authors: Dravid, Vinayak P., Murthy, Akshay A., Lim, Peter, Santos, Gabriel T. dos, Mandia, Ramandeep, Rondinelli, James M., Hersam, Mark C., Reis, Roberto dos
Format: Preprint
Published: 2026
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author Dravid, Vinayak P.
Murthy, Akshay A.
Lim, Peter
Santos, Gabriel T. dos
Mandia, Ramandeep
Rondinelli, James M.
Hersam, Mark C.
Reis, Roberto dos
author_facet Dravid, Vinayak P.
Murthy, Akshay A.
Lim, Peter
Santos, Gabriel T. dos
Mandia, Ramandeep
Rondinelli, James M.
Hersam, Mark C.
Reis, Roberto dos
contents In superconducting quantum circuits, decoherence improvements are frequently obtained through process interventions that simultaneously modify surface chemistry, microstructural topology, and device geometry, leaving mechanistic attribution structurally underdetermined. Predictive materials engineering requires measurable structural statistics to be separated from geometry-dependent coupling coefficients into independently testable factors. We introduce the concept of classical and quantum microstructure. In that context, we formulate a channel-wise separable framework for decoherence in superconducting transmon qubits in which each loss channel is described by a reduced prescriptor. Here, a channel-specific microstructural state variable is determined independently of device geometry, and a geometry-dependent coupling functional is computable from field solutions without reference to surface chemistry. We derive this product form from a spatially resolved kernel representation and establish a perturbative separability criterion that defines the regime where independent variation of the variables is valid. The framework specifies five prescriptor classes for dominant loss pathways in transmon-class devices. Falsifiability is operationalized through a pre-committed 2x2 experimental protocol in which the variables must satisfy independent ratio checks within propagated uncertainty. A Minimum-Dataset Specification standardizes reporting for cross-laboratory inference. Part I establishes the conceptual and mathematical architecture; coordinated experimental validation is reserved for Part II.
format Preprint
id arxiv_https___arxiv_org_abs_2604_03951
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Microstructural Topology as a Prescriptor for Quantum Coherence: Towards A Unified Framework for Decoherence in Superconducting Qubits
Dravid, Vinayak P.
Murthy, Akshay A.
Lim, Peter
Santos, Gabriel T. dos
Mandia, Ramandeep
Rondinelli, James M.
Hersam, Mark C.
Reis, Roberto dos
Quantum Physics
Materials Science
In superconducting quantum circuits, decoherence improvements are frequently obtained through process interventions that simultaneously modify surface chemistry, microstructural topology, and device geometry, leaving mechanistic attribution structurally underdetermined. Predictive materials engineering requires measurable structural statistics to be separated from geometry-dependent coupling coefficients into independently testable factors. We introduce the concept of classical and quantum microstructure. In that context, we formulate a channel-wise separable framework for decoherence in superconducting transmon qubits in which each loss channel is described by a reduced prescriptor. Here, a channel-specific microstructural state variable is determined independently of device geometry, and a geometry-dependent coupling functional is computable from field solutions without reference to surface chemistry. We derive this product form from a spatially resolved kernel representation and establish a perturbative separability criterion that defines the regime where independent variation of the variables is valid. The framework specifies five prescriptor classes for dominant loss pathways in transmon-class devices. Falsifiability is operationalized through a pre-committed 2x2 experimental protocol in which the variables must satisfy independent ratio checks within propagated uncertainty. A Minimum-Dataset Specification standardizes reporting for cross-laboratory inference. Part I establishes the conceptual and mathematical architecture; coordinated experimental validation is reserved for Part II.
title Microstructural Topology as a Prescriptor for Quantum Coherence: Towards A Unified Framework for Decoherence in Superconducting Qubits
topic Quantum Physics
Materials Science
url https://arxiv.org/abs/2604.03951