Efficient Self-Consistent Quantum Comb Tomography on the Product Stiefel Manifold

• URL: http://arxiv.org/abs/2512.00875v1
• Date: Sun, 30 Nov 2025 12:47:45 GMT
• Title: Efficient Self-Consistent Quantum Comb Tomography on the Product Stiefel Manifold
• Authors: Xinlin He, Zetong Li, Congcong Zheng, Sixuan Li, Xutao Yu, Zaichen Zhang,
• Abstract summary: We propose a self-consistent framework that unifies the quantum comb, instrument set, and initial states into a single geometric entity.<n>Our work indicates the potential to efficiently learn quantum comb with fewer computational resources.
• Score: 13.54023142671531
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Characterizing non-Markovian quantum dynamics is currently hindered by the self-inconsistency and high computational complexity of existing quantum comb tomography (QCT) methods. In this work, we propose a self-consistent framework that unifies the quantum comb, instrument set, and initial states into a single geometric entity, termed as the Comb-Instrument-State (CIS) set. We demonstrate that the CIS set naturally resides on a product Stiefel manifold, allowing the tomography problem to be solved via efficient unconstrained Riemannian optimization while automatically preserving physical constraints. Numerical simulations confirm that our approach is computationally scalable and robust against gate definition errors, significantly outperforming conventional isometry-based QCT methods. Our work indicates the potential to efficiently learn quantum comb with fewer computational resources.

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