Dear IBM Community Members,

I am Jesús Pérez Expolio, the author of the paper 'Topological Stability and Non-Markovian Dynamics in Open Quantum Systems: A Q-SuperEnergy∞ Framework' published on Zenodo (https://doi.org/10.5281/zenodo.16926098). My work focuses on advancing quantum error correction using a novel theoretical framework based on C*-algebras, noncommutative K-theory, and ∞-categories, ensuring topological stability in superconducting qubits under non-Markovian noise.

Given IBM Quantum's pioneering role in quantum error correction and superconducting qubit development, particularly with the Falcon processors, I believe this approach could significantly contribute to building more resilient fault-tolerant quantum systems. Preliminary QuTiP simulations underscore the stability of the proposed framework, preserving K_0 invariants, with potential applications in quantum error correction (QEC) and hybrid quantum architectures.

The estimated IP value for this technology is €860,000–€8,620,000, making it an attractive opportunity for collaboration. I am eager to discuss potential synergies and applications with your team, and have attached the paper for your reference. If there's interest, I can share the QuTiP code upon request.

Could you kindly direct my inquiry to the appropriate groups within IBM Quantum's R&D department? I am available to organize a meeting or further discussion to explore this collaboration opportunity.

Thank you in advance for considering this proposal. I look forward to the prospect of working together to drive the advancements in quantum technology.

Best regards,
Jesús Pérez Expolio
jepex59@hotmail.com

Dear Jesús Pérez Expolio,

Thank you for reaching out and for sharing your recent work on Topological Stability and Non-Markovian Dynamics in Open Quantum Systems: A Q-SuperEnergy∞ Framework. Your approach to quantum error correction using noncommutative K-theory and ∞-categories sounds fascinating, and it's encouraging to see independent research exploring topological stability under non-Markovian conditions.

I appreciate the detailed overview and the potential applications you've outlined for superconducting qubits and hybrid quantum architectures. I'll make sure your inquiry is shared with the relevant teams within IBM Quantum's R&D division who focus on quantum error correction and system architecture.

In the meantime, could you please provide a brief summary (1–2 pages) highlighting your main findings, simulation setup, and potential integration points with current QEC protocols? This will help us better align your proposal with the right technical contacts.

Thank you again for getting in touch and for your interest in collaborating with IBM Quantum.