Research output

Publications

My work connects geometry, quantum information, and computation—from constructing hyperbolic quantum codes to designing experimentally accessible quantum simulators.

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Peer reviewed

Journal article

Physical Review A 113, 042426 · 2026

Systematic Approach to Hyperbolic Quantum Error Correction Codes

Ahmed Adel Mahmoud, Karim M. Ali, and Steven Rayan

A systematic computational framework for constructing, simulating, and benchmarking topological CSS codes on periodic hyperbolic lattices.

Journal article Code

Current work

Preprints

arXiv:2603.27004 · 2026

Hyperbolic Cluster States for Fault-Tolerant Measurement-Based Quantum Computing

Ahmed Adel Mahmoud, Guillaume Tournaire, Sven Bachmann, and Steven Rayan

Hyperbolic resource states and decoding strategies for scalable, fault-tolerant measurement-based quantum computation.

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arXiv:2510.23827 · 2025 · Joint first author

A Scalable Superconducting Circuit Framework for Emulating Physics in Hyperbolic Space

Xi-cheng Xu^*, Ahmed Adel Mahmoud^*, Nathan Gorgichuk, Ronny Thomale, Steven Rayan, and Matteo Mariantoni

A scalable superconducting-circuit architecture for experimentally accessible emulation of hyperbolic and kagome-like lattice physics.

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^*Joint first authors.