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Author

Steven Rayan

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Preprint Aug 2026

Rethinking Quantum Circuits

These notes develop four interconnected ways of reading a quantum circuit. A circuit for us begins as an operational composition of gates; then, it becomes a diagram whose local equalities may be used as calculations; next, it becomes a protected process once errors, syndromes, and logical degrees of freedom are separa...

Steven Rayan · 0 citations
Preprint Sep 2026

Topological Band Theory for High-Dimensional Parameter Spaces

We study the topological band theory of quantum Hall systems in which the adiabatic flux parameters of an external gauge potential form a high-dimensional manifold. This situation arises both for strongly correlated matter on spatial Riemann surfaces of genus $g>1$, as well as in the formal study of matter on compact o...

Vivek Chakrabhavi, W. Chavarria, J. Heckman et al. · 0 citations

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