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quant-ph2026
Meromorphic Quantum Computing
Simon Burton, Hussain Anwar
We consider the kinematic axioms of quantum mechanics projectively. Instead of normalized (pure) states up to global phase, states become one-dimensional subspaces of vector spaces…
quant-ph2024
Fold-Transversal Clifford Gates for Quantum Codes
Nikolas P. Breuckmann, Simon Burton
We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical o…
quant-ph2024
CSS code surgery as a universal construction
Alexander Cowtan, Simon Burton
We define code maps between Calderbank-Shor-Steane (CSS) codes using maps between chain complexes, and describe code surgery between such codes using a specific colimit in the cate…