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quant-ph2026
Non-abelian quantum cellular automata: -dimensional Yang--Mills with fermions
Dogukan Bakircioglu, Pablo Arrighi
This work provides a digital quantum simulation scheme for -dimensional Yang--Mills theory with Dirac fermions. It takes the form of a quantum circuit, infinitely re…
quant-ph2026
Quantum Theory Over Dual-Complex Numbers
P. Arrighi, Nathan Houyet, Dogukan Bakircioglu +3
We take quantum theory and replace C by C[e] where e^2 = 0, i.e. we extend quantum theory to the ring of dual complex numbers. The aim is to develop a common language in which to t…
quant-ph2025
Fermion Doubling in Quantum Cellular Automata
Dogukan Bakircioglu, Pablo Arnault, Pablo Arrighi
A Quantum Cellular Automaton (QCA) is essentially an operator driving the evolution of particles on a lattice, through local unitaries. Because , QCAs constitute a pri…