fermion doubling 2lattice gauge theory 2chiral anomaly 1dirac equation 1quantum cellular automata 1quantum simulation 1schwinger model 1topological insulator 1two-point correlation function 1
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quant-ph2026
Quantum theory over dual-complex numbers
P. Arrighi, D. Bakircioglu, N. L. Houyet
We take quantum theory and replace by where , i.e. we extend quantum theory to the ring of dual complex numbers. The aim is…
quant-ph2026
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…