5 papers
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…
Fermion-doubling problem in Chiral discretizations of Quantum field theory: Definitive proof, Fixing, and Computation of two-point correlation function
Dogukan Bakircioglu, Pablo Arnault
We give the definitive proof that the Dirac Quantum Cellular Automaton (QCA) used for both quantum simulation and algorithmic foundations of Quantum Field Theory (QFT), and especia…
Flavoured Lattice Schwinger Model with Chiral Anomaly
Dogukan Bakircioglu
We introduce the \emph{flavoured lattice Schwinger model}, a -dimensional lattice gauge theory in which the fermion doubling problem is resolved by staggering a $\m…
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…
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…