28 citations · 158 across the 11 of their papers we have counts for
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quant-ph2020★ 13 cited
Fermionic and bosonic quantum field theories from quantum cellular automata in three spatial dimensions
Leonard Mlodinow, Todd A. Brun
Quantum walks on lattices can give rise to relativistic wave equations in the long-wavelength limit, but going beyond the single-particle case has proven challenging, especially in…
quant-ph2020★ 20 cited
Quantum cellular automata and quantum field theory in two spatial dimensions
Todd A. Brun, Leonard Mlodinow
Quantum walks on lattices can give rise to one-particle relativistic wave equations in the long-wavelength limit. In going to multiple particles, quantum cellular automata (QCA) ar…
quant-ph2020★ 13 cited
Quantum field theory from a quantum cellular automaton in one spatial dimension and a no-go theorem in higher dimensions
Leonard Mlodinow, Todd A. Brun
It has been shown that certain quantum walks give rise to relativistic wave equations, such as the Dirac and Weyl equations, in their long-wavelength limits. This intriguing result…