6 papers
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…
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…
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…
Detection of discrete spacetime by matter interferometry
Todd A. Brun, Leonard Mlodinow
If the structure of spacetime is discrete, then Lorentz symmetry should only be an approximation, valid at long length scales. At finite lattice spacings there will be small correc…
Discrete spacetime, quantum walks and relativistic wave equations
Leonard Mlodinow, Todd A. Brun
It has been observed that quantum walks on regular lattices can give rise to wave equations for relativistic particles in the continuum limit. In this paper we define the 3D walk a…
Quantum interference with molecules: The role of internal states
Mark Hillery, Leonard Mlodinow, Vladimir Buzek
Recent experiments have shown that fullerene and fluorofullerene molecules can produce interference patterns. These molecules have both rotational and vibrational degrees of freedo…