28 citations · 158 across the 11 of their papers we have counts for
11 papers
Bounds on QCA Lattice Spacing from Data on Lorentz Violation
Leonard Mlodinow, Todd A. Brun
Recent work has demonstrated that discrete quantum walks, when extended to quantum cellular automata (QCA), can, in the continuum limit, reproduce relativistic wave equations and q…
Quantum Electrodynamics from Quantum Cellular Automata, and the Tension Between Symmetry, Locality and Positive Energy
Todd A. Brun, Leonard Mlodinow
We show that free QED is equivalent to the continuous-space-and-time limit of Fermi and Bose lattice quantum cellular automata theories derived from quantum random walks satisfying…
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…
Decoherence by Internal Degrees of Freedom
Todd A. Brun, Leonard Mlodinow
We consider a composite system consisting of coupled particles, and investigate decoherence due to coupling of the center-of-mass degree of freedom with the internal degrees of fre…
On the Relation between the Psychological and Thermodynamic Arrows of Time
Leonard Mlodinow, Todd A. Brun
In this paper we lay out an argument that generically the psychological arrow of time should align with the thermodynamic arrow of time where that arrow is well-defined. This argum…
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…
Quantized Fields in a Nonlinear Dielectric Medium: A Microscopic Approach
Mark Hillery, Leonard Mlodinow
Theories which have been used to describe the quantized electromagnetic field interacting with a nonlinear dielectric medium are either phenomenological or derived by quantizing th…