Fetching the paper…
Reading the bibliography…
We study a single quantum particle in discrete spacetime evolving in a causal way.
Quantum Mechanics and Path Integrals
R. P. Feynman and A. R. Hibbs · 1965
Earlier work this paper cites.
Quarks, Gluons and Lattices
M. Creutz · 1983
Earlier work this paper cites.
Matrix Analysis
R. A. Horn and C. R. Johnson · 1985
Earlier work this paper cites.
Space-time as a causal set
L. Bombelli, J. Lee, D. Meyer, and R. D. Sorkin · 1987
Earlier work this paper cites.
Light cone lattice approach to fermionic theories in 2-d: the massive Thirring model
C. Destri and H. J. de Vega · 1987
Earlier work this paper cites.
Weyl, dirac, and maxwell equations on a lattice as unitary cellular automata
I. Bialynicki-Birula · 1994
Earlier work this paper cites.
The Quantum Theory of Fields
S. Weinberg · 1995
Earlier work this paper cites.
On the absence of homogeneous scalar unitary cellular automata
D. A. Meyer · 1996
Earlier work this paper cites.
From quantum cellular automata to quantum lattice gases
D. A. Meyer · 1996
Cited alongside, same era.
Quantum mechanics of lattice gas automata: One-particle plane waves and potentials
D. A. Meyer · 1997
Cited alongside, same era.
Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2000
Cited alongside, same era.
Quantum random walks - an introductory overview
J. Kempe · 2003
Cited alongside, same era.
Relativistic quantum walks
F. W. Strauch · 2006
Cited alongside, same era.
Free-dirac-particle evolution as a quantum random walk
A. J. Bracken, D. Ellinas, and I. Smyrnakis · 2007
Cited alongside, same era.
Relativistic effects in quantum walks: Klein’s paradox and zitterbewegung
P. Kurzyński · 2008
Later among the works it cites.
Physics as quantum information processing: Quantum fields as quantum automata
G. M. D’Ariano · 2012
Later among the works it cites.
The quantum field as a quantum computer
G. M. D’Ariano · 2012
Later among the works it cites.
Quantum field as a quantum cellular automaton i: the dirac free evolution in one dimension
A. Bisio, G. M. D’Ariano, and A. Tosini · 2012
Later among the works it cites.
Quantum algorithms for quantum field theories
S. P. Jordan, K. S. M. Lee, and J. Preskill · 2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
F. W. Strauch · 2007
Cited alongside, same era.
T. C. Farrelly and A. J. Short · 2013
Closest in time.
Derivation of the dirac equation from principles of information processing
G. M. D’Ariano and P. Perinotti · 2013
Closest in time.