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Fermionic cellular automata in one dimension

delete2026-05-01
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PRE
AI
T
Trezzini, Lorenzo S. *
M
Matteo Lugli
M
Meda, Paolo
A
Alessandro Bisio
P
Paolo Perinotti
A
Alessandro Tosini
DOI：10.1063/5.0267907delete
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Abstract

Abstract

En 中文
We consider quantum cellular automata for one-dimensional chains of Fermionic modes and study their implementability as finite depth quantum circuits. Fermionic automata have been classified in terms of an index modulo circuits and the addition of ancillary systems. We strengthen this result removing the ancilla degrees of freedom in defining the equivalence classes. A complete characterization of nearest-neighbours automata is given. A class of Fermionic automata is found which cannot be expressed in terms of single mode and controlled-phase gates composed with shifts, as is the case for qubit cellular automata.

Journal

J
Journal of Mathematical Physics
IF:
1.4
Papers:
289
Citations:
2.2W

Organization

U
university of pavia
Scholars:
2.1W
Papers: 1.6W
Citations: 8