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may be identified with the space F = Span R { ∏ x∈L (φ† x)px |Ω ⟩, p x = 0, 1 ∀x ∈ L } , (4) where px denotes the occupation number at the x-th site, the product Π x∈L is well d

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quant-ph 1

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2025 1

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Fermionic cellular automata in one dimension

quant-ph · 2025-01-09 · conditional · novelty 7.0

Fermionic cellular automata in one dimension are classified up to finite-depth circuits without ancillas, and a new 'forking' automaton is shown to be implementable but not expressible by qubit-style gates.

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  • Fermionic cellular automata in one dimension quant-ph · 2025-01-09 · conditional · none · ref 1

    Fermionic cellular automata in one dimension are classified up to finite-depth circuits without ancillas, and a new 'forking' automaton is shown to be implementable but not expressible by qubit-style gates.