A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
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Entangling power in Heisenberg spin chains shows a monotonic decrease with growing symmetry in small models, sharp dips at SU(2) and free-fermion points in finite chains, and vanishes at SU(2) points but maximizes at the free-fermion point in the thermodynamic limit for the S-matrix.
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Integrability of Goldilocks quantum cellular automata
A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
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Entangling Power: A Probe of Symmetry and Integrability in Quantum Many-Body Systems
Entangling power in Heisenberg spin chains shows a monotonic decrease with growing symmetry in small models, sharp dips at SU(2) and free-fermion points in finite chains, and vanishes at SU(2) points but maximizes at the free-fermion point in the thermodynamic limit for the S-matrix.