Energy and heat measurements provide witnesses that certify quantum magic without full state tomography.
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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.
Constructs free-fermion subsystem codes with a 2D topological example, graph-based solvability algorithm, and gap analysis via skew energy and median eigenvalues.
An algorithm leveraging the Clifford group and graph representation to find symmetries in many-body Hamiltonians, demonstrated on random and physical instances up to 1000 qubits.
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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.