New Pauli orbit and modified Gell-Mann bases enable polynomial-cost Lie-algebraic simulation for permutation-equivariant and bounded-excitation quantum dynamics.
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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.
The succinct state 2-local Hamiltonian problem for qubit Hamiltonians is promise-MA-complete.
A frustration graph formalism for prime-d qudit observables yields a unitary map to generalized Pauli form plus bounds on observable sums used for qudit entanglement quantification.
citing papers explorer
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Enabling Lie-Algebraic Classical Simulation beyond Free Fermions
New Pauli orbit and modified Gell-Mann bases enable polynomial-cost Lie-algebraic simulation for permutation-equivariant and bounded-excitation quantum dynamics.
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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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On the Complexity of the Succinct State Local Hamiltonian Problem
The succinct state 2-local Hamiltonian problem for qubit Hamiltonians is promise-MA-complete.
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Frustration graph formalism for qudit observables
A frustration graph formalism for prime-d qudit observables yields a unitary map to generalized Pauli form plus bounds on observable sums used for qudit entanglement quantification.