Nonlinear Hamiltonians on ancilla qubits enable efficient solution of UNIQUE SAT with ⟨σ^z⟩σ^z, 3SAT with ⟨σ^x⟩σ^y - ⟨σ^y⟩σ^x, and #SAT with ⟨σ^y⟩⟨σ^z⟩σ^x - ⟨σ^x⟩⟨σ^z⟩σ^y nonlinearity.
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In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.
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Nonlinear Hamiltonians and Boolean satisfiability
Nonlinear Hamiltonians on ancilla qubits enable efficient solution of UNIQUE SAT with ⟨σ^z⟩σ^z, 3SAT with ⟨σ^x⟩σ^y - ⟨σ^y⟩σ^x, and #SAT with ⟨σ^y⟩⟨σ^z⟩σ^x - ⟨σ^x⟩⟨σ^z⟩σ^y nonlinearity.
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From spin squeezing to fast state discrimination
In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.