Product-State Lifting (PSL) upgrades any basis-state vQSDP to k-degree polynomial optimization via product-register encoding, with linear resource scaling and k-independent constraints.
(36) can be generalized to DX d=1 2nd−1 α ⟨σz anc.⟩⊗H W +,(d) − ⟨σz anc.⟩W −,(d) , (40) where we recall D = ceil( k/2) and each term may be evaluated with a Hadamard test
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Elevating Variational Quantum Semidefinite Programs for Polynomial Objectives
Product-State Lifting (PSL) upgrades any basis-state vQSDP to k-degree polynomial optimization via product-register encoding, with linear resource scaling and k-independent constraints.