The author presents a detailed construction of quantum PCPs with adaptivity and multiple unentangled provers, showing their connection to local Hamiltonians. The core argument revolves around the equivalence between the acceptance probability of a proof by a verifier circuit and the expectation value of a corresponding Hamiltonian.
Multiprover interactive proof systems with polylogarithmically long messages can solve any decision problem in RE, highlighting the challenge of constructing prover-efficient nonlocal games for QMA.
Quantum PCPs connect adaptivity, multiple provers, and local Hamiltonians, crucial for quantum complexity theory.