The authors prove a benign optimization landscape for a Pauli-based diagonalization cost, but the claimed new family of efficiently diagonalizable Hamiltonians is invalid as stated because its 'diagonal' D includes Y operators, and the experiments are warm-started from exact eigensolutions.
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Classical optimization algorithms for diagonalizing quantum Hamiltonians
The authors prove a benign optimization landscape for a Pauli-based diagonalization cost, but the claimed new family of efficiently diagonalizable Hamiltonians is invalid as stated because its 'diagonal' D includes Y operators, and the experiments are warm-started from exact eigensolutions.