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Update README.md
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gingertonwatts authored Dec 3, 2024
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Eigenvalues { $\lambda_\ell$ }

$G(H) = (V,E)$ where $V = [n]$ for an $n$-qubit Hamiltonian $H$ where the edge set contains hyperedges $e_i = (i_1,...,i_{k(i)}) \in E$ where $i_1, ..., i_{k(i)} \in V$ are all those non-identity Pauli string terms. The graph has edge weights $w(e) = h_e$ where $h_e$ is the coefficient of Pauli string $e \in E$ where $H = \sum_{e \in E} h_e P_e$. We take statistics (max, min, mean, std. dev.) on edge order (Pauli weight), vertex degree, and edge weights.
$G(H) = (V,E)$ where $V = [n]$ for an $n$-qubit Hamiltonian $H$ where the edge set contains hyperedges $e_i = (i_1,...,i_{k(i)}) \in E$ where $i_1, ..., i_{k(i)} \in V$ are all those qubits that are being acted upon by non-identity single qubit Pauli operators. The graph has edge weights $w(e) = h_e$ where $h_e$ is the coefficient of Pauli string $e \in E$ where $H = \sum_{e \in E} h_e P_e$. We take statistics (max, min, mean, std. dev.) on edge order (Pauli weight), vertex degree, and edge weights.

Number of Pauli Strings | $E$ |

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