Bell sampling on two copies of a quantum state beats standard qubit-wise-commuting grouping for molecular energy estimates when the required accuracy is only tens of milli-Hartree or rougher, based on numerics up to 12 qubits.
(A12) Note that N (i) 2 is supposed to be an odd number to ensure that the sign is determined
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Quantum expectation value estimation by doubling the number of qubits
Bell sampling on two copies of a quantum state beats standard qubit-wise-commuting grouping for molecular energy estimates when the required accuracy is only tens of milli-Hartree or rougher, based on numerics up to 12 qubits.