Table 1 Observed mean and maximum suppression factors \(\boldsymbol{\bar{\eta }}\) and \(\max (\eta )\) (equation (1)) across the RG problems studied in Fig. 1 and the CB problems studied in Fig. 3, for all error-mitigation methods studied

From: Purification-based quantum error mitigation of pair-correlated electron simulations

System

Metric

PS-VQE

EV

PS-VD

RG (ten qubits, energy)

\({\bar{\eta }}_{E}\)

2.1

86

54

\(\max ({\eta }_{E})\)

2.5

460

120

RG (ten qubits, order parameter)

\({\bar{\eta }}_{{{\Delta }}}\)

1.6

32

18

\(\max ({\eta }_{{{\Delta }}})\)

1.9

56

51

CB (six qubits, energy)

\({\bar{\eta }}_{E}\)

5.0

54

\(\max ({\eta }_{E})\)

5.2

140

CB (ten qubits, energy)

\({\bar{\eta }}_{E}\)

2.9

38

\(\max ({\eta }_{E})\)

3.0

190