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Table 1 Four-spin representation of the two-electron, NaH Hamiltonian and expectation value of the Pauli strings with respect to the UCCD ansatz for r=1.91438Ã…

From: Numerical simulations of noisy quantum circuits for computational chemistry

j

cj(r0) [Ha]

Pj

〈Pj(θ)〉

0

-159.40289

I0I1I2I3

1

1

0.0323625

X0X1I2I3

0

2

0.0202421

X0X1X2X3

−sinθ

3

0.0202421

X0X1Y2Y3

−sinθ

4

0.0229208

X0X1Z2I3

0

5

-0.00944179

X0X1I2Z3

0

6

0.0323625

I0I1X2X3

0

7

0.0323625

Y0Y1I2I3

0

8

0.0202421

Y0Y1X2X3

−sinθ

9

0.0202421

Y0Y1Y2Y3

−sinθ

10

0.0229208

Y0Y1Z2I3

0

11

-0.00944179

Y0Y1I2Z3

0

12

0.0323625

I0I1Y2Y3

0

13

0.0149385

Z0I1I2I3

−cosθ

14

0.0229208

Z0I1X2X3

0

15

0.0229208

Z0I1Y2Y3

0

16

0.0816923

Z0Z1I2I3

−1

17

0.158901

Z0I1Z2I3

1

18

0.101934

Z0I1I2Z3

−1

19

-0.387818

I0Z1I2I3

−cosθ

20

-0.00944179

I0Z1X2X3

0

21

-0.00944179

I0Z1Y2Y3

0

22

0.101934

I0Z1Z2I3

−1

23

0.117450

I0Z1I2Z3

1

24

0.0149385

I0I1Z2I3

−cosθ

25

0.0816923

I0I1Z2Z3

−1

26

-0.387818

I0I1I2Z3

cosθ