Table 2. Required Surface Code Distances for Various Active Spacesa.
qubitization |
Trotterization |
|||
---|---|---|---|---|
no. of spatial orbitals | p = 10–4 | p = 10–3 | p = 10–4 | p = 10–3 |
14 | 13 | 29 | 17 | 36 |
20 | 14 | 31 | 19 | 39 |
32 | 15 | 32 | 20 | 41 |
42 | 16 | 34 | 21 | 43 |
52 | 17 | 35 | 21 | 43 |
66 | 18 | 37 | ||
100 | 19 | 39 |
We consider QPE performed using Trotterization and the full Hamiltonian, and QPE using qubitization and truncating small Hamiltonian elements. Physical error rates (p) of 10–4 and 10–3 are considered.