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. 2022 Nov 10;18(12):7001–7023. doi: 10.1021/acs.jctc.2c00574

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    
a

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.