Table 2 Resource estimates with QROAM that minimizes the number of qubits instead of the number of Toffolis

From: Quantum simulations of chemistry in first quantization with any basis set

Orbitals

Toffoli Gates

Logical Qubits

 

1st

2nd

1st

2nd

16

1.79 × 1011

2.16 × 1010

198

190

32

1.14 × 1013

2.04 × 1012

229

250

64

9.52 × 1014

1.44 × 1014

261

340

128

4.76 × 1016

9.29 × 1015

293

492

  1. Estimates are obtained for the total error budget of 0.1 mHa. The number of Toffolis is always smaller in second quantization. Bold font indicates the smallest number of qubits.
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