Table 4 Comparison of the number of qubits and T-count in the PRN-type method and the AE-type method
From: Quantum pricing with a smile: implementation of local volatility model on quantum computer
PRN-type | AE-type | |
|---|---|---|
logical qubit | \(n_{\mathrm{samp}} + 2n_{\mathrm{dig}} + n_{\mathrm{PRN}} + \max \{2n_{\mathrm{PRN}},7n_{\mathrm{dig}}\}\) | \((3n_{\mathrm{dig}}^{2}+111n_{\mathrm{dig}})n_{\mathrm{t}}\) |
T-count | \((245n_{\mathrm{dig}}^{2}n_{S}+140n_{\mathrm{PRN}}^{2}+210n_{\mathrm{dig}}^{2} + 56n_{\mathrm{dig}}n_{\mathrm{ICDF}})n_{\mathrm{t}}\) | \((7n_{\mathrm{dig}}^{2} + 63n_{\mathrm{dig}} + 28n_{S}+3.4\times 10^{4})n_{\mathrm{dig}}n_{\mathrm{t}}\) |