Higher-order spatial discretization reduces qubit count for quantum PDE simulation but does not reduce the number of Trotter steps, so total gate count remains dominated by Trotterization.
This can be accomplished by expressing the Hamil- tonian as a sum of terms that are easy to implement: Hk = PΓk γ=1 Hk,γ [10]
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
quant-ph 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
High order schemes for solving partial differential equations on a quantum computer
Higher-order spatial discretization reduces qubit count for quantum PDE simulation but does not reduce the number of Trotter steps, so total gate count remains dominated by Trotterization.