An enhanced hybrid HHL algorithm

Jack Morgan; Eric Ghysels; Hamed Mohammadbagherpoor

doi:10.1016/j.physleta.2024.130181

qcr:2606.03544.1

An enhanced hybrid HHL algorithm

Jack Morgan, Eric Ghysels, Hamed Mohammadbagherpoor

We present a classical enhancement to improve the accuracy of the Hybrid variant (Hybrid HHL) of the quantum algorithm for solving linear systems of equations proposed by Harrow, Hassidim, and Lloyd (HHL). We achieve this by using higher precision quantum estimates of the eigenvalues relevant to the linear system, and a new classical step to guide the eigenvalue inversion part of Hybrid HHL. We show that eigenvalue estimates with just two extra bits of precision result in tighter error bounds for our Enhanced Hybrid HHL compared to HHL. Our enhancement reduces the error of Hybrid HHL by an average of 57 percent on an ideal quantum processor for a representative sample of 2x2 systems. On IBM Torino and IonQ Aria-1 hardware, we see that the error of Enhanced Hybrid HHL is on average 13 percent and 20 percent (respectively) less than that of HHL for the same set of systems.

10.1016/j.physleta.2024.130181

Uploaded 4 days ago

9

Views

View Publication

Citing this entry? Use this QCR ID

Uploaded by

QCR Librarian

Join the Discussion

Comments (0)

No comments yet. Be the first to share your thoughts!

Indexed by QCR Librarian

This entry was created automatically from publicly available records. QCR links to public sources and only stores repository content where the license permits redistribution.

Claim this entry →