Accelerating Quantum Algorithms with Precomputation

2Citations
Citations of this article
15Readers
Mendeley users who have this article in their library.

Abstract

Real-world applications of computing can be extremely time-sensitive. It would be valuable if we could accelerate such tasks by performing some of the work ahead of time. Motivated by this, we propose a cost model for quantum algorithms that allows quantum precomputation; i.e., for a polynomial amount of “free” computation before the input to an algorithm is fully specified, and methods for taking advantage of it. We analyze two families of unitaries that are asymptotically more efficient to implement in this cost model than in the standard one. The first example of quantum precomputation, based on density matrix exponentiation, could offer an exponential advantage under certain conditions. The second example uses a variant of gate teleportation to achieve a quadratic advantage when compared with implementing the unitaries directly. These examples hint that quantum precomputation may offer a new arena in which to seek quantum advantage.

References Powered by Scopus

A one-way quantum computer

3611Citations
N/AReaders
Get full text

Quantum machine learning

2685Citations
N/AReaders
Get full text

Quantum algorithm for linear systems of equations

2035Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Image Similarity Quantum Algorithm and Its Application in Image Retrieval Systems

0Citations
N/AReaders
Get full text

Mitigating errors in logical qubits

0Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Huggins, W. J., & McClean, J. R. (2024). Accelerating Quantum Algorithms with Precomputation. Quantum, 8. https://doi.org/10.22331/q-2024-02-22-1264

Readers' Seniority

Tooltip

PhD / Post grad / Masters / Doc 6

60%

Researcher 3

30%

Professor / Associate Prof. 1

10%

Readers' Discipline

Tooltip

Physics and Astronomy 6

60%

Computer Science 2

20%

Materials Science 1

10%

Engineering 1

10%

Save time finding and organizing research with Mendeley

Sign up for free