Unknown

Dataset Information

0

Quantum hyperparallel algorithm for matrix multiplication.


ABSTRACT: Hyperentangled states, entangled states with more than one degree of freedom, are considered as promising resource in quantum computation. Here we present a hyperparallel quantum algorithm for matrix multiplication with time complexity O(N(2)), which is better than the best known classical algorithm. In our scheme, an N dimensional vector is mapped to the state of a single source, which is separated to N paths. With the assistance of hyperentangled states, the inner product of two vectors can be calculated with a time complexity independent of dimension N. Our algorithm shows that hyperparallel quantum computation may provide a useful tool in quantum machine learning and "big data" analysis.

SUBMITTER: Zhang XD 

PROVIDER: S-EPMC4850379 | biostudies-other | 2016 Apr

REPOSITORIES: biostudies-other

Similar Datasets

| S-EPMC7959611 | biostudies-literature
| S-EPMC7326541 | biostudies-literature
| S-EPMC9534758 | biostudies-literature
| S-EPMC4726197 | biostudies-other
| S-EPMC3271878 | biostudies-other
| S-EPMC10562407 | biostudies-literature
| S-EPMC7039952 | biostudies-literature
| S-EPMC4083434 | biostudies-other
| S-EPMC3759061 | biostudies-literature
| S-EPMC7889913 | biostudies-literature