Quantum hyperparallel algorithm for matrix multiplication.
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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
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