Mirror modular cloning and fast quantum associative retrieval
Quantum Physics
2022-06-06 v1 Artificial Intelligence
Computer Vision and Pattern Recognition
Abstract
We show that a quantum state can be perfectly cloned up to global mirroring with a unitary transformation that depends on one single parameter. We then show that this is equivalent to "perfect" cloning for quantum associative memories which, as a consequence efficiently hold exponentially more information than their classical counterparts. Finally, we present a quantum associative retrieval algorithm which can correct corrupted inputs and is exponentially faster than the Grover algorithm.
Keywords
Cite
@article{arxiv.2206.01644,
title = {Mirror modular cloning and fast quantum associative retrieval},
author = {M. C. Diamantini and C. A. Trugenberger},
journal= {arXiv preprint arXiv:2206.01644},
year = {2022}
}