Mirror modular cloning and fast quantum associative retrieval

M. C. Diamantini; C. A. Trugenberger

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arXiv · 2206.01644

Mirror modular cloning and fast quantum associative retrieval

M. C. Diamantini·C. A. Trugenberger

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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.

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BibTeX RIS

M. C. Diamantini, C. A. Trugenberger. 2022-06-03. Mirror modular cloning and fast quantum associative retrieval. https://arxiv.org/abs/2206.01644

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