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Mirror modular cloning and fast quantum associative retrieval

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arxiv 2206.01644 v1 pith:7EHJPE4F submitted 2022-06-03 quant-ph cs.AIcs.CV

classification quant-phcs.AIcs.CV
keywords quantumassociativealgorithmcloningexponentiallyretrievalclassicalcloned
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nested Grover's Algorithm for Tree Search

    quant-ph 2025-09 reject novelty 4.0 of 10

    A nested Grover algorithm for tree search claims cost O(m*2^(m/4)) using partial candidate solutions, but the speedup relies on an unexamined assumption that the candidate set contains the solution.

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