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Quantum Associative Memory

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arxiv quant-ph/9807053 v1 pith:O6AELHLU submitted 1998-07-18 quant-ph

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keywords quantummemoryassociativecomputationalcapacityclassicalcombinescomputation
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This paper combines quantum computation with classical neural network theory to produce a quantum computational learning algorithm. Quantum computation uses microscopic quantum level effects to perform computational tasks and has produced results that in some cases are exponentially faster than their classical counterparts. The unique characteristics of quantum theory may also be used to create a quantum associative memory with a capacity exponential in the number of neurons. This paper combines two quantum computational algorithms to produce such a quantum associative memory. The result is an exponential increase in the capacity of the memory when compared to traditional associative memories such as the Hopfield network. The paper covers necessary high-level quantum mechanical and quantum computational ideas and introduces a quantum associative memory. Theoretical analysis proves the utility of the memory, and it is noted that a small version should be physically realizable in the near future.

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

  1. The Input Problem: A Permanent Bottleneck for Quantum Machine Learning

    quant-ph 2026-08 accept novelty 4.0 of 10

    Preparing a generic classical data vector as a quantum state provably costs Θ(N) gates, so algorithms that claim O(polylog N) total time on classical data are dominated by their own input stage.

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