2022
DOI: 10.48550/arxiv.2201.12305
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A Post-Quantum Associative Memory

Abstract: Associative memories are devices storing information that can be fully retrieved given partial disclosure of it. We examine a toy model of associative memory and the ultimate limitations it is subjected to within the framework of general probabilistic theories (GPTs), which represent the most general class of physical theories satisfying some basic operational axioms. We ask ourselves how large the dimension of a GPT should be so that it can accommodate 2 m states with the property that any N of them are perfe… Show more

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Cited by 6 publications
(7 citation statements)
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“…Our experiment is inspired by the work of Lami, Goldwater and Adesso [17], who proposed a post-quantum associative memory using GPT. The results of our experiment indicate that the ChatGPT model has a high level of creative potential, generating insightful and thought-provoking outputs that encourage further exploration of the field.…”
Section: Discussionmentioning
confidence: 99%
“…Our experiment is inspired by the work of Lami, Goldwater and Adesso [17], who proposed a post-quantum associative memory using GPT. The results of our experiment indicate that the ChatGPT model has a high level of creative potential, generating insightful and thought-provoking outputs that encourage further exploration of the field.…”
Section: Discussionmentioning
confidence: 99%
“…Our experiment is inspired by the work of Lami, Goldwater and Adesso (Lami et al, 2021), who proposed a post-quantum associative memory using GPT. In addition to its impressive performance on the evaluation criteria, GPT 4 is also able to exhibit self-awareness, allowing it to understand and analyze its own structure and behavior.…”
Section: Discussionmentioning
confidence: 99%
“…Generalised contextuality has also recently been connected to the framework of generalised probabilistic theories [58,59,60,61] (see also [62] for an application to associative memories). This framework is commonly used in foundations research and allows one to transform any probabilistic theory, such as classical and quantum theory, into a simple linear structure in which the states and effects are represented as vectors in a vector space 10 .…”
Section: Possible Extensions To Our Frameworkmentioning
confidence: 99%