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We present the results of cognitive tests on conceptual combinations, performed using specific Large Language Models (LLMs) as test subjects. In the first test, performed with ChatGPT and Gemini, we show that Bell's inequalities are…

This short note comments on \citet{Aerts2024Origin}, which proposes that ranked word frequencies in texts should be read through the lens of Bose--Einstein (BE) statistics and even used to illuminate the origin of quantum statistics in…

神经元与认知 · 定量生物学 2025-12-10 Mikołaj Sienicki , Krzysztof Sienicki

Research in the application of quantum structures to cognitive science confirms that these structures quite systematically appear in the dynamics of concepts and their combinations and quantum-based models faithfully represent experimental…

人工智能 · 计算机科学 2015-12-31 Diederik Aerts , Sandro Sozzo

As a result of the identification of 'identity' and 'indistinguishability' and strong experimental evidence for the presence of the associated Bose-Einstein statistics in human cognition and language, we argued in previous work for an…

神经元与认知 · 定量生物学 2023-02-27 Diederik Aerts , Lester Beltran

We model a piece of text of human language telling a story by means of the quantum structure describing a Bose gas in a state close to a Bose-Einstein condensate near absolute zero temperature. For this we introduce energy levels for the…

神经元与认知 · 定量生物学 2023-02-27 Diederik Aerts , Lester Beltran

We investigate the hypothesis that within a combination of a 'number concept' plus a 'substantive concept', such as 'eleven animals,' the identity and indistinguishability present on the level of the concepts, i.e., all eleven animals are…

神经元与认知 · 定量生物学 2021-03-30 Lester Beltran

Identical systems, or entities, are indistinguishable in quantum mechanics (QM), and the symmetrization postulate rules the possible statistical distributions of a large number of identical quantum entities. However, a thorough analysis on…

神经元与认知 · 定量生物学 2024-09-16 Diederik Aerts , Jonito Aerts Arguēlles , Lester Beltran , Massimiliano Sassoli de Bianchi , Sandro Sozzo

In previous research, we showed that 'texts that tell a story' exhibit a statistical structure that is not Maxwell-Boltzmann but Bose-Einstein. Our explanation is that this is due to the presence of 'indistinguishability' in human language…

神经元与认知 · 定量生物学 2023-02-27 Diederik Aerts , Lester Beltran

Synchronization of finite spike sequences is the way two brain regions compare their content and extract the most suitable sequence. This is the core of the linguistic comparison between a word and a previous one retrieved by memory.…

神经元与认知 · 定量生物学 2018-07-10 F. T. Arecchi

Quantum information has suggested new forms of quantum logic, called quantum computational logics, where meanings of sentences are represented by pieces of quantum information (generally, density operators of some Hilbert spaces), which can…

量子物理 · 物理学 2016-02-25 Giuseppe Sergioli , Roberto Leporini

Recently, quantum entanglement has been presented as a cohomological obstruction to reconstructing a global quantum state from locally compatible information, where sheafification provides a functor that is forgetful with regards to…

量子物理 · 物理学 2026-01-21 Kazuki Ikeda , Steven Rayan

Comparing AI models to "human level" is often misleading when benchmark scores are incommensurate or human baselines are drawn from a narrow population. To address this, we propose a framework that calibrates items against the 'world…

We present the results of two tests where a sample of human participants were asked to make judgements about the conceptual combinations {\it The Animal Acts} and {\it The Animal eats the Food}. Both tests significantly violate the…

神经元与认知 · 定量生物学 2021-02-09 Diederik Aerts , Jonito Aerts Arguëlles , Lester Beltran , Suzette Geriente , Sandro Sozzo

We provide an overview of the results we have attained in the last decade on the identification of quantum structures in cognition and, more specifically, in the formalization and representation of natural concepts. We firstly discuss the…

人工智能 · 计算机科学 2023-03-01 Diederik Aerts , Sandro Sozzo

Document ranking based on probabilistic evaluations of relevance is known to exhibit non-classical correlations, which may be explained by admitting a complex structure of the event space, namely, by assuming the events to emerge from…

信息检索 · 计算机科学 2012-05-28 Roman Zapatrin

Inner Interpretability is a promising emerging field tasked with uncovering the inner mechanisms of AI systems, though how to develop these mechanistic theories is still much debated. Moreover, recent critiques raise issues that question…

人工智能 · 计算机科学 2024-08-01 Martina G. Vilas , Federico Adolfi , David Poeppel , Gemma Roig

We work out a quantum-theoretic model in complex Hilbert space of a recently performed test on co-occurrencies of two concepts and their combination in retrieval processes on specific corpuses of documents. The test violated the…

计算与语言 · 计算机科学 2023-02-27 Diederik Aerts , Lester Beltran , Suzette Geriente , Sandro Sozzo

The Bhatt Conjectures framework introduces rigorous, hierarchical benchmarks for evaluating AI reasoning and understanding, moving beyond pattern matching to assess representation invariance, robustness, and metacognitive self-awareness.…

密码学与安全 · 计算机科学 2025-06-23 Manish Bhatt

It is shown that when properly analyzed using principles consistent with the use of a Hilbert space to describe microscopic properties, quantum mechanics is a local theory: one system cannot influence another system with which it does not…

量子物理 · 物理学 2020-03-04 Robert B. Griffiths

Artificial and biological systems may evolve similar computational solutions despite fundamental differences in architecture and learning mechanisms -- a form of convergent evolution. We demonstrate this phenomenon through large-scale…

神经元与认知 · 定量生物学 2025-07-04 Guobin Shen , Dongcheng Zhao , Yiting Dong , Qian Zhang , Yi Zeng
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