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Quantum Computing is a new and exciting field at the intersection of mathematics, computer science and physics. It concerns a utilization of quantum mechanics to improve the efficiency of computation. Here we present a gentle introduction…

Quantum Physics · Physics 2007-08-03 Noson S. Yanofsky

Contextuality is a distinguishing feature of quantum mechanics and there is growing evidence that it is a necessary condition for quantum advantage. In order to make use of it, researchers have been asking whether similar phenomena arise in…

Computation and Language · Computer Science 2024-12-24 Kin Ian Lo , Mehrnoosh Sadrzadeh , Shane Mansfield

Large Language Models (LLMs) encode semantic relationships in high-dimensional vector embeddings. This paper explores the analogy between LLM embedding spaces and quantum mechanics, positing that LLMs operate within a quantized semantic…

Computation and Language · Computer Science 2025-04-22 Timo Aukusti Laine

We present a way to apply quantum logic to the study of quantum programs. This is made possible by using an extension of the usual propositional language in order to make transformations performed on the system appear explicitly. This way,…

Quantum Physics · Physics 2007-05-23 Olivier Brunet , Philippe Jorrand

Traditional linguistic theories have largely regard language as a formal system composed of rigid rules. However, their failures in processing real language, the recent successes in statistical natural language processing, and the findings…

Computation and Language · Computer Science 2020-12-02 Shuiyuan Yu , Chunshan Xu , Haitao Liu

We introduce the Probabilistic Worldbuilding Model (PWM), a new fully-symbolic Bayesian model of semantic parsing and reasoning, as a first step in a research program toward more domain- and task-general NLU and AI. Humans create internal…

Computation and Language · Computer Science 2021-12-22 Abulhair Saparov , Tom M. Mitchell

Understanding human language has been a sub-challenge on the way of intelligent machines. The study of meaning in natural language processing (NLP) relies on the distributional hypothesis where language elements get meaning from the words…

Computation and Language · Computer Science 2021-10-06 Erhan Sezerer , Selma Tekir

A formulation of quantum mechanics, which begins by postulating assertions for individual physical systems, is given. The statistical predictions of quantum mechanics for infinite ensembles are then derived from its assertions for…

Quantum Physics · Physics 2019-07-08 J. B. Hartle

Encoding classical data into quantum states is considered a quantum feature map to map classical data into a quantum Hilbert space. This feature map provides opportunities to incorporate quantum advantages into machine learning algorithms…

Quantum Physics · Physics 2021-08-31 Takahiro Goto , Quoc Hoan Tran , Kohei Nakajima

Language model is one of the most important modules in statistical machine translation and currently the word-based language model dominants this community. However, many translation models (e.g. phrase-based models) generate the target…

Computation and Language · Computer Science 2015-02-06 Jiajun Zhang , Shujie Liu , Mu Li , Ming Zhou , Chengqing Zong

Word embeddings are a popular way to improve downstream performances in contemporary language modeling. However, the underlying geometric structure of the embedding space is not well understood. We present a series of explorations using…

Computation and Language · Computer Science 2020-09-17 Hongwei , Zhou , Oskar Elek , Pranav Anand , Angus G. Forbes

We consider the hypothesis that quantum mechanics is an approximation to another, cosmological theory, accurate only for the description of subsystems of the universe. Quantum theory is then to be derived from the cosmological theory by…

Quantum Physics · Physics 2007-05-23 Lee Smolin

In this article, the notion of a mathematical model in science is attempted to be enlightened from several points of view. In particular, it is shown that mathematical models are introduced differently and used differently in different…

History and Overview · Mathematics 2022-05-25 Inge S. Helland

Cross-lingual representations of words enable us to reason about word meaning in multilingual contexts and are a key facilitator of cross-lingual transfer when developing natural language processing models for low-resource languages. In…

Computation and Language · Computer Science 2019-10-08 Sebastian Ruder , Ivan Vulić , Anders Søgaard

This paper surveys the common approach to quantification and generalised quantification in formal linguistics and philosophy of language. We point out how this general setting departs from empirical linguistic data, and give some hints for…

Logic · Mathematics 2013-01-30 Michele Abrusci , Christian Retoré

Quantum computers take advantage of interfering quantum alternatives in order to handle problems that might be too time consuming with algorithms based on classical logic. Developing quantum computers requires new ways of thinking beyond…

Quantum Physics · Physics 2014-09-10 W. C. Parke

Quantum computation has suggested new forms of quantum logic, called quantum computational logics. The basic semantic idea is the following: the meaning of a sentence is identified with a quregister, a system of qubits, representing a…

Quantum Physics · Physics 2007-05-23 M. L. Dalla Chiara , R. Giuntini , R. Leporini

The emergence of noisy medium-scale quantum devices has led to proof-of-concept applications for quantum computing in various domains. Examples include Natural Language Processing (NLP) where sentence classification experiments have been…

Quantum Physics · Physics 2022-11-03 Amin Karamlou , Marcel Pfaffhauser , James Wootton

We introduce a new "positive formalism" for encoding quantum theories in the general boundary formulation, somewhat analogous to the mixed state formalism of the standard formulation. This makes the probability interpretation more natural…

Quantum Physics · Physics 2013-10-14 Robert Oeckl

Automated theorem proving, or more broadly automated reasoning, aims at using computer programs to automatically prove or disprove mathematical theorems and logical statements. It takes on an essential role across a vast array of…

Quantum Physics · Physics 2026-01-14 Zheng-Zhi Sun , Qi Ye , Dong-Ling Deng