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CoqQ: Foundational Verification of Quantum Programs

1 code implementation22 Jul 2022

CoqQ is a framework for reasoning about quantum programs in the Coq proof assistant.

Programming Languages

CNM: An Interpretable Complex-valued Network for Matching

1 code implementation NAACL 2019

This paper seeks to model human language by the mathematical framework of quantum physics.

Benchmarking Question Answering

A Formally Certified End-to-End Implementation of Shor's Factorization Algorithm

2 code implementations14 Apr 2022

As a demonstration of the feasibility of applying formal methods to quantum programming, we present the first formally certified end-to-end implementation of Shor's prime factorization algorithm, developed as part of a novel framework for applying the certified approach to general applications.

Programming Languages Quantum Physics

QuantumCircuitOpt: An Open-source Framework for Provably Optimal Quantum Circuit Design

1 code implementation23 Nov 2021

An important direction of research has been to decompose an arbitrary entangled state, represented as a unitary, into a quantum circuit, that is, a sequence of gates supported by a quantum processor.

Quantum Physics Optimization and Control

String Diagram Rewrite Theory I: Rewriting with Frobenius Structure

1 code implementation3 Dec 2020

In the last part, we also see that the approach can be generalised to model rewriting modulo multiple Frobenius structures.

Logic in Computer Science Category Theory

Fractal AI: A fragile theory of intelligence

7 code implementations13 Mar 2018

Fractal AI is a theory for general artificial intelligence.

Atari Games Reinforcement Learning

X-LoRA: Mixture of Low-Rank Adapter Experts, a Flexible Framework for Large Language Models with Applications in Protein Mechanics and Molecular Design

3 code implementations11 Feb 2024

Starting with a set of pre-trained LoRA adapters, our gating strategy uses the hidden states to dynamically mix adapted layers, allowing the resulting X-LoRA model to draw upon different capabilities and create never-before-used deep layer-wise combinations to solve tasks.

graph construction Knowledge Graphs +2

String Diagram Rewrite Theory II: Rewriting with Symmetric Monoidal Structure

1 code implementation29 Apr 2021

This poses the challenge of extending the traditional theory of term rewriting, which has been developed for algebraic theories, to string diagrams.

Logic in Computer Science Category Theory Logic

Review of Tensor Network Contraction Approaches

1 code implementation30 Aug 2017

One goal is to provide a systematic introduction of TN contraction algorithms (motivations, implementations, relations, implications, etc.

Computational Physics Statistical Mechanics Strongly Correlated Electrons Applied Physics Quantum Physics