Design of quantum optical experiments with logic artificial intelligence

09/27/2021
by   Alba Cervera-Lierta, et al.
0

Logic artificial intelligence (AI) is a subfield of AI where variables can take two defined arguments, True or False, and are arranged in clauses that follow the rules of formal logic. Several problems that span from physical systems to mathematical conjectures can be encoded into these clauses and be solved by checking their satisfiability (SAT). Recently, SAT solvers have become a sophisticated and powerful computational tool capable, among other things, of solving long-standing mathematical conjectures. In this work, we propose the use of logic AI for the design of optical quantum experiments. We show how to map into a SAT problem the experimental preparation of an arbitrary quantum state and propose a logic-based algorithm, called Klaus, to find an interpretable representation of the photonic setup that generates it. We compare the performance of Klaus with the state-of-the-art algorithm for this purpose based on continuous optimization. We also combine both logic and numeric strategies to find that the use of logic AI improves significantly the resolution of this problem, paving the path to develop more formal-based approaches in the context of quantum physics experiments.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/07/2018

SAT-based Explicit LTLf Satisfiability Checking

We present here a SAT-based framework for LTLf (Linear Temporal Logic on...
research
08/24/2022

Advanced Tools and Methods for Treewidth-Based Problem Solving – Extended Abstract

Computer programs, so-called solvers, for solving the well-known Boolean...
research
03/02/2022

On the Configuration of More and Less Expressive Logic Programs

The decoupling between the representation of a certain problem, i.e., it...
research
04/13/2023

Graph-theoretic insights on the constructability of complex entangled states

The most efficient automated way to construct a large class of quantum p...
research
06/02/2017

Active learning machine learns to create new quantum experiments

How useful can machine learning be in a quantum laboratory? Here we rais...
research
01/12/2021

Quantum Mathematics in Artificial Intelligence

In the decade since 2010, successes in artificial intelligence have been...
research
05/03/2023

Towards Invertible Semantic-Preserving Embeddings of Logical Formulae

Logic is the main formal language to perform automated reasoning, and it...

Please sign up or login with your details

Forgot password? Click here to reset