Visualizing quantum circuit probability: estimating quantum state complexity for quantum program synthesis

TytułVisualizing quantum circuit probability: estimating quantum state complexity for quantum program synthesis
Publication TypeJournal Article
Rok publikacji2023
JournalEntropy
Volume25
Issue5
Start Page763
Date Published5/2023
Abstract

This work applies concepts from algorithmic probability to Boolean and quantum combinatorial logic circuits. The relations among the statistical, algorithmic, computational, and circuit complexities of states are reviewed. Thereafter, the probability of states in the circuit model of computation is defined. Classical and quantum gate sets are compared to select some characteristic sets. The reachability and expressibility in a space-time-bounded setting for these gate sets are enumerated and visualized. These results are studied in terms of computational resources, universality, and quantum behavior. The article suggests how applications like geometric quantum machine learning, novel quantum algorithm synthesis, and quantum artificial general intelligence can benefit by studying circuit probabilities.

URLhttps://www.mdpi.com/1099-4300/25/5/763
DOI10.3390/e25050763

Historia zmian

Data aktualizacji: 23/05/2023 - 13:51; autor zmian: Akash Kundu (akundu@iitis.pl)