Classical and Quantum Algorithms for Characters of the Symmetric Group

Characters of irreducible representations are ubiquitous in group theory. However, computing characters of some groups such as the symmetric group S_{n} is a challenging problem known to be #P-hard in the worst case. Here we describe a matrix product state (MPS) algorithm for characters of S_{n}. Th...

Full description

Saved in:
Bibliographic Details
Main Authors: Sergey Bravyi, David Gosset, Vojtech Havlicek, Louis Schatzki
Format: Article
Language:English
Published: American Physical Society 2025-08-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/bq28-r2r7
Tags: Add Tag
No Tags, Be the first to tag this record!