Polynomial computational complexity of matrix elements of finite-rank-generated single-particle operators in products of finite bosonic states

It is known that computing the permanent of the matrix 1+A, where A is a finite-rank matrix, requires a number of operations polynomial in the matrix size. Motivated by the boson-sampling proposal of restricted quantum computation, I extend this result to a generalization of the matrix permanent: An...

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Bibliographic Details
Main Author: Dmitri A. Ivanov
Format: Article
Language:English
Published: SciPost 2024-04-01
Series:SciPost Physics Core
Online Access:https://scipost.org/SciPostPhysCore.7.2.022