An efficient high dimensional quantum Schur transform

The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$. Bacon, Chuang and Harrow [5] gave a quantum algorithm for this transform that is polynomial in $n$, $...

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Bibliographic Details
Main Author: Hari Krovi
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2019-02-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2019-02-14-122/pdf/

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