Quantum Circuits for Sparse Isometries

We consider the task of breaking down a quantum computation given as an isometry into C-NOTs and single-qubit gates, while keeping the number of C-NOT gates small. Although several decompositions are known for general isometries, here we focus on a method based on Householder reflections that adapts...

Full description

Bibliographic Details
Main Authors: Emanuel Malvetti, Raban Iten, Roger Colbeck
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021-03-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2021-03-15-412/pdf/