228 citations · 1.5k across the 45 of their papers we have counts for
5 papers · 1 filter
High-dimensional quantum Schur transforms
Adam Burchardt, Jiani Fei, Dmitry Grinko +4
The quantum Schur transform has become a foundational quantum algorithm, yet even after two decades since the seminal 2005 paper by Bacon, Chuang, and Harrow (BCH), some aspects of…
A unified approach to quantum resource theories and a new class of free operations
N. L. Diaz, Antonio Anna Mele, Pablo Bermejo +4
In quantum resource theories (QRTs) certain quantum states and operations are deemed more valuable than others. While the determination of the ``free'' elements is usually guided b…
Characterizing quantum resourcefulness via group-Fourier decompositions
Pablo Bermejo, Paolo Braccia, Antonio Anna Mele +4
In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary repres…
No-go theorems for sublinear-depth group designs
Maxwell West, Diego García-Martín, N. L. Diaz +2
Constructing ensembles of circuits which efficiently approximate the Haar measure over various groups is a long-standing and fundamental problem in quantum information theory. Rece…
Optimal Haar random fermionic linear optics circuits
Paolo Braccia, N. L. Diaz, Martin Larocca +2
Sampling unitary Fermionic Linear Optics (FLO), or matchgate circuits, has become a fundamental tool in quantum information. Such capability enables a large number of applications…