[HTML][HTML] Analysing quantum systems with randomised measurements

P Cieśliński, S Imai, J Dziewior, O Gühne, L Knips… - Physics Reports, 2024‏ - Elsevier
Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …

Statistical methods for quantum state verification and fidelity estimation

XD Yu, J Shang, O Gühne - Advanced Quantum Technologies, 2022‏ - Wiley Online Library
The efficient and reliable certification of quantum states is essential for various quantum
information processing tasks as well as for the general progress on the implementation of …

Shadow tomography based on informationally complete positive operator-valued measure

A Acharya, S Saha, AM Sengupta - Physical Review A, 2021‏ - APS
Recently introduced shadow tomography protocols use “classical shadows” of quantum
states to predict many target functions of an unknown quantum state. Unlike full quantum …

Characterizing entanglement dimensionality from randomized measurements

S Liu, Q He, M Huber, O Gühne, G Vitagliano - PRX Quantum, 2023‏ - APS
We consider the problem of detecting the dimensionality of entanglement with the use of
correlations between measurements in randomized directions. First, exploiting the recently …

General framework for verifying pure quantum states in the adversarial scenario

H Zhu, M Hayashi - Physical Review A, 2019‏ - APS
Bipartite and multipartite entangled states are of central interest in quantum information
processing and foundational studies. Efficient verification of these states, especially in the …

Efficient verification of hypergraph states

H Zhu, M Hayashi - Physical Review Applied, 2019‏ - APS
Graph states and hypergraph states are of wide interest in quantum information processing
and foundational studies. Efficient verification of these states is a key to various applications …

Entanglement content of quasiparticle excitations

OA Castro-Alvaredo, C De Fazio, B Doyon… - Physical review …, 2018‏ - APS
We investigate the quantum entanglement content of quasiparticle excitations in extended
many-body systems. We show that such excitations give an additive contribution to the …

Optimal verification and fidelity estimation of maximally entangled states

H Zhu, M Hayashi - Physical Review A, 2019‏ - APS
We study the verification of maximally entangled states by virtue of the simplest
measurement settings: local projective measurements without adaption. We show that …

Efficient verification of Dicke states

YC Liu, XD Yu, J Shang, H Zhu, X Zhang - Physical Review Applied, 2019‏ - APS
Among various multipartite entangled states, Dicke states stand out because their
entanglement is maximally persistent and robust under particle losses. Although they have …

Experimental few-copy multipartite entanglement detection

V Saggio, A Dimić, C Greganti, LA Rozema, P Walther… - Nature physics, 2019‏ - nature.com
Many future quantum technologies rely on the generation of entangled states. Quantum
devices will require verification of their operation below some error threshold, but the …