The randomized measurement toolbox

A Elben, ST Flammia, HY Huang, R Kueng… - Nature Reviews …, 2023 - nature.com
Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …

Avoiding barren plateaus using classical shadows

SH Sack, RA Medina, AA Michailidis, R Kueng… - PRX Quantum, 2022 - APS
Variational quantum algorithms are promising algorithms for achieving quantum advantage
on near-term devices. The quantum hardware is used to implement a variational wave …

Shadow estimation of gate-set properties from random sequences

J Helsen, M Ioannou, J Kitzinger, E Onorati… - Nature …, 2023 - nature.com
With quantum computing devices increasing in scale and complexity, there is a growing
need for tools that obtain precise diagnostic information about quantum operations …

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 …

Quantum verification and estimation with few copies

J Morris, V Saggio, A Gočanin… - Advanced Quantum …, 2022 - Wiley Online Library
As quantum technologies advance, the ability to generate increasingly large quantum states
has experienced rapid development. In this context, the verification and estimation of large …

Learning properties of quantum states without the IID assumption

O Fawzi, R Kueng, D Markham, A Oufkir - Nature Communications, 2024 - nature.com
We develop a framework for learning properties of quantum states beyond the assumption of
independent and identically distributed (iid) input states. We prove that, given any learning …

Designs via free probability

M Fava, J Kurchan, S Pappalardi - arxiv preprint arxiv:2308.06200, 2023 - arxiv.org
Unitary Designs have become a vital tool for investigating pseudorandomness since they
approximate the statistics of the uniform Haar ensemble. Despite their central role in …

Optimizing quantum tomography via shadow inversion

A Caprotti, J Morris, B Dakić - Physical Review Research, 2024 - APS
In quantum information theory, the accurate estimation of observables is pivotal for quantum
information processing, playing a crucial role in computational and communication …

Minimal-Clifford shadow estimation by mutually unbiased bases

Q Zhang, Q Liu, Y Zhou - Physical Review Applied, 2024 - APS
Predicting properties of large-scale quantum systems is crucial for the development of
quantum science and technology. Shadow estimation is an efficient method for this task …

Sample-efficient device-independent quantum state verification and certification

A Gočanin, I Šupić, B Dakić - PRX Quantum, 2022 - APS
Authentication of quantum sources is a crucial task in building reliable and efficient protocols
for quantum-information processing. Steady progress vis-à-vis verification of quantum …