Shallow shadows: Expectation estimation using low-depth random Clifford circuits

C Bertoni, J Haferkamp, M Hinsche, M Ioannou… - Physical Review Letters, 2024 - APS
We provide practical and powerful schemes for learning properties of a quantum state using
a small number of measurements. Specifically, we present a randomized measurement …

Random unitaries in extremely low depth

T Schuster, J Haferkamp, HY Huang - arxiv preprint arxiv:2407.07754, 2024 - arxiv.org
We prove that random quantum circuits on any geometry, including a 1D line, can form
approximate unitary designs over $ n $ qubits in $\log n $ depth. In a similar manner, we …

Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows

M Ippoliti, V Khemani - PRX Quantum, 2024 - APS
Monitored quantum dynamics—unitary evolution interspersed with measurements—has
recently emerged as a rich domain for phase structure in quantum many-body systems away …

Learning quantum processes and Hamiltonians via the Pauli transfer matrix

MC Caro - ACM Transactions on Quantum Computing, 2024 - dl.acm.org
Learning about physical systems from quantum-enhanced experiments can outperform
learning from experiments in which only classical memory and processing are available …

Classical shadow tomography with locally scrambled quantum dynamics

HY Hu, S Choi, YZ You - Physical Review Research, 2023 - APS
We generalize the classical shadow tomography scheme to a broad class of finite-depth or
finite-time local unitary ensembles, known as locally scrambled quantum dynamics, where …

Operator relaxation and the optimal depth of classical shadows

M Ippoliti, Y Li, T Rakovszky, V Khemani - Physical Review Letters, 2023 - APS
Classical shadows are a powerful method for learning many properties of quantum states in
a sample-efficient manner, by making use of randomized measurements. Here we study the …

Training variational quantum circuits with CoVaR: covariance root finding with classical shadows

G Boyd, B Koczor - Physical Review X, 2022 - APS
Exploiting near-term quantum computers and achieving practical value is a considerable
and exciting challenge. Most prominent candidates as variational algorithms typically aim to …

Measurement-induced criticality is tomographically optimal

AA Akhtar, HY Hu, YZ You - Physical Review B, 2024 - APS
We develop a classical shadow tomography protocol utilizing the randomized measurement
scheme based on hybrid quantum circuits, which consist of layers of two-qubit random …

Hybrid tree tensor networks for quantum simulation

J Schuhmacher, M Ballarin, A Baiardi, G Magnifico… - PRX Quantum, 2025 - APS
Hybrid tensor networks (hTNs) offer a promising solution for encoding variational quantum
states beyond the capabilities of efficient classical methods or noisy quantum computers …

Randomness-enhanced expressivity of quantum neural networks

Y Wu, J Yao, P Zhang, X Li - Physical Review Letters, 2024 - APS
As a hybrid of artificial intelligence and quantum computing, quantum neural networks
(QNNs) have gained significant attention as a promising application on near-term, noisy …