Shallow shadows: Expectation estimation using low-depth random Clifford circuits
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 …
a small number of measurements. Specifically, we present a randomized measurement …
Random unitaries in extremely low depth
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 …
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
Monitored quantum dynamics—unitary evolution interspersed with measurements—has
recently emerged as a rich domain for phase structure in quantum many-body systems away …
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 …
learning from experiments in which only classical memory and processing are available …
Classical shadow tomography with locally scrambled quantum dynamics
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 …
finite-time local unitary ensembles, known as locally scrambled quantum dynamics, where …
Operator relaxation and the optimal depth of classical shadows
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 …
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 …
and exciting challenge. Most prominent candidates as variational algorithms typically aim to …
Measurement-induced criticality is tomographically optimal
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 …
scheme based on hybrid quantum circuits, which consist of layers of two-qubit random …
Hybrid tree tensor networks for quantum simulation
Hybrid tensor networks (hTNs) offer a promising solution for encoding variational quantum
states beyond the capabilities of efficient classical methods or noisy quantum computers …
states beyond the capabilities of efficient classical methods or noisy quantum computers …
Randomness-enhanced expressivity of quantum neural networks
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 …
(QNNs) have gained significant attention as a promising application on near-term, noisy …