Quantum advantage in learning from experiments

HY Huang, M Broughton, J Cotler, S Chen, J Li… - Science, 2022 - science.org
Quantum technology promises to revolutionize how we learn about the physical world. An
experiment that processes quantum data with a quantum computer could have substantial …

Information-theoretic bounds on quantum advantage in machine learning

HY Huang, R Kueng, J Preskill - Physical Review Letters, 2021 - APS
We study the performance of classical and quantum machine learning (ML) models in
predicting outcomes of physical experiments. The experiments depend on an input …

The complexity of NISQ

S Chen, J Cotler, HY Huang, J Li - Nature Communications, 2023 - nature.com
The recent proliferation of NISQ devices has made it imperative to understand their power. In
this work, we define and study the complexity class NISQ, which encapsulates problems that …

Exponential separations between learning with and without quantum memory

S Chen, J Cotler, HY Huang, J Li - 2021 IEEE 62nd Annual …, 2022 - ieeexplore.ieee.org
We study the power of quantum memory for learning properties of quantum systems and
dynamics, which is of great importance in physics and chemistry. Many state-of-the-art …

Quantum algorithmic measurement

D Aharonov, J Cotler, XL Qi - Nature communications, 2022 - nature.com
There has been recent promising experimental and theoretical evidence that quantum
computational tools might enhance the precision and efficiency of physical experiments …

Entanglement-enabled advantage for learning a bosonic random displacement channel

C Oh, S Chen, Y Wong, S Zhou, HY Huang… - Physical Review Letters, 2024 - APS
We show that quantum entanglement can provide an exponential advantage in learning
properties of a bosonic continuous-variable (CV) system. The task we consider is estimating …

Tight bounds on Pauli channel learning without entanglement

S Chen, C Oh, S Zhou, HY Huang, L Jiang - Physical Review Letters, 2024 - APS
Quantum entanglement is a crucial resource for learning properties from nature, but a
precise characterization of its advantage can be challenging. In this Letter, we consider …

Quantum advantages for Pauli channel estimation

S Chen, S Zhou, A Seif, L Jiang - Physical Review A, 2022 - APS
We show that entangled measurements provide an exponential advantage in sample
complexity for Pauli channel estimation, which is both a fundamental problem and a …

Improved quantum data analysis

C Bădescu, R O'Donnell - Proceedings of the 53rd Annual ACM SIGACT …, 2021 - dl.acm.org
We provide more sample-efficient versions of some basic routines in quantum data analysis,
along with simpler proofs. Particularly, we give a quantum” Threshold Search” algorithm that …

Optimal tradeoffs for estimating Pauli observables

S Chen, W Gong, Q Ye - 2024 IEEE 65th Annual Symposium …, 2024 - ieeexplore.ieee.org
We revisit the problem of Pauli shadow tomography: given copies of an unknown n-qubit
quantum state ρ, estimate Tr (Pρ) for some set of Pauli operators F to within additive error ϵ …