Mixed-state entanglement from local randomized measurements

A Elben, R Kueng, HY Huang, R van Bijnen, C Kokail… - Physical Review Letters, 2020 - APS
We propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …

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 …

Symmetry-resolved dynamical purification in synthetic quantum matter

V Vitale, A Elben, R Kueng, A Neven, J Carrasco… - SciPost Physics, 2022 - scipost.org
When a quantum system initialized in a product state is subjected to either coherent or
incoherent dynamics, the entropy of any of its connected partitions generically increases as …

Single-copies estimation of entanglement negativity

Y Zhou, P Zeng, Z Liu - Physical Review Letters, 2020 - APS
Entanglement plays a central role in quantum information processing and quantum physics.
However, few effective ways are known to detect the amount of entanglement of an unknown …

Quantum scrambling with classical shadows

RJ Garcia, Y Zhou, A Jaffe - Physical Review Research, 2021 - APS
Quantum dynamics is of fundamental interest and has implications in quantum information
processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to …

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 …

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 …

Direct fidelity estimation of quantum states using machine learning

X Zhang, M Luo, Z Wen, Q Feng, S Pang, W Luo… - Physical Review Letters, 2021 - APS
In almost all quantum applications, one of the key steps is to verify that the fidelity of the
prepared quantum state meets expectations. In this Letter, we propose a new approach …

Robust and efficient verification of graph states in blind measurement-based quantum computation

Z Li, H Zhu, M Hayashi - npj Quantum Information, 2023 - nature.com
Blind quantum computation (BQC) is a secure quantum computation method that protects
the privacy of clients. Measurement-based quantum computation (MBQC) is a promising …

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 …