Random quantum circuits are approximate unitary -designs in depth

J Haferkamp - Quantum, 2022 - quantum-journal.org
The applications of random quantum circuits range from quantum computing and quantum
many-body systems to the physics of black holes. Many of these applications are related to …

Pseudorandom quantum states

Z Ji, YK Liu, F Song - Advances in Cryptology–CRYPTO 2018: 38th Annual …, 2018 - Springer
We propose the concept of pseudorandom quantum states, which appear random to any
quantum polynomial-time adversary. It offers a computational approximation to perfectly …

Emergent quantum state designs from individual many-body wave functions

JS Cotler, DK Mark, HY Huang, F Hernandez, J Choi… - PRX quantum, 2023 - APS
Quantum chaos in many-body systems provides a bridge between statistical and quantum
physics with strong predictive power. This framework is valuable for analyzing properties of …

Closing gaps of a quantum advantage with short-time Hamiltonian dynamics

J Haferkamp, D Hangleiter, A Bouland, B Fefferman… - Physical Review Letters, 2020 - APS
Demonstrating a quantum computational speed-up is a crucial milestone for near-term
quantum technology. Recently, sampling protocols for quantum simulators have been …

A simple protocol for certifying graph states and applications in quantum networks

D Markham, A Krause - Cryptography, 2020 - mdpi.com
We present a simple protocol for certifying graph states in quantum networks using stabiliser
measurements. The certification statements can easily be applied to different protocols using …

Observation of entanglement transition of pseudo-random mixed states

T Liu, S Liu, H Li, H Li, K Huang, Z Xiang… - Nature …, 2023 - nature.com
Random quantum states serve as a powerful tool in various scientific fields, including
quantum supremacy and black hole physics. It has been theoretically predicted that …

Geometric measure of entanglement of multi-qubit graph states and its detection on a quantum computer

KP Gnatenko, NA Susulovska - Europhysics Letters, 2022 - iopscience.iop.org
Multi-qubit graph states generated by the action of controlled phase shift operators on a
separable quantum state of a system, in which all the qubits are in arbitrary identical states …

[HTML][HTML] Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer

KP Gnatenko, VM Tkachuk - Physics Letters A, 2021 - Elsevier
We consider graph states generated by operator of evolution with Ising Hamiltonian. The
geometric measure of entanglement of a spin with other spins in the graph state is obtained …

Detecting scrambling via statistical correlations between randomized measurements on an NMR quantum simulator

X Nie, Z Zhang, X Zhao, T Xin, D Lu, J Li - arXiv preprint arXiv:1903.12237, 2019 - arxiv.org
Out-of-time-order correlator (OTOC), been suggested as a measure of quantum information
scrambling in quantum many-body systems, has received enormous attention recently. The …

Experimental implementation of efficient quantum pseudorandomness on a 12-spin system

J Li, Z Luo, T Xin, H Wang, D Kribs, D Lu, B Zeng… - Physical Review Letters, 2019 - APS
Quantum pseudorandomness, also known as unitary designs, comprises a powerful
resource for emergent quantum technologies. Although in theory pseudorandom unitary …