Dynamics of Loschmidt echoes and fidelity decay

T Gorin, T Prosen, TH Seligman, M Žnidarič - Physics Reports, 2006 - Elsevier
Fidelity serves as a benchmark for the reliability in quantum information processes, and has
recently attracted much interest as a measure of the susceptibility of dynamics to …

Quantum computing with NMR

JA Jones - Progress in nuclear magnetic resonance spectroscopy, 2011 - Elsevier
Quantum computers [1–4] are explicitly quantum mechanical systems that use phenomena
such as superposition and entanglement to perform computational tasks more efficiently …

Characterizing quantum supremacy in near-term devices

S Boixo, SV Isakov, VN Smelyanskiy, R Babbush… - Nature Physics, 2018 - nature.com
A critical question for quantum computing in the near future is whether quantum devices
without error correction can perform a well-defined computational task beyond the …

[图书][B] Quantum theory: concepts and methods

A Peres - 1997 - Springer
There are many excellent books on quantum theory from which one can learn to compute
energy levels, transition rates, cross sections, etc. The theoretical rules given in these books …

Chaos and the quantum phase transition in the Dicke model

C Emary, T Brandes - Physical Review E, 2003 - APS
We investigate the quantum-chaotic properties of the Dicke Hamiltonian; a quantum-optical
model that describes a single-mode bosonic field interacting with an ensemble of N two …

Simulation of low-depth quantum circuits as complex undirected graphical models

S Boixo, SV Isakov, VN Smelyanskiy… - arXiv preprint arXiv …, 2017 - arxiv.org
Near term quantum computers with a high quantity (around 50) and quality (around 0.995
fidelity for two-qubit gates) of qubits will approximately sample from certain probability …

64-qubit quantum circuit simulation

ZY Chen, Q Zhou, C Xue, X Yang, GC Guo, GP Guo - Science Bulletin, 2018 - Elsevier
Classical simulations of quantum circuits are limited in both space and time when the qubit
count is above 50, the realm where quantum supremacy reigns. However, recently, for the …

An image encryption scheme based on quantum logistic map

A Akhshani, A Akhavan, SC Lim, Z Hassan - Communications in Nonlinear …, 2012 - Elsevier
The topic of quantum chaos has begun to draw increasing attention in recent years. While a
satisfactory definition for it is not settled yet in order to differentiate between its classical …

Novel image encryption based on quantum walks

YG Yang, QX Pan, SJ Sun, P Xu - Scientific reports, 2015 - nature.com
Quantum computation has achieved a tremendous success during the last decades. In this
paper, we investigate the potential application of a famous quantum computation model, ie …

Digital quantum simulation, trotter errors, and quantum chaos of the kicked top

LM Sieberer, T Olsacher, A Elben, M Heyl… - npj Quantum …, 2019 - nature.com
This work aims at giving Trotter errors in digital quantum simulation (DQS) of collective spin
systems an interpretation in terms of quantum chaos of the kicked top. In particular, for DQS …