Quantum spin models for measurement-based quantum computation

TC Wei - Advances in Physics: X, 2018 - Taylor & Francis
Measurement-based quantum computation is different from other approaches for quantum
computation, in that everything needs to be done is only local measurement on a certain …

Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits

DT Stephen, WW Ho, TC Wei, R Raussendorf… - Physical Review Letters, 2024 - APS
A powerful tool emerging from the study of many-body quantum dynamics is that of dual-
unitary circuits, which are unitary even when read “sideways,” ie, along the spatial direction …

Computationally universal phase of quantum matter

R Raussendorf, C Okay, DS Wang, DT Stephen… - Physical review …, 2019 - APS
We provide the first example of a symmetry protected quantum phase that has universal
computational power. This two-dimensional phase is protected by one-dimensional linelike …

[HTML][HTML] Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter

DT Stephen, HP Nautrup, J Bermejo-Vega, J Eisert… - Quantum, 2019 - quantum-journal.org
Quantum phases of matter are resources for notions of quantum computation. In this work,
we establish a new link between concepts of quantum information theory and condensed …

Quantum communication and mixed-state order in decohered symmetry-protected topological states

Z Zhang, U Agrawal, S Vijay - arxiv preprint arxiv:2405.05965, 2024 - arxiv.org
Certain pure-state symmetry-protected topological orders (SPT) can be used as a resource
for transmitting quantum information. Here, we investigate the ability to transmit quantum …

Universal quantum computation using fractal symmetry-protected cluster phases

T Devakul, DJ Williamson - Physical Review A, 2018 - APS
We show that two-dimensional fractal subsystem symmetry-protected topological phases
may serve as resources for universal measurement-based quantum computation. This is …

Computational power of symmetry-protected topological phases

DT Stephen, DS Wang, A Prakash, TC Wei… - Physical review …, 2017 - APS
We consider ground states of quantum spin chains with symmetry-protected topological
(SPT) order as resources for measurement-based quantum computation (MBQC). We show …

One‐Way Quantum Computation

D Browne, H Briegel - Quantum information: From foundations …, 2016 - Wiley Online Library
In this book chapter, we provide a tutorial introduction to one‐way quantum computation and
many of the techniques one can use to understand it. The techniques which are described …

Fully device-independent model on quantum networks

MX Luo - Physical Review Research, 2022 - APS
The Bell inequality can provide a useful witness for device-independent applications with
quantum (or postquantum) eavesdroppers. This feature holds only for single entangled …

Symmetry-protected topological order at nonzero temperature

S Roberts, B Yoshida, A Kubica, SD Bartlett - Physical Review A, 2017 - APS
We address the question of whether symmetry-protected topological (SPT) order can persist
at nonzero temperature, with a focus on understanding the thermal stability of several …