# Quantum spin models for measurement-based quantum computation

@article{Wei2018QuantumSM, title={Quantum spin models for measurement-based quantum computation}, author={Tzu-Chieh Wei}, journal={Advances in Physics: X}, year={2018}, volume={3} }

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 entangled state. It thus uses entanglement as the resource that drives computation. We give a pedagogical treatment on the basics, and then review some selected developments beyond graph states, including Affleck–Kennedy–Lieb–Tasaki states and more recent 2D symmetry-protected topological states. We point out some open…

## 13 Citations

Measurement-Based Quantum Computation

- Computer Science, PhysicsOxford Research Encyclopedia of Physics
- 2021

The measurement-based approach offers a potential alternative to the standard circuit approach to realize a practical quantum computer and provides useful connections to the emergence of time ordering, computational complexity and classical spin models, blind quantum computation, etc.

Quantum computation by teleportation and symmetry

- PhysicsInternational Journal of Modern Physics B
- 2019

A preliminary overview of measurement-based quantum computation (QC) in the setting of symmetry and topological (TOP) phases of quantum matter is given. The underlying mechanism for universal QC by…

Reconstructing Hamiltonians from Correlations and Entanglement

- Physics
- 2021

Introduction. Identification of Hamiltonians that describe the important degrees of freedom in quantum matter is the usual first step toward understanding their behavior. However, first-principles…

Generation of photonic matrix product states with Rydberg atomic arrays

- Physics
- 2021

We show how one can deterministically generate photonic matrix product states with high bond and physical dimensions with an atomic array if one has access to a Rydberg-blockade mechanism. We develop…

Generation of Photonic Matrix Product States with a Rydberg-Blockaded Atomic Array

- Physics
- 2020

In this work, we show how one can deterministically generate photonic matrix product states with high bond and physical dimensions with an atomic array if one has access to a Rydberg-blockade…

Universal quantum computation using fractal symmetry-protected cluster phases

- PhysicsPhysical Review A
- 2018

We show that 2D fractal subsystem symmetry-protected topological phases may serve as resources for universal measurement-based quantum computation. This is demonstrated explicitly for two cluster…

Entanglement and avoided crossing dynamics in the disordered Majumdar-Ghosh model

- PhysicsPhysica Scripta
- 2021

We study the ground and first excited state of the finite one dimensional Majumdar-Ghosh model with quenched disorder about the avoided crossings. We find a relation between the shift of the first…

Quantum image restoration based on Hudson-Parthasarathy Schrodinger equation

- Computer Science, MathematicsQuantum Inf. Process.
- 2019

This work includes a theoretical display of the Schrodinger evolution in the presence of classical randomness and the results demonstrate the marked superiority of the proposed algorithm over the existing classical denoising scheme.

Affleck–Kennedy–Lieb–Tasaki Model

- Physics
- 2020

In 1987, Affleck, Kennedy, Lieb, and Tasaki proposed a one-dimensional \(S=1\) antiferromagnetic quantum spin model, now called the AKLT model, whose ground state can be written down explicitly. It…

AKLT models on decorated square lattices are gapped

- Physics, MathematicsPhysical Review B
- 2019

The nonzero spectral gap of the original two-dimensional Affleck-Kennedy-Lieb-Tasaki (AKLT) models has remained unproven for more than three decades. Recently, Abdul-Rahman et al. (arXiv:1901.09297)…

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