# Measurement-Only Topological Quantum Computation via Anyonic Interferometry

@article{Bonderson2008MeasurementOnlyTQ, title={Measurement-Only Topological Quantum Computation via Anyonic Interferometry}, author={Parsa Bonderson and Michael H. Freedman and C. Nayak}, journal={arXiv: Quantum Physics}, year={2008} }

## 58 Citations

Measurement-Based Quantum Computation and Symmetry-Protected Topological Order

- Physics
- 2017

While quantum computers can achieve dramatic speedups over the classical computers familiar to us, identifying the origin of this quantum advantage in physical systems remains a major goal of quantum…

Topological Quantum Computation—From Basic Concepts to First Experiments

- Physics, MedicineScience
- 2013

This work reviews the basic concepts of non-Abelian phases and their topologically protected use in quantum information processing tasks and discusses different possible realizations of these concepts in experimentally available solid-state systems, including systems hosting Majorana fermions, their recently proposed fractional counterparts, and non- Abelian quantum Hall states.

Adiabatic topological quantum computing

- Physics
- 2015

Topological quantum computing promises error-resistant quantum computation without active error correction. However, there is a worry that during the process of executing quantum gates by braiding…

Interferometric Versus Projective Measurement of Anyons

- Physics, Computer ScienceTQC
- 2015

It is shown that interferometric measurement is strictly stronger: Any protocol involving projective measurement can be simulated at low overhead by another protocol involving only interferometry measurement.

Systematic distillation of composite Fibonacci anyons using one mobile quasiparticle

- Physics, Computer ScienceQuantum Inf. Comput.
- 2012

It is shown how to simulate universal quantum computation by braiding one quasiparticle and with only one measurement, to read out the result.

Quantum Computing with Octonions

- Physics, Mathematics
- 2018

There are two schools of "measurement-only quantum computation". The first ([11]) using prepared entanglement (cluster states) and the second ([4]) using collections of anyons, which according to how…

Topological quantum computation within the anyonic system the Kauffman–Jones version of SU(2) Chern–Simons theory at level 4

- Mathematics, Computer ScienceQuantum Inf. Process.
- 2016

By braiding and measuring anyons, we realize irrational qubit and qutrit phase gates within the anyonic system the Kauffman-Jones version of SU(2) Chern-Simons theory at level 4. We obtain…

Braiding of non-Abelian anyons using pairwise interactions.

- Physics
- 2013

The common approach to topological quantum computation is to implement quantum gates by adiabatically moving non-Abelian anyons around each other. Here we present an alternative perspective based on…

Number-conserving analysis of measurement-based braiding with Majorana zero modes

- Physics
- 2020

Majorana-based quantum computation seeks to encode information nonlocally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence…

Certified Quantum Measurement of Majorana Fermions.

- Medicine, PhysicsPhysical review. A
- 2020

It is shown that observing a set of ideal measurement statistics implies anti-commutativity of the implemented Majorana fermion parity operators, a necessary prerequisite for Majorana detection.

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