Fundamental aspects of Topological Quantum Computing on quantum wire networks

Seminaria robocze kwantowej informacji i komputerów kwantowych

Tomasz

Maciążek

University of Bristol

December 3, 2020 3:15 PM

Firstly, I will briefly recall some general features of Topological Quantum Computing (TQC) which uses quasiparticles called anyons to perform quantum computations. One of the key requirements of TQC is the ability to manipulate (exchange) positions of anyons in space. Quantum wire networks are believed to provide a platform for engineering anyon manipulation most easily.

Secondly, I will explain how TQC can be realised on networks using the celebrated model supporting Majorana edge states in 1D superconducting chains. Importantly, using Majorana edge states in the most direct way does not lead to universal quantum gates. Hence, it is an important task to look for other physical systems that would allow for TQC on networks. I will approach this problem from the very fundamental perspective by studying topological properties of anyon exchange on networks which turn out to be strikingly different than what is known from 2D settings. My analysis shows that from such a fundamental perspective TQC on networks is richer in possibilities than TQC in 2D. I will focus on possible pathways towards constructing universal quantum gates.


__________________________________________________________________
Zoom meeting details

Topic: Quantum Information and Quantum Computing Working Group
Time: December 03, 2020, 3:15 PM Warsaw

Join Zoom Meeting link:
https://tinyurl.com/quantum-ctp

Meeting ID: 94552545103
Passcode: 323395

If you encounter any problems with connecting to the Zoom meeting, please email maciejewski@cft.edu.pl directly.