Fault Tolerant Quantum Computation and the Entanglement Structure of Many-Body Systems

Speaker:Iman Marvian
Date: Tuesday, March 21, 2017
Time: 12:00pm - 1:00pm
Location: 207 Hudson Hall, Duke
Lunch will be served.

Abstract

One of the most important achievements in the field of quantum computation is the discovery of quantum error-correcting codes and other methods for fault-tolerant quantum computation, which has found far-reaching applications in other areas of physics, from topological order to quantum gravity. However, the theory of fault-tolerant quantum computation is mostly developed based on the standard circuit model of quantum computation and cannot be directly applied to other models. In this talk, I will discuss different aspects of fault tolerance in two other models of quantum computation, namely Adiabatic Quantum Computation, and Measurement-Based Quantum Computation (MBQC). I explain how fault tolerance is related to the entanglement structure of many-body systems. Also, I discuss an intriguing connection between fault tolerance in the context of MBQC and the notion of Symmetry-Protected Topological (SPT) order. Inspired by this connection, I introduce a new order parameter, which detects the presence of SPT order in the system based on its entanglement structure.

Biography

I am currently a postdoctoral researcher at the Research Laboratory of Electronics, at Massachusetts Institute of Technology. Before that, I was a postdoctoral researcher at the Viterbi school of engineering and the department of physics at the University of Southern California. I have received my PhD degree in physics in June 2013, at the University of Waterloo and Perimeter Institute for theoretical physics under the supervision of Dr. Robert W. Spekkens and Professor Michele Mosca. I have a Bachelor’s degree in Electrical Engineering and a Master’s degree in physics. My main research interest is quantum information and computation theory. I have worked on a wide range of topics in this field, such as decoherence and error suppression in open quantum systems, fault tolerance in adiabatic quantum computation and measurement-based quantum computation, quantum algorithms, resource theory of asymmetry and coherence, symmetry-protected topological order, quantum metrology, and quantum speed limits.

Hosted by:
Jungsang Kim