Date: Friday 30th June

Topic: Negativity-based Bounds on the Entanglement of Formation

Who: Steve Flammia

Seminar type: Research Seminar

Time: 12 Midday

Where: Interaction Room

Abstract:
The entanglement of formation (EoF) is a physically interesting quantity that is in general quite difficult to calculate. Lower bounds on the EoF are interesting because they allow upper bounds on physical resource requirements needed for quantum information processing tasks which require entanglement. Previous efforts at bounding the EoF involve constrained minimization of the entanglement entropy. Since the entropy is a concave (as opposed to convex) function, this minimization procedure is difficult, especially when more than one constraint is imposed. All previous efforts have focused on the single-constraint case, and are often useless for bounding the EoF of, for instance, states with a positive partial transpose. I will discuss recent work (still very much in progress) on obtaining bounds in the double-constraint case which are applicable to a wider range of states than previous work, and include improvements on the lower bounds for many bound-entangled states.

Date: Tuesday 11th July

Time: 4-5pm

Who: Steve Flammia

Where: Conference Room

Tutorial outline
Particle labels, fusion and braiding. States as spacetime diagrams. The “F” and “B” matrices. The pentagon and hexagon equations. Chern-Simons theory.

Date: Tuesday 4th July

Time: 4-5pm

Who: Steve Flammia

Where: Conference Room

Tutorial outline
The S-matrix and the Verlinde formula. How to calculate braiding and fusion rules for non-Abelian anyons in the Drinfeld quantum double.

Date: Tuesday 27th June

Time: 4-5pm

Who: Steve Flammia

Where: Conference Room

Tutorial outline:
Braiding of charges and fluxes in a non-Abelian gauge theory. Drinfeld’s quantum double construction. Calculation of the particle spectrum.

Date: Thursday 22nd June

Time: 4-5pm

Who: Steve Flammia

Where: Conference Room

Tutorial outline:
Abelian anyons and the Aharonov-Bohm effect. Heuristic description of non-Abelian anyons and the Wilczek model. Motivation for computing with non-Abelian anyons.