A talk that I have given:
Urs Schreiber on joint work with Hisham Sati:
Topological Quantum Gates from M-Theory
talk at:
New York University, Abu Dhabi,
12-15 Jan 2023
talk notes: pdf
video: YT
Abstract. The promising idea that strongly coupled quantum systems such as (confined QCD or) topologically ordered quantum materials are usefully modeled as worldvolume dynamics on intersecting branes in string theory has been suffering from the latter’s lack of non-perturbative formulation (M-theory), necessary in the realistic regime of small numbers of individual branes (i.e. beyond the usual holographic large-$N$ approximation). In this talk I will briefly review our “Hypothesis H” that brane charge in M-theory is quantized in a twisted equivariant non-abelian generalized cohomology theory called Cohomotopy, where M-brane quantum states are identified inside the twisted equivariant cohomology of the Cohomotopy moduli stack. Then I explain our recent derivation, from this assumption, of anyonic topological order in ground states of M5-brane intersections; and I close with an outlook on how this describes topological quantum logic gates via braiding of defect branes.
Based on:
Anyonic defect branes in TED-K-theory
Rev. Math. Phys. (2023)
Anyonic topological order in TED K-theory
Rev. Math. Phys. (2023)
Topological Quantum Programming in TED-K
PlanQC 2022 33 (Sep 2022)
Related talks:
Some Quantum States of M-Branes under Hypothesis H
talk at Centre for Research in String Theory
Queen Mary University London, 2021
Anyonic Defect Branes in TED-K-Theory
TED K-theory of Cohomotopy moduli spaces and Anyonic Topological Order
talk at Higher Structures and Field Theory,
ESI Vienna, 25 Aug 2022
Knots for quantum computation from defect branes
talk at Workshop on Topological Methods in Mathematical Physics
Erice, 2-6 Sep 2022
Last revised on March 10, 2023 at 04:47:38. See the history of this page for a list of all contributions to it.