For Pauli stabilizer codes—such as surface codes and color
codes—transversal logical gates are strongly constrained by the
Bravyi–König bound. In particular, implementing a non-Clifford gate
transversally (as required for universality) demands three...
It is believed that topologically ordered gapped local
Hamiltonians in 2+1d consisting of commuting terms may not realize
a chiral anyon theory. There is even a formula that expresses the
chiral central charge of the edge theory as an integral of...
Conformal field theories in 3D are central to condensed-matter
and high-energy physics. Among them, critical gauge theories,
especially Chern-Simons-matter theories, stand out: They describe
transitions where one or both phases are topologically...
Entanglement Bootstrap is a research program to understand and
extract the universal data of quantum many body states from local
entanglement information. Since this universal data is
usually encoded in a quantum field theory, the program can
teach...
In this talk, I will discuss Cosmohedra. These are geometric
objects which encode the vacuum wavefunction for theories with
colored scalars with cubic interactions. I will start by
introducing the vacuum wavefunction, both in Minkowski and de
Sitter...
The $\epsilon$-expansion is a widely used technique to study
aspects of renormalization group flows and critical phenomena. In
this talk, I will discuss recent developments of the
$\epsilon$-expansion in the study of boundary and defect...
In a spacetime with asymptotically anti-de-Sitter boundaries,
localized bulk events produce characteristic signals at boundary
locations that are lightlike from the event. I will describe
(thought) experiments that use boundary wavepackets to...
I will explore one of the most profound open question in
particle physics, focusing on some exciting directions of my
ongoing research activity: the strong CP problem. I will begin with
an overview of the strong CP problem, highlighting proposed...
In large N theories with a gravity dual, generic heavy operators
should be dual to black holes in the bulk. The microscopic details
of such operators should then be irrelevant in the low energy
theory. We look for such universality in the strong...
I will discuss the path integral of pure 3D gravity on a finite
region of spacetime, with boundary conditions that fix dihedral
angles or geodesic lengths. This amplitude calculates corrections
to the Gaussian statistics of OPE coefficients in the...