We will discuss the existence of rational (multi)sections and
unirulings for projective families f:X?CP1 with at most two
singular fibres. In particular, we will discuss two ingredients
that are used to construct the above algebraic curves. The...
The connections between disordered quantum systems (specifically
the SYK model), ensemble averaging, and two-dimensional dilaton
gravity underlie much of the recent progress on holography and
quantum gravity. I will discuss simple disordered systems...
The continuous min flow-max cut principle is used to
reformulate the 'complexity=volume' conjecture using Lorentzian
flows. Conceptually, discretized flows are interpreted in terms of
`gatelines', one-dimensional time-like curves that connect...
Although it is known that AdS/CFT as a quantum erasure
correction code is only approximate, there is still much to learn
about the precise bulk physical consequences of deviating from
exact erasure correction codes. In this talk, I will take...
Computing the entropy of probability distributions and quantum
states is a fundamental task in information processing. In this
talk I'll discuss recent work with Matty Hoban (arXiv:2002.12814)
in which we show that estimating the entropy of quantum...
The spread of a matrix is defined as the diameter of its
spectrum. This quantity has been well-studied for general matrices
and has recently grown in popularity for the specific case of the
adjacency matrix of a graph. Most notably, Gregory...
The ABNNR encoding is a classical encoding scheme that amplifies
the distance of an error correcting code. The encoding takes an
error correcting code with a small distance and constructs an error
correcting code with distance approaching one, by...
We introduce a theoretical framework to study experimental
physics using quantum complexity theory. This allows us to address:
what is the computational complexity of an experiment? For several
'model' experiments, we prove that there is an...
We take the tensor network describing explicit p-adic CFT
partition functions proposed in 1902.01411, and consider boundary
conditions of the network describing a deformed Bruhat-Tits (BT)
tree geometry. We demonstrate that this geometry satisfies...