Recent advances in classical machine learning have shown that creating models with
inductive biases encoding the symmetries of a problem can greatly improve performance …

Does gravity constrain computation? We study this question using the AdS/CFT
correspondence, where computation in the presence of gravity can be related to non …

We study representation theory of the partially transposed permutation matrix algebra, a
matrix representation of the diagrammatic walled Brauer algebra. This algebra plays a …

Unitary equivariance is a natural symmetry that occurs in many contexts in physics and
mathematics. Optimization problems with such symmetry can often be formulated as …

In this paper, we provide the first efficient algorithm for port-based teleportation, a unitarily
equivariant version of teleportation useful for constructing programmable quantum …

Quantum teleportation is a quantum communication primitive that allows a long-distance
quantum channel to be built using pre-shared entanglement and one-way classical …

Port-based teleportation (PBT) is a variant of quantum teleportation that, unlike the canonical
protocol by Bennett et al., does not require a correction operation on the teleported state …

In this manuscript we analyse generalised port-based teleportation (PBT) schemes, allowing
for transmitting more than one unknown quantum state (or a composite quantum state) in …

A fundamental model of quantum computation is the programmable quantum gate array.
This is a quantum processor that is fed by a program state that induces a corresponding …

Quantum cloning is a fundamental protocol of quantum information theory. Perfect universal
quantum cloning is prohibited by the laws of quantum mechanics, only imperfect copies …