### A Hamiltonian recipe

An explicit recipe for defining the Hamiltonian in general probabilistic theories, which have the potential to generalise quantum theory.

### One-shot statistic

One-shot analogs of fluctuation-theorem results help unify these two approaches for small-scale, nonequilibrium statistical physics.

### Quantum neural networks

We generalise neural networks into a quantum framework, demonstrating the possibility of quantum auto-encoders and teleportation.

### Quantum thermodynamics

Spectroscopy experiments show that energy shifts due to photon emission from individual molecules satisfy a fundamental quantum relation.

### Entropic equality for worst-case work at any protocol speed

A battery from which work is taken or given to a single heat bath.

### Tunnelling interpreted

In quantum tunnelling, a particle tunnels through a barrier that it classically could not surmount.

### Geometric phases and cyclic isotropic cosmologies

Does a scalar field maintain a quantum memory from previous bounces?

### Photonic Maxwell’s demon

By analogy with Maxwell’s original thought experiment, the setup uses energy extracted from a thermal system.

### A measure of majorization emerging from single-shot statistical mechanics

Abstract depiction of the set of states, including the initial state ρ and final state σ . Each state is associated wi

### Entanglement typicality

We provide a measure of purity of an entanglement state.