Author

T. Osborne

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Preprint Sep 2026

A Quantum Algorithm for $st$-Transport on Flat Connection Graphs

We study a generalization of undirected $st$-connectivity to graphs whose edges carry quantum operations. Let $G=(V,E)$ be an undirected graph on $n$ vertices in which each edge $\{u,v\}$ is labeled by a unitary $U_{uv}\in\mathbb{C}^{k\times k}$, with $U_{vu}=U_{uv}^\dagger$. We assume the labels form a \emph{flat} con...

Stacey Jeffery, T. Osborne, Galina Pass · 1 citation

Preprint Aug 2026

Quantum steering is equivalent to state-preserving conditional expectations

In systems with infinitely many degrees of freedom, fundamental results from quantum information theory can fail. An important example is the uniqueness of purifications: Even when two subsystems, described by commuting von Neumann algebras $A$ and $B$, are tomographically complete, purifications of a state on $A$ need...

Lauritz van Luijk, Amine Marrakchi, T. Osborne et al. · 4 citations