Author

Lukas Schmitt

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Preprint Aug 2026

Essentially optimal gate teleportation

Gate teleportation allows us to implement a nonlocal unitary using local operations, classical communication (LOCC), and a shared entangled state. Known deterministic teleportation protocols consume at least one full ebit and achieve optimal entanglement consumption only for Clifford gates. Here, we present a determini...

Lukas Schmitt, David Sutter · 0 citations

Preprint Sep 2026

Relative entropy representations via tracial joint spectral measures

We show that for positive semidefinite $A$ and $B$ the relative entropy can be written as $D(A\|B)=2\int a\log(a/b)\,\mathrm{d}\mu_{A,B}(a,b)$, where $\mu_{A,B}$ denotes Hein\"avaara's tracial joint spectral measure. This allows us to obtain a unified derivation of several known integral representations of relative ent...

Lukas Schmitt · 0 citations