14 citations · 76 across the 23 of their papers we have counts for
29 papers
The swap transpose on couplings translates to Petz' recovery map on quantum channels
Gergely Bunth, József Pitrik, Tamás Titkos +1
In [Ann. Henri Poincaré, {\bf 22} (2021), 3199-3234], De Palma and Trevisan described a one-to-one correspondence between quantum couplings and quantum channels realizing transport…
Wasserstein Rigidity over with smooth norms
Zoltán M. Balogh, Eric Ströher, Tamás Titkos +1
We study Wasserstein spaces over equipped with a norm metric . We show that, if the norm is smooth enough, then the Wass…
Strong Kantorovich duality for quantum optimal transport with generic cost and optimal couplings on quantum bits
Gergely Bunth, József Pitrik, Tamás Titkos +1
We prove Kantorovich duality for a linearized version of a recently proposed non-quadratic quantum optimal transport problem, where quantum channels realize the transport. As an ap…
Rigid and flexible Wasserstein spaces
Zoltán M. Balogh, Eric Ströher, Tamás Titkos +1
In this paper, we study isometries of -Wasserstein spaces. In our first result, for every complete and separable metric space and for every , we construct a metric s…
Wasserstein distances and divergences of order by quantum channels
Gergely Bunth, József Pitrik, Tamás Titkos +1
We introduce a non-quadratic generalization of the quantum mechanical optimal transport problem introduced in [De Palma and Trevisan, Ann. Henri Poincaré, {\bf 22} (2021), 3199-323…
Isometric rigidity of the Wasserstein space over the plane with the maximum metric
Zoltán M. Balogh, Gergely Kiss, Tamás Titkos +1
We study -Wasserstein spaces over the branching spaces and equipped with the maximum norm metric. We show that these spaces are isometrically rigid for…