Quantum resource transitivity

Gelo Noel Tabia^1,3*, Chung-Yun Hsieh², Yeong-Cherng Liang^1,3

¹Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung Univeristy, Tainan City, Taiwan
²School of Physics, University of Bristol, Bristol, England, UK
³Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan

* Presenter:Gelo Noel Tabia, email:gelo.tabia@gmail.com

The resource transitivity problem asks whether a collection of reduced states that are resourceful is compatible only with global states that are also resourceful in the target subsystem. The resource transitivity of any set of marginal states can be certified by solving a simple optimization program using an appropriate resource witness. Here we discuss some illustrative examples of resource transitivity for teleportation and dense coding.

Keywords: resource, marginal states, transitivity