Quantum Channel Marginal Problem

  • Event Date: 2021-03-15
  • Quantum information and communication
  • Speaker: Mr. Chung-Yun Hsieh (The Institute of Photonic Sciences(ICFO), Spain)  /  Host: Prof. Yeong-Cherng Liang(NCKU)

Time:2021/03/15 (Mon.)12:10
Place:R36169, 1F, Dept. of Physics, Building of Science College, NCKU
Abstract:
Given a set of local dynamics, are they compatible with a global dynamics? We systematically formulate these questions as quantum channel marginal problems, which can be understood as a dynamical generalization of the marginal problems for quantum states. After defining the notion of compatibility between global and local dynamics, we provide a necessary and sufficient condition for it, showing that it takes the form of a semidefinite program. Using this formulation, we construct channel incompatibility witnesses and show that a set of local channels are incompatible if and only if they demonstrate an advantage in a state-discrimination task.
Link: https://arxiv.org/abs/2102.10926

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