Southwest Quantum Information and Technology

Steerability of local quantum coherence

Presenting Author: Debasis Mondal, Harish-Chandra Research Institute
Contributing Author(s): Tanumoy Pramanik, Arun Kumar Pati

A bipartite state is said to be steerable iff it does not have single system description, i.e., the bipartite state cannot be explained by local hidden state model. Several steering inequalities have been derived using different local uncertainty relations to verify the ability to control the state of one subsystem by the other party. Here, we derive complementarity relations between coherences measured on mutually unbiased bases using various coherence measures such as the l1-norm, relative entropy and skew information. Using these relations, we formulate steering inequalities to check whether one subsystem has control over the coherence of the other entangled subsystem. We show that all pure entangled states are maximally steerable but for mixed entangled states, coherence steerability needs stronger non-local correlation than the existing state steering inequalities. We also show that our steering criteria are monogamous.

Read this article online: http://arxiv.org/abs/1508.03770

(Session 5 : Thursday from 5:00 - 7:00 pm)