Robust Semi-Device Independent Certification of All Pure Bipartite
Maximally Entangled States via Quantum Steering
- URL: http://arxiv.org/abs/2007.04020v4
- Date: Thu, 19 Aug 2021 06:20:52 GMT
- Title: Robust Semi-Device Independent Certification of All Pure Bipartite
Maximally Entangled States via Quantum Steering
- Authors: Harshank Shrotriya, Kishor Bharti, and Leong-Chuan Kwek
- Abstract summary: We show that any bipartite pure entangled state can be certified in the semi-device independent scenario through Quantum Steering.
We use the notion of Assemblage based robust state certification to provide bounds for the certification result in the case of pure maximally entangled states of any local dimension.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The idea of self-testing is to render guarantees concerning the inner
workings of a device based on the measurement statistics. It is one of the most
formidable quantum certification and benchmarking schemes. Recently it was
shown by Coladangelo et. al. (Nat Commun 8, 15485 (2017)) that all pure
bipartite entangled states can be self tested in the device independent
scenario by employing subspace methods introduced by Yang et. al. (Phys. Rev. A
87, 050102(R)). Here, we have adapted their method to show that any bipartite
pure entangled state can be certified in the semi-device independent scenario
through Quantum Steering. Analogous to the tilted CHSH inequality, we use a
steering inequality called Tilted Steering Inequality for certifying any pure
two-qubit entangled state. Further, we use this inequality to certify any
bipartite pure entangled state by certifying two-dimensional sub-spaces of the
qudit state by observing the structure of the set of assemblages obtained on
the trusted side after measurements are made on the un-trusted side. As a
feature of quantum state certification via steering, we use the notion of
Assemblage based robust state certification to provide robustness bounds for
the certification result in the case of pure maximally entangled states of any
local dimension.
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