Self-testing of multipartite GHZ states of arbitrary local dimension
with arbitrary number of measurements per party
- URL: http://arxiv.org/abs/2112.10868v1
- Date: Mon, 20 Dec 2021 21:26:52 GMT
- Title: Self-testing of multipartite GHZ states of arbitrary local dimension
with arbitrary number of measurements per party
- Authors: Shubhayan Sarkar, Remigiusz Augusiak
- Abstract summary: Device independent certification schemes have gained a lot of interest lately.
strongest form of device independent certification, known as self-testing, often requires for a Bell inequality to be maximally violated.
We provide the first self-testing scheme for the multipartite Greenberger-Horne-Zeilinger (GHZ) states of arbitrary local dimension.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Device independent certification schemes have gained a lot of interest
lately, not only for their applications in quantum information tasks but also
their implications towards foundations of quantum theory. The strongest form of
device independent certification, known as self-testing, often requires for a
Bell inequality to be maximally violated by specific quantum states and
measurements. In this work, using the techniques developed recently in [S.
Sarkar et al., npj Quantum Inf. 7, 151 (2021)], we provide the first
self-testing scheme for the multipartite Greenberger-Horne-Zeilinger (GHZ)
states of arbitrary local dimension that does not rely on self-testing results
for qubit states and that exploits the minimal number of two measurements per
party. This makes our results interesting as far as practical implementation of
device-independent certification methods is concerned. Our self-testing
statement relies on maximal violation of a Bell inequality proposed recently in
[R. Augusiak et al., New J. Phys. 21, 113001 (2019)].
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