scholarly journals Experimentally Robust Self-testing for Bipartite and Tripartite Entangled States

2018 ◽  
Vol 121 (24) ◽  
Author(s):  
Wen-Hao Zhang ◽  
Geng Chen ◽  
Xing-Xiang Peng ◽  
Xiang-Jun Ye ◽  
Peng Yin ◽  
...  
2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Wen-Hao Zhang ◽  
Geng Chen ◽  
Peng Yin ◽  
Xing-Xiang Peng ◽  
Xiao-Min Hu ◽  
...  

Quantum ◽  
2022 ◽  
Vol 6 ◽  
pp. 614
Author(s):  
Honghao Fu

Let p be an odd prime and let r be the smallest generator of the multiplicative group Zp∗. We show that there exists a correlation of size Θ(r2) that self-tests a maximally entangled state of local dimension p−1. The construction of the correlation uses the embedding procedure proposed by Slofstra (Forum of Mathematics, Pi. (2019)). Since there are infinitely many prime numbers whose smallest multiplicative generator is in the set {2,3,5} (D.R. Heath-Brown The Quarterly Journal of Mathematics (1986) and M. Murty The Mathematical Intelligencer (1988)), our result implies that constant-sized correlations are sufficient for self-testing of maximally entangled states with unbounded local dimension.


Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 418
Author(s):  
Ivan Šupić ◽  
Daniel Cavalcanti ◽  
Joseph Bowles

Self-testing protocols are methods to determine the presence of shared entangled states in a device independent scenario, where no assumptions on the measurements involved in the protocol are made. A particular type of self-testing protocol, called parallel self-testing, can certify the presence of copies of a state, however such protocols typically suffer from the problem of requiring a number of measurements that increases with respect to the number of copies one aims to certify. Here we propose a procedure to transform single-copy self-testing protocols into a procedure that certifies the tensor product of an arbitrary number of (not necessarily equal) quantum states, without increasing the number of parties or measurement choices. Moreover, we prove that self-testing protocols that certify a state and rank-one measurements can always be parallelized to certify many copies of the state. Our results suggest a method to achieve device-independent unbounded randomness expansion with high-dimensional quantum states.


2018 ◽  
Vol 20 (8) ◽  
pp. 083041 ◽  
Author(s):  
I Šupić ◽  
A Coladangelo ◽  
R Augusiak ◽  
A Acín

2021 ◽  
Author(s):  
Yuan-Yuan Zhao ◽  
Chao Zhang ◽  
Shuming Cheng ◽  
Xinhui Li ◽  
Yu Guo ◽  
...  

Abstract If the presence of entanglement could be certified in a device-independent (DI) way, it is likely to provide various quantum information processing tasks with unconditional security. Recently, it was shown that a DI protocol, combining measurement-device-independent techniques with self-testing, is able to verify all entangled states, however, it imposes demanding requirements on its experimental implementation. In this work, we propose a much less-demanding protocol based on Einstein-Podolsky-Rosen (EPR) steering to certify entanglement. We establish a complete framework for DI verification of EPR steering in which all steerable states could be verified. We then analyze its robustness towards noise and imperfections of self-testing by considering the measurement scenario with three settings at each side. Finally, a four-photon experiment is implemented to demonstrate that even Bell local states can be device-independently verified. Our work may pave the way for realistic applications of secure quantum information tasks.


2012 ◽  
Vol 42 (9) ◽  
pp. 17
Author(s):  
BRUCE JANCIN
Keyword(s):  

2007 ◽  
Vol 55 (S 1) ◽  
Author(s):  
H Mair ◽  
B Reichart ◽  
I Kaczmarek ◽  
G Juchem ◽  
P Überfuhr ◽  
...  

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