scholarly journals Experimental demonstration of robust self-testing for bipartite entangled states

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Wen-Hao Zhang ◽  
Geng Chen ◽  
Peng Yin ◽  
Xing-Xiang Peng ◽  
Xiao-Min Hu ◽  
...  
Keyword(s):  
Entangled States ◽  
Experimental Demonstration ◽  
Self Testing

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 ◽  
...  
Keyword(s):  
Entangled States ◽  
Self Testing

scholarly journals Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Zhihao Bian ◽  
A. S. Majumdar ◽  
C. Jebarathinam ◽  
Kunkun Wang ◽  
Lei Xiao ◽  
...  
Keyword(s):  
Entangled State ◽  
Experimental Demonstration ◽  
Self Testing

scholarly journals Constant-sized correlations are sufficient to self-test maximally entangled states with unbounded dimension

Quantum ◽  
2022 ◽  
Vol 6 ◽  
pp. 614
Author(s):  
Honghao Fu
Keyword(s):  
Multiplicative Group ◽  
Prime Numbers ◽  
Quarterly Journal ◽  
Entangled States ◽  
Entangled State ◽  
Local Dimension ◽  
Maximally Entangled State ◽  
Self Testing ◽  
Maximally Entangled States ◽  
Self Test

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.

scholarly journals Device-independent certification of tensor products of quantum states using single-copy self-testing protocols

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 418
Author(s):  
Ivan Šupić ◽  
Daniel Cavalcanti ◽  
Joseph Bowles
Keyword(s):  
Tensor Product ◽  
Single Copy ◽  
Quantum States ◽  
High Dimensional ◽  
Entangled States ◽  
Testing Protocol ◽  
Self Testing ◽  
Rank One ◽  
Number Of Parties ◽  
Testing Protocols

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.

scholarly journals Self-testing multipartite entangled states through projections onto two systems

2018 ◽  
Vol 20 (8) ◽  
pp. 083041 ◽  
Author(s):  
I Šupić ◽  
A Coladangelo ◽  
R Augusiak ◽  
A Acín
Keyword(s):  
Entangled States ◽  
Self Testing ◽  
Two Systems

scholarly journals Path identity as a source of high-dimensional entanglement

2020 ◽  
Vol 117 (42) ◽  
pp. 26118-26122
Author(s):  
Jaroslav Kysela ◽  
Manuel Erhard ◽  
Armin Hochrainer ◽  
Mario Krenn ◽  
Anton Zeilinger
Keyword(s):  
Angular Momentum ◽  
Degrees Of Freedom ◽  
General Scheme ◽  
Higher Dimensions ◽  
High Dimensional ◽  
Entangled States ◽  
Entangled State ◽  
Experimental Demonstration ◽  
Entanglement Generation ◽  
High Degree

We present an experimental demonstration of a general entanglement-generation framework, where the form of the entangled state is independent of the physical process used to produce the particles. It is the indistinguishability of multiple generation processes and the geometry of the setup that give rise to the entanglement. Such a framework, termed entanglement by path identity, exhibits a high degree of customizability. We employ one class of such geometries to build a modular source of photon pairs that are high-dimensionally entangled in their orbital angular momentum. We demonstrate the creation of three-dimensionally entangled states and show how to incrementally increase the dimensionality of entanglement. The generated states retain their quality even in higher dimensions. In addition, the design of our source allows for its generalization to various degrees of freedom and even for the implementation in integrated compact devices. The concept of entanglement by path identity itself is a general scheme and allows for construction of sources producing also customized states of multiple photons. We therefore expect that future quantum technologies and fundamental tests of nature in higher dimensions will benefit from this approach.

scholarly journals Device-independent verification of Einstein-Podolsky-Rosen steering

2021 ◽  
Author(s):  
Yuan-Yuan Zhao ◽  
Chao Zhang ◽  
Shuming Cheng ◽  
Xinhui Li ◽  
Yu Guo ◽  
...  
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Quantum Information Processing ◽  
Entangled States ◽  
Independent Verification ◽  
Self Testing ◽  
Experimental Implementation ◽  
Einstein Podolsky Rosen ◽  
Complete Framework ◽  
Epr Steering

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.

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