# Weak form of self-testing

@article{Kaniewski2019WeakFO, title={Weak form of self-testing}, author={J. Kaniewski}, journal={arXiv: Quantum Physics}, year={2019} }

The concept of self-testing (or rigidity) refers to the fact that for certain Bell inequalities the maximal violation can be achieved in an essentially unique manner. In this work we present a family of Bell inequalities which are maximally violated by multiple inequivalent quantum realisations. We completely characterise the quantum realisations achieving the maximal violation and we show that each of them requires a maximally entangled state of two qubits. This implies the existence of a new…

## 14 Citations

Quantum correlations on the no-signaling boundary: self-testing and more

- Physics
- 2022

Kai-Siang Chen,1 Gelo Noel M. Tabia,1, 2, 3 Chellasamy Jebarathinam,4 Shiladitya Mal,1, 2 Jun-Yi Wu,5 and Yeong-Cherng Liang1, 2, ∗ Department of Physics and Center for Quantum Frontiers of Research…

Arkhipov's theorem, graph minors, and linear system nonlocal games

- Mathematics
- 2022

. The perfect quantum strategies of a linear system game correspond to certain representations of its solution group. We study the solution groups of graph incidence games, which are linear system…

Self-testing quantum states via nonmaximal violation in Hardy's test of nonlocality

- PhysicsPhysical Review A
- 2022

Self-testing protocols enable certiﬁcation of quantum devices without demanding full knowledge about their inner workings. A typical approach in designing such protocols is based on observing…

Effects of measurement dependence on 1-parameter family of Bell tests

- MathematicsQuantum Inf. Process.
- 2022

This paper establishes the relationship among measurement dependence, guessing probability, and the maximum value of 1-PFB correlation function that Eve can fake, and finds the range of the parameter in which it is more difficult for Eve to fake the maximum quantum violation in 1- PFB inequality than in Chain inequality.

Self-testing Quantum States via Non-maximal Bell Violation

- Physics
- 2021

Ashutosh Rai,1, 2 Matej Pivoluska,2, 3 Souradeep Sasmal,4 Manik Banik,5 Sibasish Ghosh,6 and Martin Plesch2, 3 1School of Electrical Engineering, Korea Advanced Institute of Science and Technology,…

Near-Maximal Two-Photon Entanglement for Optical Quantum Communication at
2.1μm

- PhysicsPhysical Review Applied
- 2021

Owing to a reduced solar background and low propagation losses in the atmosphere, the 2- to 2.5- µ m waveband is a promising candidate for daylight quantum communication. This spectral region also…

Quantum Correlations in the Minimal Scenario

- Mathematics
- 2021

In the minimal scenario of quantum correlations, two parties can choose from two observables with two possible outcomes each. Probabilities are speciﬁed by four marginals and four correlations. The…

Near-maximal two-photon entanglement for quantum communications at 2.1 μm

- Physics
- 2021

Adetunmise C. Dada,1, ∗ Jędrzej Kaniewski,2 Corin Gawith,3 Martin Lavery,1 Robert H. Hadfield,1 Daniele Faccio,4 and Matteo Clerici1 James Watt School of Engineering, University of Glasgow, Glasgow…

Robust self-testing of steerable quantum assemblages and its applications on device-independent quantum certification

- PhysicsQuantum
- 2021

This work considers assemblages violating several paradigmatic Bell inequalities and obtains the robust self-testing statement for each scenario, and is device-independent (DI), i.e., no assumption is made on the shared state and the measurement devices involved.

Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments

- PhysicsScience Advances
- 2021

The first example of an extremal point of the quantum set of correlations that admits physically inequivalent quantum realizations is presented, and the results elaborately demonstrate the foundational and practical relevance of the two most important discrete Hilbert space structures to the field of quantum nonlocality.

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