Device-independent state estimation based on Bell’s inequalities
@article{Bardyn2009DeviceindependentSE, title={Device-independent state estimation based on Bell’s inequalities}, author={Charles-Edouard Bardyn and Timothy C. H. Liew and Serge Massar and Matthew Mckague and Valerio Scarani}, journal={Physical Review A}, year={2009}, volume={80}, pages={062327} }
The only information available about an alleged source of entangled quantum states is the amount S by which the Clauser-Horne-Shimony-Holt inequality is violated: nothing is known about the nature of the system or the measurements that are performed. We discuss how the quality of the source can be assessed in this black-box scenario, as compared to an ideal source that would produce maximally entangled states (more precisely, any state for which S=2 root 2). To this end, we present several…
96 Citations
Experimental demonstration of robust self-testing for bipartite entangled states
- Physicsnpj Quantum Information
- 2019
Chuan-Feng Li and coworkers have devised an improved method for quantum “self-testing”, meaning characterizing properties of quantum states without assuming fully-correct functioning of the measurement apparatus, but based only on the measurements’ violation of mathematical inequalities that can happen only for specific quantum states.
Experimental self-testing of entangled states
- Physics
- 2018
Quantum entanglement is the key resource for quantum information processing. Device-independent certification of entangled states is a long standing open question, which arouses the concept of…
Self-testing two-qubit maximally entangled states from generalized CHSH tests.
- Computer Science
- 2020
This paper shows how the self-testing of two-qubit maximally entangled states is improved by a refined analysis of measurement statistics, and provides novel insight into the set of quantum correlations suited forSelf-testing, to facilitate the experimental implementations of device-independent certifications.
Self-testing quantum states and measurements in the prepare-and-measure scenario
- Computer SciencePhysical Review A
- 2018
Self-testing methods for quantum prepare-and-measure experiments, thus not necessarily relying on entanglement and/or violation of a Bell inequality are developed, assuming an upper bound on the Hilbert space dimension.
Experimentally Robust Self-testing for Bipartite and Tripartite Entangled States.
- PhysicsPhysical review letters
- 2018
A proof-of-concept demonstration of robust self-testing is achieved, which improves on the previous results significantly and describes the robustness of the used self- testing criterion.
Self-testing two-qubit maximally entangled states from generalized Clauser-Horne-Shimony-Holt tests
- PhysicsPhysical Review Research
- 2022
Device-independent certification, also known as self-testing, aims at guaranteeing the proper functioning of untrusted and uncharacterized devices. For example, the quality of an unknown source…
Device-Independent Certification of a Nonprojective Qubit Measurement.
- PhysicsPhysical review letters
- 2016
In an experiment on pairs of polarization-entangled photonic qubits, a device-independent verification that the system is best described by two qubits constitutes the first device- independent certification of a nonprojective quantum measurement.
Robust self-testing of two-qubit states
- Computer SciencePhysical Review A
- 2019
A proof that in the usual formulation, the CHSH inequality only becomes a self-test when the violation exceeds a certain threshold is shown, which shows that self-testing scenarios fall into two distinct classes depending on whether they exhibit such a threshold or not.
Maximal nonlocality from maximal entanglement and mutually unbiased bases, and self-testing of two-qutrit quantum systems
- Computer ScienceQuantum
- 2019
This work proposes a novel family of Bell inequalities which exhibit precisely these properties, and whose maximal quantum violation can be computed analytically, and shows that in the three-outcome case their Bell inequality can be used to self-test the maximally entangled state of two-qutrits and three mutually unbiased bases at each site.
What is the minimum CHSH score certifying that a state resembles the singlet?
- Computer ScienceQuantum
- 2020
This work provides a new analytical approach to explore the minimum CHSH violation leading to a non-trivial fidelity in a device-independent framework, where the fidelity bound holds without assumption about the internal working of devices used in the CHSH test.
References
SHOWING 1-4 OF 4 REFERENCES
Self-testing of Quantum Circuits
- Computer Science, PhysicsICALP
- 2006
We prove that a quantum circuit together with measurement apparatuses and EPR sources can be self-tested, i.e. fully verified without any reference to some trusted set of quantum devices.
To…
Quantum computation and quantum information
- Physics, Computer Science
- 2000
This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Phys
- Rev. Lett. 48, 291
- 1982
Cirel'son
- Lett. Math. Phys
- 1980