• Corpus ID: 119407753

Self-testing Dicke states

  title={Self-testing Dicke states},
  author={Matteo Fadel},
  journal={arXiv: Quantum Physics},
  • M. Fadel
  • Published 5 July 2017
  • Mathematics
  • arXiv: Quantum Physics
We show that, upon the observation of a specific measurement statistic, Dicke states can be self-tested. Our work is based on a generalization of the protocol considered by Wu et al. [PRA 90 042339 (2014)], and constitutes a device-independent method for the characterization of a physical device. For realistic situations where experimental imperfections lead to a deviation from the ideal statistics, we give an estimate for the fidelity of the physical state compared to the ideal Dicke state. 

Figures from this paper

Self-testing of quantum systems: a review
This work gives a thorough and self-contained introduction and review of self-testing and its application to other areas of quantum information.
A simple approach to self-testing multipartite entangled states
This work investigates a simple, and potentially unifying, approach: combining projections onto two-qubit spaces (projecting parties or degrees of freedom) and then using maximal violation of the tilted CHSH inequalities to obtain self-testing of Dicke states and partially entangled GHZ states with two measurements per party.
Parallel Self-Testing of the GHZ State with a Proof by Diagrams
This work gives the first error-tolerant parallel self-test in a three-party (rather than two-party) scenario, by showing that an arbitrary number of copies of the GHZ state can be self-tested.
An elegant proof of self-testing for multipartite Bell inequalities
The predictions of quantum theory are incompatible with local-causal explanations. This phenomenon is called Bell non-locality and is witnessed by violation of Bell-inequalities. The maximal
Efficient Verification of Dicke States
This work proposes efficient and practical protocols for verifying arbitrary $n$-qubit Dicke states in both adaptive and nonadaptive ways, and is comparable to the best global strategy.
The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing
In this paper, we present a method to solve the quantum marginal problem for symmetric d-level systems. The method is built upon an efficient semi-definite program that uses the compatibility