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Code repository for arXiv:1903.10526 [quant-ph]
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README.md
randrobust_tripartiteW_TTT.m
randrobust_tripartiteW_TTU.m
randrobust_tripartiteW_TUU.m
randrobust_tripartiteW_UTT.m
switch_randrobustness.m

README.md

Code to accompany Semi-device-independent certification of indefinite causal order

Jessica Bavaresco, Mateus Araújo, Časlav Brukner, and Marco Túlio Quintino

This is a repository for the code used to calculate the numerical results of the article "Semi-device-independent certification of indefinite causal order. Jessica Bavaresco, Mateus Araújo, Časlav Brukner, Marco Túlio Quintino. arXiv:1903.10526 [quant-ph]", summarized in Table II.

All code is written in MATLAB and requires:

  • Yalmip - a free MATLAB toolbox for rapid prototyping of optimization problems
  • MOSEK - a software package for solving mathematical optimization problems (under the free personal academic license)
  • QETLAB - a free MATLAB toolbox for quantum entanglement theory

This repository consists in the following four SDPs plus a function that defines the quantum switch process and sets of instruments used in our work, and calculates the non-zero values of Table II.

  • randrobust_tripartiteW_TTT: Calculates the \eta^* of a tripartite process matrix in the TTT scenario.

  • randrobust_tripartiteW_TTU: Calculates a lower bound for \eta^* of a tripartite process matrix in the TTU scenario, using a given set of POVMs for Charlie.

  • randrobust_tripartiteW_TUU: Calculates a lower bound for \eta^* of a tripartite process matrix in the TUU scenario, using a given set of instruments for Bob and a set of POVMs for Charlie.

  • randrobust_tripartiteW_UTT: Calculates a lower bound for \eta^* of a tripartite process matrix in the UTT scenario, using a given set of instruments for Alice.

  • switch_randrobustness: Defines the quantum switch process and the sets of instruments used in our work, provides them as input to the four previous SDPs and outputs the values of/bounds for \eta^*.

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