Volume 142, Number 6, June 2023
|Number of page(s)||7|
|Published online||07 June 2023|
Monogamy relations of entropic non-contextual inequalities and their experimental demonstration
1 Department of Physical Sciences, Indian Institute of Science Education & Research Mohali, Sector 81 SAS Nagar Manauli PO 140306, Punjab, India
2 Departamento de Física Aplicada II, Universidad de Sevilla - E-41012, Sevilla, Spain
3 Vice Chancellor, Punjabi University Patiala - 147002, Punjab, India
Received: 13 January 2023
Accepted: 26 May 2023
We analyze monogamous relationships of abritrary entropic non-contextuality (ENC) inequalities via a graph theoretic approach. While ENC inequalities are important in quantum information theory, a theoretical and experimental understanding of their monogamous nature is still elusive. We analyze conditions for ENC inequalities to exhibit a monogamous relationship and derive the same explicitly for an entropic version of the Bell-CHSH scenario. Next, we consider two different sets of three qubit states and experimentally show that they exhibit monogamy of entropic Bell-CHSH inequality. The monogamous relationship of these inequalities is theoretically exhibited via an insightful proof and is experimentally demonstrated on an NMR quantum information processor. We also develop a novel and easy-to-implement experimental method to evaluate entropies on an NMR quantum information processor using only the information about expectation values of the observables.
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