Demonstration of the No-Hiding Theorem on the 5 Qubit IBM Quantum Computer in a Category Theoretic Framework

Abstract

Quantum no-Hiding theorem, first proposed by Braunstein and Pati [Phys. Rev. Lett. 98, 080502 (2007)], was verified experimentally by Samal et al. [Phys. Rev. Lett. 186, 080401 (2011)] using NMR quantum processor. Till then, this fundamental test has not been explored in any of the experimental architecture. Here, we demonstrate the above no-hiding theorem using the IBM 5Q quantum processor. Categorical algebra developed by Coecke and Duncan [New J. Phys. 13, 043016 (2011)] has been used for better visualization of the no-hiding theorem by analyzing the quantum circuit using the ZX calculus. The experimental results confirm the recovery of missing information by the application of local unitary operations on the ancillary qubits.

arXiv comment11 pages, 5 figures

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• Application of quantum scrambling in Rydberg atom on IBM quantum computer
• Experimental Realization of Quantum Violation of Entropic Noncontextual Inequality in Four Dimension Using IBM Quantum Computer
• Generation of perfect W-state and demonstration of its application to quantum information splitting
• A simple formulation of no-cloning and no-hiding that admits efficient and robust verification
• Experimental Masking of Real Quantum States
• Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory