Experimental Realization of Quantum Violation of Entropic Noncontextual Inequality in Four Dimension Using IBM Quantum Computer.

In quantum information theory, entropic inequalities act as the necessary and sufficient conditions to noncontextuality. Here, we first experimentally demonstrate the violation of the entropic noncontextual inequality in a four-level quantum system, by using the five-qubit IBM quantum computer. The experimental result disproves the existence of a local realist model.

[1]  James R. Wootton.  Demonstrating non-Abelian braiding of surface code defects in a five qubit experiment , 2016, 1609.07774.

[2]  Ayan Majumder,et al.  Experimental Realization of Secure Multiparty Quantum Summation Using Five-Qubit IBM Quantum Computer on Cloud , 2017 .

[3]  James R. Wootton,et al.  Repetition code of 15 qubits , 2017, 1709.00990.

[4]  O. Gühne,et al.  State-independent experimental test of quantum contextuality , 2009, Nature.

[5]  S. Wehner,et al.  Entropic uncertainty and measurement reversibility , 2015, 1511.00267.

[6]  Bikash K. Behera,et al.  Generalization and demonstration of an entanglement-based Deutsch–Jozsa-like algorithm using a 5-qubit quantum computer , 2017, Quantum Information Processing.

[7]  Ari Mizel,et al.  Violation of noninvasive macrorealism by a superconducting qubit: Implementation of a Leggett-Garg test that addresses the clumsiness loophole , 2017 .

[8]  J. Latorre,et al.  Experimental test of Mermin inequalities on a five-qubit quantum computer , 2016, 1605.04220.

[9]  T. Fritz,et al.  Entropic approach to local realism and noncontextuality , 2012, 1201.3340.

[10]  Kenny Choo,et al.  Measurement of the Entanglement Spectrum of a Symmetry-Protected Topological State Using the IBM Quantum Computer. , 2018, Physical review letters.

[11]  A. Cabello,et al.  Experimental test of quantum contextuality in neutron interferometry. , 2009, Physical review letters.

[12]  S. Braunstein,et al.  Information-theoretic Bell inequalities. , 1988, Physical review letters.

[13]  E. Specker,et al.  The Problem of Hidden Variables in Quantum Mechanics , 1967 .

[14]  Bikash K. Behera,et al.  Experimental demonstration of non-local controlled-unitary quantum gates using a five-qubit quantum computer , 2017, Quantum Inf. Process..

[15]  A. Zeilinger,et al.  Experimental non-classicality of an indivisible quantum system , 2011, Nature.

[16]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[17]  M. Bourennane,et al.  State-independent quantum contextuality with single photons. , 2009, Physical review letters.

[18]  Bikash K. Behera,et al.  Automated error correction in IBM quantum computer and explicit generalization , 2017, Quantum Inf. Process..

[19]  J. Gambetta,et al.  Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets , 2017, Nature.

[20]  A. K. Pan,et al.  Quantum violation of entropic noncontextual inequality in four dimensions , 2012, 1211.2518.

[21]  Bikash K. Behera,et al.  Quantum Locker Using a Novel Verification Algorithm and Its Experimental Realization in IBM Quantum Computer , 2017, 1710.05196.

[22]  Bikash K. Behera,et al.  Experimental realization of quantum cheque using a five-qubit quantum computer , 2017, Quantum Information Processing.

[23]  Guang-Can Guo,et al.  Experimental demonstration of quantum contextuality with nonentangled photons , 2009 .

[24]  M. A. Can,et al.  Simple test for hidden variables in spin-1 systems. , 2007, Physical review letters.

[25]  L. Lamata,et al.  Approximate Quantum Adders with Genetic Algorithms: An IBM Quantum Experience , 2016, 1611.07851.

[26]  A. Wallraff,et al.  Observation of topological Uhlmann phases with superconducting qubits , 2016, 1607.08778.

[27]  D. Kaszlikowski,et al.  Entropic test of quantum contextuality. , 2012, Physical review letters.

[28]  Anirban Pathak,et al.  Experimental realization of nondestructive discrimination of Bell states using a five-qubit quantum computer , 2017 .

[29]  Bikash K. Behera,et al.  Demonstration of the no-hiding theorem on the 5-Qubit IBM quantum computer in a category-theoretic framework , 2019, Quantum Inf. Process..

[30]  Abhishek Shukla,et al.  Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state , 2017, Quantum Information Processing.

[31]  Maria Schuld,et al.  Implementing a distance-based classifier with a quantum interference circuit , 2017, 1703.10793.

[32]  Z. Gedik,et al.  Optimization and experimental realization of the quantum permutation algorithm , 2017, 1708.07900.

[33]  Bikash K. Behera,et al.  Experimental Demonstration of the No Hiding Theorem Using a 5 Qubit Quantum Computer , 2017 .

[34]  R. Mcweeny.  On the Einstein-Podolsky-Rosen Paradox , 2000 .