Automated Error Correction in IBM Quantum Computer and Explicit Generalization

Abstract

Experimental realization of automated error correction is demonstrated through IBM Quantum Experience for Bell and GHZ states using a measurement based approach upon ancilla qubits. The measurement automatically activates error correcting unitary operations to restore the system to its original entangled state. We illustrate the algorithm for the maximally entangled qudit case by applying appropriate Hadamard and Controlled-NOT gates.

21 pages, 27 figures

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• Experimental realization of quantum teleportation using coined quantum walks
• Nondestructive discrimination of a new family of highly entangled states in IBM quantum computer
• Implementation of quantum secret sharing and quantum binary voting protocol in the IBM quantum computer
• Experimental demonstration of the violations of Mermin's and Svetlichny's inequalities for W- and GHZ-class of states
• Demonstration of the No-Hiding Theorem on the 5 Qubit IBM Quantum Computer in a Category Theoretic Framework
• Quantum communication protocols as a benchmark for quantum computers
• A simulational model for witnessing quantum effects of gravity using IBM quantum computer
• Solving diner's dilemma game, circuit implementation, and verification on IBMQ simulator