Automated Error Correction in IBM Quantum Computer and Explicit Generalization

TL;DR

This paper demonstrates an automated error correction method on IBM Quantum computers that uses measurement-based activation of correction operations to restore entangled states like Bell and GHZ states, including generalizations to qudits.

Contribution

It introduces a measurement-based automated error correction algorithm that activates correction operations automatically, extending to qudit systems.

Findings

Successful correction of Bell and GHZ states on IBM Quantum Experience

Automatic activation of error correction via measurement-based approach

Extension of the algorithm to maximally entangled qudit states

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.