Optimising Quantum Error Correction with Mach-Zehnder Interferometer

Published in (In Preparation), 2023

In preparation: Shivam Sawarn, Akhilesh Dubey, Priyanka, Shaik Ahmed, D Sajeev, Ram Soorat, Optimising Quantum Error Correction with Mach-Zehnder Interferometer,2023.

Abstract

The Mach-Zehnder Interferometer (MZI) is a robust quantum optics research tool. We have used it to investigate the behavior of quantum states, namely coherent states and superposition levels. Coherent states with classical-like characteristics are annihilation operator eigenstates with a well-defined phase. Superposition states, on the other hand, are quantum states that exist as a linear combination of several states, each with a matching probability amplitude. One significant use in the area of quantum error correction is the implementation of the Shor code for quantum error correction. It is possible to examine the impact of faults on the logical qubits and perform error correction operations by encoding quantum information into logical qubits using the Shor code.

Trulli
Possible combination of errors(I/X/Z) applied and their corresponding counts(error1 & error2 correspond to error applied to first and second qubit correspondingly indicated on top of each figure) after implementation of shor code