This project contains the reproduction of essential results of the 'Break-even point of the quantum repetition code' study. [ref. arXiv:2303.17810, 2023 New J. Phys. 25 103004]
The study has been published in IOPScience New Journal of Physics; the corresponding authors are Aron Rozgonyi[1,2] and Gabor Szechenyi[1,2].
Affiliation:
[1] Institute of Physics, Eotvos Lorand University, Budapest, Hungary
[2] Department for Quantum Optics and Quantum Information, Wigner Research Centre for Physics, Budapest, Hungary
Achieving fault-tolerant quantum computing is a fundamental challenge in the field of quantum information science. In this study, we explore the use of quantum code-based memories to enhance the lifetime of qubits and exceed the break-even point, which is critical for the implementation of fault-tolerant quantum computing. Specifically, we investigate the quantum phase-flip repetition code as a quantum memory and theoretically demonstrate that it can preserve arbitrary quantum information longer than the lifetime of a single idle qubit in a dephasing-time-limited system. Our circuit-based analytical calculations show the efficiency of the phase-flip code as a quantum memory in the presence of relaxation, dephasing, and faulty quantum gates. Moreover, we identify the optimal repetition number of quantum error correction cycles required to reach the break-even point by considering the gate error probabilities of current platforms for quantum computing. Our findings are significant as they pave the way towards quantum memory and fault-tolerant quantum computing, which are crucial for the development of advanced quantum technologies.