https://github.com/aron9605/quantum-repetition-code

Basic results of our quantum repetition code study.

https://github.com/aron9605/quantum-repetition-code

Science Score: 13.0%

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Keywords

quantum-algorithms quantum-computing quantum-error-correction quantum-memory
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Basic results of our quantum repetition code study.

Basic Info
  • Host: GitHub
  • Owner: Aron9605
  • Language: Mathematica
  • Default Branch: main
  • Homepage:
  • Size: 1.08 MB
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quantum-algorithms quantum-computing quantum-error-correction quantum-memory
Created almost 3 years ago · Last pushed about 2 years ago
Metadata Files
Readme

README.md

Quantum-repetition-code

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

Abstract

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.

Owner

  • Name: Áron Rozgonyi
  • Login: Aron9605
  • Kind: user
  • Location: Budapest, Hungary

PhD student at ELTE University and Research Assistant at Wigner RC. Interested in quantum computing, error correction and machine learning.

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