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Automated error correction in IBM quantum computer and explicit generalization

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Abstract

Construction of a fault-tolerant quantum computer remains a challenging problem due to unavoidable noise and fragile quantum states. However, this goal can be achieved by introducing quantum error-correcting codes. Here, we experimentally realize an automated error correction code and demonstrate the nondestructive discrimination of GHZ states in IBM 5-qubit quantum computer. After performing quantum state tomography, we obtain the experimental results with a high fidelity. Finally, we generalize the investigated code for maximally entangled n-qudit case, which could both detect and automatically correct any arbitrary phase-change error, or any phase-flip error, or any bit-flip error, or combined error of all types of error.

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Acknowledgements

DG and BKB are financially supported by DST Inspire Fellowship. PA would like to thank the National Initiative for Undergraduate Science (NIUS) Physics. The authors are extremely grateful to IBM team and IBM Quantum Experience project. This work does not reflect the views or opinions of IBM or any of its employees.

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Authors and Affiliations

  1. Department of Physical Sciences, Indian Institute of Science Education and Research Mohali, Sector 81, Knowledge City, Manauli PO, S. A. S. Nagar, Punjab, 140306, India

    Debjit Ghosh

  2. Department of Physics, Indian Institute of Technology Bombay, Mumbai, 400076, India

    Pratik Agarwal

  3. College of Engineering, University of Notre Dame, Notre Dame, IN, 46556, USA

    Pratyush Pandey

  4. Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur, West Bengal, 741246, India

    Bikash K. Behera & Prasanta K. Panigrahi

Authors
  1. Debjit Ghosh
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  2. Pratik Agarwal
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  3. Pratyush Pandey
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  4. Bikash K. Behera
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  5. Prasanta K. Panigrahi
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Corresponding author

Correspondence to Prasanta K. Panigrahi.

Appendices

Appendix 1: Results of all above circuits in IBM quantum computer

figure a

Appendix 2: Calibration data of the IBM quantum computer

figure b

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Ghosh, D., Agarwal, P., Pandey, P. et al. Automated error correction in IBM quantum computer and explicit generalization. Quantum Inf Process 17, 153 (2018). https://doi.org/10.1007/s11128-018-1920-z

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