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Heat Bath Algorithmic Cooling with Spins: Review and Prospects

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Electron Spin Resonance (ESR) Based Quantum Computing

Part of the book series: Biological Magnetic Resonance ((BIMR,volume 31))

Abstract

Application of multiple rounds of Quantum Error Correction (QEC) is an essential milestone towards the construction of scalable quantum information processing devices. The requirements for multiple rounds QEC are high control fidelity and the ability to extract entropy from ancilla qubits. Nuclear Magnetic Resonance (NMR) based quantum devices have demonstrated high control fidelity with up to 12 qubits. On the other hand, the major challenge in the NMR QEC experiment is to efficiently supply ancilla qubits in highly pure states at the beginning of each round of QEC. Purification of spin qubits can be accomplished through Heat Bath Algorithmic Cooling (HBAC). It is an efficient method for extracting entropy from qubits that interact with a heat bath, allowing cooling below the bath temperature. For practical HBAC, hyperfine coupled electron-nuclear spin systems are more promising than conventional NMR quantum processors, since electron spin polarization is about 103 times greater than that of a proton under the same experimental conditions. We provide an overview on both theoretical and experimental aspects of HBAC focusing on spin and magnetic resonance based systems, and discuss the prospects of exploiting electron-nuclear hyperfine coupled systems for the realization of HBAC and multiple-round QEC.

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Acknowledgements

This work is supported by CIFAR, Industry Canada, and NSERC. We thank Dr. Tal Mor and Dr. Yossi Weinstein for helpful discussions, and Dr. Rolf Horn for proofreading the manuscript. NRB acknowledges CONACYT-COZCyT and SEP for support.

Author information

Authors and Affiliations

  1. Natural Science Research Institute, KAIST, Daejon, South Korea, 34141

    Daniel K. Park

  2. Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada, N2L 3G1

    Daniel K. Park, Nayeli A. Rodriguez-Briones, Guanru Feng, Robabeh Rahimi, Jonathan Baugh & Raymond Laflamme

  3. Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, Canada, N2L 3G1

    Daniel K. Park, Nayeli A. Rodriguez-Briones, Guanru Feng, Robabeh Rahimi, Jonathan Baugh & Raymond Laflamme

  4. Science and Research Branch Azad University, Tehran, Iran

    Robabeh Rahimi

  5. Department of Chemistry, University of Waterloo, Waterloo, ON, Canada, N2L 3G1

    Jonathan Baugh

  6. Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada, N2J 2W9

    Raymond Laflamme

  7. Canadian Institute for Advanced Research, Toronto, ON, Canada, M5G 1Z8

    Raymond Laflamme

Authors
  1. Daniel K. Park
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  2. Nayeli A. Rodriguez-Briones
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  3. Guanru Feng
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  4. Robabeh Rahimi
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  5. Jonathan Baugh
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  6. Raymond Laflamme
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Corresponding author

Correspondence to Daniel K. Park .

Editor information

Editors and Affiliations

  1. Department of Chemistry, Osaka City University Grad School Science, Osaka, Japan

    Takeji Takui

  2. Department of Chemistry and Biochemistry, University of Denver, Denver, Colorado, USA

    Lawrence Berliner

  3. Centre for Advanced Imaging, The University of Queensland, St. Lucia, Queensland, Australia

    Graeme Hanson

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Park, D.K., Rodriguez-Briones, N.A., Feng, G., Rahimi, R., Baugh, J., Laflamme, R. (2016). Heat Bath Algorithmic Cooling with Spins: Review and Prospects. In: Takui, T., Berliner, L., Hanson, G. (eds) Electron Spin Resonance (ESR) Based Quantum Computing. Biological Magnetic Resonance, vol 31. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3658-8_8

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