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Disentangled Quantum Operation on Majorana Qubits in Qubit Chains

Journal of Experimental and Theoretical Physics volume 129, pages 733–737 (2019)Cite this article

Abstract

We consider quantum logical gates on Majorana qubits implemented in chain structures of ordinary qubits, spins, or pseudospins. We demonstrate that one can implement a two-qubit operation via local manipulations, using an extra coupler spin in a T-junction geometry, so that this coupler spin remains disentangled from the qubit. Furthermore, we identify a set of symmetry operations, which not only allow us to determine the resulting two-qubit gate, but also to demonstrate robustness of the resulting gate to inaccuracies in the manipulations, known for topological quantum computation.

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Authors and Affiliations

  1. Condensed-Matter Physics Laboratory, National Research University Higher School of Economics, 101000, Moscow, Russia

    Yu. Makhlin

  2. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Moscow oblast, Russia

    Yu. Makhlin

  3. Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, D-76131, Karlsruhe, Germany

    S. Backens & A. Shnirman

  4. Institute of Nanotechnology, Karlsruhe Institute of Technology, D-76344, Eggenstein-Leopoldshafen, Germany

    A. Shnirman

Authors
  1. Yu. Makhlin
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  2. S. Backens
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  3. A. Shnirman
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Corresponding author

Correspondence to Yu. Makhlin.

Additional information

Contribution for the JETP special issue in honor of I. M. Khalatnikov’s 100th anniversary

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Makhlin, Y., Backens, S. & Shnirman, A. Disentangled Quantum Operation on Majorana Qubits in Qubit Chains. J. Exp. Theor. Phys. 129, 733–737 (2019). https://doi.org/10.1134/S1063776119100212

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  • DOI: https://doi.org/10.1134/S1063776119100212