Two-Qubit Operation on Majorana Qubits in Ordinary-Qubit Chains
- Authors: Makhlin Y.1,2, Backens S.3, Shnirman A.3,4
-
Affiliations:
- Condensed Matter Physics Laboratory
- Landau Institute for Theoretical Physics
- Institut für Theorie der Kondensierten Materie
- Institute of Nanotechnology
- Issue: Vol 108, No 11 (2018)
- Pages: 763-767
- Section: Quantum Informatics
- URL: https://journals.rcsi.science/0021-3640/article/view/161322
- DOI: https://doi.org/10.1134/S0021364018230029
- ID: 161322
Cite item
Abstract
Majorana zero modes can be simulated in structures based on spin or quasi-spin degrees of freedom, e.g., Josephson-qubit chains. Braiding of Majorana degrees of freedom is realized using T-junctions supplied with an auxiliary spin (ancilla). Motivated by prospective experiments, we analyze the braiding in the spin representation, which provides the basis for the analysis of imperfections characteristic to the spin and qubit designs. The result of the braiding operation is straightforwardly found for the initial basis states of the two qubits and the ancilla, up to phase factors. Here, we fix these phase factors and thus describe the complete two-qubit operation. This result is relevant for physical simulation of the Majorana qubits in Josephson-qubit chains and other spin or qubit structures.
About the authors
Yu. Makhlin
Condensed Matter Physics Laboratory; Landau Institute for Theoretical Physics
Author for correspondence.
Email: makhlin@itp.ac.ru
Russian Federation, Moscow, 101000; Chernogolovka, 142432
S. Backens
Institut für Theorie der Kondensierten Materie
Email: makhlin@itp.ac.ru
Germany, Karlsruhe, D-76131
A. Shnirman
Institut für Theorie der Kondensierten Materie; Institute of Nanotechnology
Email: makhlin@itp.ac.ru
Germany, Karlsruhe, D-76131; Eggenstein-Leopoldshafen, D-76344
Supplementary files
