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Majorana zero modes in multiplicative topological phases

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Pal,  Adipta
Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Winter,  Joe H.
Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Cook,  Ashley M.
Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Citation

Pal, A., Winter, J. H., & Cook, A. M. (2024). Majorana zero modes in multiplicative topological phases. Physical Review B, 109(1): 014516, pp. 1-23. doi:10.1103/PhysRevB.109.014516.


Cite as: https://hdl.handle.net/21.11116/0000-000E-9D38-3
Abstract
Topological qubits composed of unpaired Majorana zero modes are under intense experimental and theoretical scrutiny in efforts to realize practical quantum computation schemes. In this work, we show that the minimum four unpaired Majorana zero modes required for a topological qubit according to braiding schemes and control of entanglement for gate operations are inherent to multiplicative topological phases, which realize symmetry-protected tensor products