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arXiv:1010.5862 · Physical Review Letters

Interface between Topological and Superconducting Qubits

Liang Jiang, C. L. Kane, John P. Preskill

Published Mar 28, 2011• 102 citations
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Abstract

We propose and analyze an interface between a topological qubit and a superconducting flux qubit. In our scheme, the interaction between Majorana fermions in a topological insulator is coherently controlled by a superconducting phase that depends on the quantum state of the flux qubit. A controlled-phase gate, achieved by pulsing this interaction on and off, can transfer quantum information between the topological qubit and the superconducting qubit.

DOI
10.1103/physrevlett.106.130504

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We propose and analyze an interface between a topological qubit and a superconducting flux qubit. In our scheme, the interaction between Majorana fermions in a topological insulator is coherently controlled by a superconducting phase that depends on the quantum state of the flux qubit. A controlled-phase gate, achieved by pulsing this interaction on and off, can transfer quantum information between the topological qubit and the superconducting qubit.
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A composite system of Majorana-hosted semiconductor nanowire and superconducting flux qubits, named top-flux-flux, is presented to process quantum information. We can electrically control the coupling between the Majorana-based topological qubit and the readout flux qubit, supplying a convenient method to implement a $\ensuremath{\pi}/8$ phase gate of the topological qubit. In addition, we design a scheme to transfer quantum information back and forth between the topological qubit and the flux qubit by employing the Landau-Zener transition. With the demonstration of the entanglement of two topological qubits, it is very promising to use this hybrid system for quantum-information processing.
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We propose a method to coherently transfer quantum information, and to create entanglement, between topological qubits and conventional spin qubits. Our suggestion uses gated control to transfer an electron (spin qubit) between a quantum dot and edge Majorana modes in adjacent topological superconductors. Because of the spin polarization of the Majorana modes, the electron transfer translates spin superposition states into superposition states of the Majorana system, and vice versa. Furthermore, we show how a topological superconductor can be used to facilitate long-distance quantum information transfer and entanglement between spatially separated spin qubits.
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