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Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes

Torsten KarzigStation Q, Microsoft Research, Santa Barbara, California 93106-6105, USAChristina KnappDepartment of Physics, University of California, Santa Barbara, California 93106, USARoman M. LutchynStation Q, Microsoft Research, Santa Barbara, California 93106-6105, USAParsa BondersonStation Q, Microsoft Research, Santa Barbara, California 93106-6105, USAMatthew B. HastingsStation Q, Microsoft Research, Santa Barbara, California 93106-6105, USAChetan NayakDepartment of Physics, University of California, Santa Barbara, California 93106, USAJason AliceaDepartment of Physics, California Institute of Technology, Pasadena, California 91125, USAKarsten FlensbergCenter for Quantum Devices and Station Q Copenhagen, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, DenmarkStephan PluggeCenter for Quantum Devices and Station Q Copenhagen, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, DenmarkYuval OregDepartment of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, IsraelC. M. MarcusCenter for Quantum Devices and Station Q Copenhagen, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, DenmarkMichael FreedmanDepartment of Mathematics, University of California, Santa Barbara, California 93106, USA
2017en
ABI

Аннотация

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting islands with significant charging energy. Quantum information can be manipulated according to a measurement-only protocol, which is facilitated by tunable couplings between Majorana zero modes and nearby semiconductor quantum dots. Our proposed architecture designs have the following principal virtues: (1) the magnetic field can be aligned in the direction of all of the topological superconducting wires since they are all parallel; (2) topological T junctions are not used, obviating possible difficulties in their fabrication and utilization; (3) quasiparticle poisoning is abated by the charging energy; (4) Clifford operations are executed by a relatively standard measurement: detection of corrections to quantum dot energy, charge, or differential capacitance induced by quantum fluctuations; (5) it is compatible with strategies for producing good approximate magic states.

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