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

By Torsten Karzig, Christina Knapp, R. Lutchyn, Parsa Bonderson, M. B. Hastings, C. Nayak, J. Alicea, K. Flensberg, S. Plugge, Y. Oreg and 2 more. 2016

540 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/2408fcb35027c1535db2cd0b0998cde99d4851b1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. K. Flensberg
2. C. Nayak
3. P. Caroff
4. Bela Bauer
5. P. Krogstrup
6. R. Lutchyn
7. Asbjørn Rasmussen
8. B. Nijholt

In Materials Chemistry

1. P. Caroff
2. K. Flensberg
3. C. Nayak
4. B. Nijholt
5. E. Rossi
6. R. Lutchyn
7. Masatoshi Sato
8. Y. Ando

Citations in the corpus

• Reproducing topological properties with quasi-Majorana states (2018, unknown): “[53] for realistic parameters as ∆ω ∼ 100 MHz.”
• Majorana zero modes in superconductor–semiconductor heterostructures (2017, unknown): “Panel e is reproduced with permission from reF.(165),”
• Majorana box qubits (2016, background): “Finally, we note that interesting generalizations with six or more MBSs on the box could implement measurement-induced braiding operations on a single box [30, 31].”
• Materials challenges and opportunities for quantum computing hardware (2021, unknown): “shown here is a one-sided “hexon” (339).”
• InAs-Al hybrid devices passing the topological gap protocol (2022, methodology): “The linear tetron qubit [110, 111] is a minimal device for performing two non-commuting fusion operations; 6 it is shown schematically in Fig.”
• Effects of Gate-Induced Electric Fields on Semiconductor Majorana Nanowires (2018, background): “[78] Torsten Karzig, Christina Knapp, Roman M Lutchyn, Parsa Bonderson, Matthew B Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, Charles M Marcus, and Michael H Freedman, “Scalable designs for quasiparticle-poisoning-protected topological quantum computation wit”