Patent US10333048

Universal topological quantum computers based on majorana nanowire networks
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US10333048

1. A universal topological quantum computing device comprising: (4) (1)

a plurality of semiconductor-superconductor heterostructures configured to have a twist defect in an Ising x Ising topological state.

2. The universal topological quantum computing device of claim 1, wherein at least two of the semiconductor-superconductor heterostructures form a two-state quantum system having an effective spin-½ degree of freedom. (3) (0)

3. The universal topological quantum computing device of claim 2, wherein the two-state quantum system comprises: (0) (2)

4. The universal topological quantum computing device of claim 2, wherein at least one of the semiconductor -superconductor heterostructures comprises: (0) (1)

5. The universal topological quantum computing device of claim 2, wherein at least one of the semiconductor-superconductor heterostructures comprises: (0) (1)

6. The universal topological quantum computing device of claim 1, wherein the semiconductor-superconductor hetero structures are arranged to form a two-dimensional Kitaev honeycomb spin model. (0)

7. The universal topological quantum computing device of claim 1, wherein the semiconductor-superconductor heterostructures are arranged into pairs, each pair comprising a first and a second semiconductor-superconductor heterostructure. (1) (0)

8. The universal topological quantum computing device of claim 7, wherein the pairs of semiconductor-superconductor heterostructures are arranged into a two-dimensional lattice comprising: (1) (3)

a set of the pairs connected via a first nanowire to nearest neighboring pairs along a first dimension;

a first subset of the set connected via one or more second nanowires to distant pairs along a second dimension, the one or more second nanowires forming overpasses that bypass one or more nearest neighboring pairs along the second dimension; and

a second subset of the set connected via one or more third nanowires to nearest neighboring pairs along the second dimension.

9. The universal topological quantum computing device of claim 8, wherein the one or more third nanowires create the twist defect. (0)

10. A π/8 phase gate comprising the universal topological quantum computing device of claim 1. (0)

11. A universal topological quantum computer comprising: (0) (1)

12. A universal topological quantum computing device comprising multiple two-spin unit cells, each two-spin unit cell comprising two pairs of a superconducting-semiconducting heterostructure, wherein a pair of the superconducting-semiconducting heterostructure comprises: (1) (2)

a first superconducting island on which a first semiconducting nanowire is located; and

a second superconducting island on which a second semiconducting nanowire is located, the first superconducting island being substantially perpendicular to the second superconducting island and being coupled to one another via a Josephson junction.

13. The universal topological quantum computing device of claim 12, wherein the two-spin unit cells are arranged into a two-dimensional lattice comprising: (1) (3)

a set of the pairs connected via a first nanowire to nearest neighboring pairs along a first dimension;

a second subset of the set connected via one or more third nanowires to nearest neighboring pairs along the second dimension.

14. The universal topological quantum computing device of claim 13, wherein the one or more third nanowires create the twist defect. (1) (0)

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Patent US10333048

Universal topological quantum computers based on majorana nanowire networks

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