Universal Topological Quantum Computers Based On Majorana Nanowire Networks
In this disclosure, example networks of coupled superconducting nanowires hosting MZMs are disclosed that can be used to realize a more powerful type of non-Abelian defect: a genon in an Ising×Ising topological state. The braiding of such genons provides the missing topological single-qubit π/8 phase gate. Combined with joint fermion parity measurements of MZMs, these operations provide a way to realize universal TQC.
Claim CLM-00001. 1. A universal topological quantum computing device comprising:
a plurality of semiconductor-superconductor heterostructures configured to have a twist defect in an Ising x Ising topological state.
Claim CLM-00011. 11. A universal topological quantum computer comprising:
one or more semiconductor-superconductor hetero structures configured to have holes with gapped boundaries in an Ising×Ising topological state, where Ising is the time-reversed conjugate of the Ising state.
Claim CLM-00012. 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:
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.
