Quantum computing devices with majorana hexon qubits

Abstract

Various embodiments of a modular unit for a topologic qubit and of scalable quantum computing architectures using such modular units are disclosed herein. For example, one example embodiment is a modular unit for a topological qubit comprising 6 Majorana zero modes (MZMs) on a mesoscopic superconducting island. These units can provide the computational MZMs with protection from quasiparticle poisoning. Several possible realizations of these modular units are described herein. Also disclosed herein are example designs for scalable quantum computing architectures comprising the modular units together with gates and reference arms (e.g., quantum dots, Majorana wires, etc.) configured to enable joint parity measurements to be performed for various combinations of two or four MZMs associated with one or two modular units, as well as other operations on the states of MZMs.

1 - 20 . (canceled) 
     
     
         21 . A method, comprising:
 selecting a Clifford gate operation;   providing a network comprising two or more neighboring instances of linear Majorana Hexon qubits arranged to perform the selected Clifford gate operation; and   implementing the Clifford gate operation with the network.   
     
     
         22 . The method of  claim 21 , wherein the two or more neighboring instances of the linear Majorana Hexon qubits are selectively coupled to one another by superconductive reference arms having tunable depletion gates configured to provide quantum-dot couplings between the neighboring instances of linear Majorana Hexon qubits, and wherein the two or more neighboring instances of the linear Majorana Hexon qubit are neighboring along a horizontal direction, a vertical direction, or both. 
     
     
         23 . The method of  claim 21 , wherein each of the two or more neighboring instances of linear Majorana Hexon qubits are defined by a corresponding topological superconducting nanowire partitioned into regions, including three MZM topological superconducting regions, each having a respective first end at which a respective first Majorana zero mode (MZM) resides and a respective second end, opposite the first respective end, where a respective second Majorana zero mode resides. 
     
     
         24 . The method of  claim 23 , wherein the two or more neighboring instances of the linear Majorana Hexon qubits are selectively coupled to one another by superconductive reference arms having tunable depletion gates configured to provide quantum-dot couplings between the neighboring instances of linear Majorana Hexon qubits, and wherein the two or more neighboring instances of the one-side Majorana Hexon qubits are neighboring along a horizontal direction, a vertical direction, or both.