Microsoft Corporation
Magic state distillation using inner and outer error correcting codes

Abstract:

Examples are disclosed that relate to, on a quantum computing device, distilling magic states encoded in a [[n,k,d]] block code comprising an outer code. One example provides a method comprising preparing encoded noisy magic states using data qubits, and measuring Clifford stabilizers on the data qubits, thereby applying an inner code. The method further comprises initializing output qubits and initiating a teleportation of distilled magic states derived from the encoded noisy magic states to the output qubits. The method further comprises measuring X-stabilizers on the data qubits, postselecting based on the outcomes, measuring each data qubit destructively utilizing Z-stabilizers, and applying one or more postselection conditions to the data qubits to complete the teleportation of the distilled magic states to the output qubits.