EFFICIENT RESOURCE STATE DISTILLATION

摘要

Systems and methods are provided for generating at least one high fidelity resource state. A classical code and punctured to provide a first set of generators and a second set of generators. The first set of generators is mapped to a set of stabilizer generators, and the second set of generators is mapped to a set of logical operators. A set of resource states are prepared in physical qubits. A decoding process is performed on the resource states according to a quantum code represented by the set of stabilizer generators and the set of logical operators, and qubits corresponding to the stabilizers are measured.

主权项

1. A system for generating at least one high fidelity resource state from a plurality of relatively low fidelity resource states, the system comprising:
an encoding circuit that encodes a set of logical qubits into a plurality of physical qubits according to a punctured classical code; a rotation component that consumes the relatively low fidelity resource states to apply a rotation to a state stored in each physical qubit around an axis of the Bloch sphere of π/g, where g is a positive integer power of two; a decoding circuit that decodes the rotated logical states stored in the physical qubits to provide the set of logical qubits stored in a proper subset of the plurality of physical qubits, at least one of the set of logical qubits comprising a high fidelity magic state.