MAGIC STATE INJECTION INTO SURFACE CODES USING HOOK ERROR MECHANISMS

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MAGIC STATE INJECTION INTO SURFACE CODES USING HOOK ERROR MECHANISMS

This abstract first appeared for US patent application 20250005423 titled 'MAGIC STATE INJECTION INTO SURFACE CODES USING HOOK ERROR MECHANISMS

Original Abstract Submitted

methods, systems, and apparatus for encoding a magic state in a surface code patch of physical qubits with a target distance. in one aspect, a method includes performing a first surface code cycle on a surface code patch of physical qubits with an initial distance to encode the magic state into the surface code patch. performing the first surface code cycle introduces a hook error associated with a four-body stabilizer on a qubit included in the surface code patch, where the hook error rotates a logical observable of the surface code patch. further, performing the first surface code cycle includes initializing the qubit in the magic state. one or more rounds of error detection are performed on the surface code patch that encodes the magic state. the surface code patch is expanded to the target distance based on results of the one or more rounds of error detection.