Dynamically Generated Logical Qubits

Summary

This paper introduces a novel quantum error correcting code that dynamically generates logical qubits from a subsystem code with no initial logical qubits, enabling fault-tolerant quantum memory.

Key findings

• Logical qubits can be generated dynamically from a subsystem code.
• The code functions as a fault-tolerant quantum memory.
• The code is analogous to the 2D toric code.
• Measurements involve two-qubit Pauli measurements.

Methods

• Development of a quantum error correcting code.
• Utilizing measurement patterns to generate logical qubits.
• Modeling the code after the two-dimensional toric code.
• Employing two-qubit Pauli measurements.

Limitations

• The subsystem code initially has no logical qubits.
• Specific details of the dynamic generation process are not elaborated beyond measurement patterns.

Applications

• Fault-tolerant quantum memory.