Quantum Codes with Addressable and Transversal Non-Clifford Gates

Understand

The development of quantum codes with good error correction parameters and useful sets of transversal gates is a problem of major interest in quantum error-correction.

• Abundant prior works have studied transversal gates which are restricted to acting on all logical qubits simultaneously.
• In this work, we study codes that support transversal gates which induce $\textit{addressable}$ logical gates, i.e., the logical gates act on logical qubits of our choice.
• As we consider scaling to high-rate codes, the study and design of low-overhead, addressable logical operations presents an important problem for both theoretical and practical purposes.