Fault-tolerant multi-qubit gates in Parity Codes

2025/12/15 by Anette Messinger, Messinger, Anette, Christophe Goeller +3
Computer Science · Engineering · #Quantum Computing Algorithms and Architecture #Radiation Effects in Electronics #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.2512.13335

Abstract

We present a set of efficiently implementable logical multi-qubit gates in concatenated quantum error correction codes using parity qubits. In particular, we show how fault-tolerant high-weight rotation gates of arbitrary angle can be implemented on single physical qubits of a classical stabilizer code, or on localized regions of full quantum error correction codes. Similarly, we show how transversal CNOT gates can implement logical parity-controlled-NOT operations between arbitrarily many logical qubits. Both operation types can be implemented and in many cases parallelized without the use of lattice surgery or the need for complicated routing operations.

Citations

• Constructive plaquette compilation for the parity architecture
• Low overhead quantum computation using lattice surgery
• A Quantum Approximate Optimization Algorithm

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