Constant T-Depth Control for Clifford+T Circuits
Published:Dec 31, 2025 17:28
•1 min read
•ArXiv
Analysis
This paper addresses the problem of controlling quantum circuits, specifically Clifford+T circuits, with minimal overhead. The key contribution is demonstrating that the T-depth (a measure of circuit complexity related to the number of T gates) required to control such circuits can be kept constant, even without using ancilla qubits. This is a significant result because controlling quantum circuits is a fundamental operation, and minimizing the resources required for this operation is crucial for building practical quantum computers. The paper's findings have implications for the efficient implementation of quantum algorithms.
Key Takeaways
Reference
“Any Clifford+T circuit with T-depth D can be controlled with T-depth O(D), even without ancillas.”