OPTIMAL FAULT-TOLERANT IMPLEMENTATIONS OF HEISENBERG INTERACTIONS AND CONTROLLED-Zª GATES

摘要

The disclosure describes various aspects of techniques for optimal fault-tolerant implementations of controlled-Z^a gates and Heisenberg interactions. Improvements in the implementation of the controlled-Z^a gate can be made by using a clean ancilla and in-circuit measurement. Various examples are described that depend on whether the implementation is with or without measurement and feedforward. The implementation of the Heisenberg interaction can leverage the improved controlled-Z^a gate implementation. These implementations can cut down significantly the implementation costs associated with fault-tolerant quantum computing systems.