We present Quantum Depth Compression (QDC), a general compilation framework that utilizes dynamic circuits to reduce arbitrary quantum circuits to depth linear in the number of non-Clifford gates and to grid connectivity without the need for expensive SWAP-networks. The framework consists of pushing Clifford gates to the end of the circuit, resulting in a sequence of non-Clifford Pauli-phasors followed by an all Clifford sub-circuit, both of which are then reduced to constant depth via dynamic circuits. We show that applying QDC to random Pauli-phasor circuits lowers both their depth and CNOT count compared to a standard alternative compiler.
@article{arxiv.2603.17774,
title = {Quantum Depth Compression via Local Dynamic Circuits},
author = {Benjamin Hall and Palash Goiporia and Rich Rines},
journal= {arXiv preprint arXiv:2603.17774},
year = {2026}
}