Parity Quantum Computing as yz -Plane Measurement-Based Quantum Computing
Isaac D. Smith, Hendrik Poulsen Nautrup, Hans J. Briegel · Physical Review Letters · 2024
We show that universal parity quantum computing employing a recently introduced constant depth decoding procedure is equivalent to measurement-based quantum computation (MBQC) on a bipartite graph using only yz-plane measurements. We further show that any unitary MBQC using only yz-plane measurements must occur on a bipartite graph. These results have a number of consequences and open new research avenues for both frameworks.