Parity Principles

Parity Lectures – Working with quantum circuits through Parity Flow

February 5, 2026

Just over a year ago, our team presented a completely new way of working with quantum circuits: Parity Flow. This formalism has been at the foundation of our algorithmic breakthroughs: it tracks the flow of quantum information in circuits, enabling the design of highly efficient algorithms, even reaching record-low gate count and depth.

As the papers outlining the invention have now been published in two APS journals, we’re excited to share a new 25-minute video lecture about Parity Flow, featuring Anette Messinger and Katharina Ludwig, out now on YouTube.

Anette and Katharina explain what is possible to obtain with Parity Flow, including:
– Deeper insights into protocols, from quantum circuits to stabilizer codes and measurement-based protocols
– Visualization of gate decompositions for easy construction and verification
– SWAP-less implementation of cornerstone quantum algorithms with record efficiency
– Assistance for debugging, circuit verification, and the derivation of circuit identities

Read the newly published papers below: