What’s the practical advantage of the color code as a main processor

What’s the practical advantage of the color code as a main processor Ask Question Asked 7 days ago Modified 7 days ago Viewed 69 times 2 I am trying to understand the competitive advantage of 2D color codes over surface codes, assuming a modern compiler stack using Pauli-Based Computation (PBC) and lattice surgery. Conventionally, color codes excel at transversal Clifford gates. However, in PBC, Clifford operations are tracked in the software Pauli frame. Since they are no longer the bottleneck in reaction-limited quantum computation, this temporal advantage seems to disappear. In a 2D planar architecture with restricted connectivity (such as superconducting devices), surface codes appear strictly superior due to: Lower-weight stabilizers (weight-4 vs. weight-6). Simpler syndrome extraction and better robustness against hook errors. More straightforward decoding (e.g., MWPM). While color codes might theoretically offer a better naive encoding rate, this footprint advantage diminishes when considering concatenated approaches or variants like the Yoked Surface Code combined with PBC. My question is: Under the PBC and lattice surgery framework, where exactly does the 2D color code retain a competitive advantage over the surface code? (Excluding magic state cultivation) error-correctionsurface-codelattice-surgerycolor-code Share Improve this question Follow asked May 26 at 13:40 Quing 1095 5 bronze badges Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. Your Answer Sign up or log in Sign up using Google Sign up using Email and Password Post as a guest Name Email Required, but never shown Post Your Answer By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. Start asking to get answers Find the answer to your question by asking. Ask question Explore related questions error-correctionsurface-codelattice-surgerycolor-code See similar questions with these tags. The Overflow Blog Best of the Heap: First post of the... What it takes to be a player in the international AI... Featured on Meta Native Ads Coming To Comments Related 6 What is a "temporal" or "timelike" logical error in the surface code? 5 State of the art logical gate implementations for surface code 4 Lattice surgery: how is merged code stabilized by 'merging stabilizers' if their measurement outcome can be -1? 6 Locally transforming a color code into two surface codes 1 Stabilizer of Color code 5 How to measure the irregular stabilizers, as in "A Game of Surface Codes"? 6 How does one implement Hadamard gate in Pauli-based computation? 3 Distance of superdense color code circuits 2 Is there an algorithm to determine the scheduling of CNOTs for rotated surface codes? 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