What are the best protocols for distilling magic states for higher levels (k>3) of the Clifford hierarchy?

What are the best protocols for distilling magic states for higher levels (k>3) of the Clifford hierarchy? Ask Question Asked today Modified today Viewed 12 times 0 Magic state distillation for phase rotation with angle π 2 k 𝜋 2 𝑘 is possible with 2 k+2 −1 2 𝑘 + 2 − 1 qubits using (k+1) ( 𝑘 + 1 ) -dimensional color codes. Are there any other code families or constructions that allow cheaper alternatives to color codes for arbitrary k 𝑘 ? error-correctionmagic-states Share Improve this question Follow asked 4 hours ago scaredaf 1 New contributor 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. 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