1-bit teleportation vs knill teleportation to perform T gate

1-bit teleportation vs knill teleportation to perform T gate Ask Question Asked 1 year ago Modified today Viewed 102 times 1 I often see the papers saying that a T gate can be implemented by preparing a magic state and using gate teleportation (1-bit teleportation) as shown in the first figure below. On the other hand, I also know that there is another teleportation-based gate implementation scheme, which uses knill teleportation gadget with two ancilla blocks (shown in the second figure below). As noted in this paper, if we prepare the ancilla state to a specific state, we can also implement T gate using this knill teleportation gadget. In my impression, 1-bit teleportation is more often used in papers, but what is the reason? What are pros and cons, and is there a situation where we can use only one of them? error-correctionteleportation Share Improve this question Follow asked Feb 27, 2025 at 5:18 lan 3411 1 silver badge 7 7 bronze badges Add a comment 1 Answer Sorted by: Highest score (default) Date modified (newest first) Date created (oldest first) 0 There doesn't seem to be a significant difference between the circuit operations besides the explicit Bell state preparation in the Knill scheme. Whether you prefer one or the other depends on your hardware, algorithm, logical gateset, etc.. The 1 bit teleportation scheme requires less qubits; the paper you linked states that the Knill scheme requires large ancilla blocks. It may be difficult for architectures with limited connectivity to perform the Bell pair measurement. The Knill teleportation scheme could be better suited to distributed quantum computing, where computational resources are prepared beforehand and teleported to computations via entangled Bell pair connections. Depending on your algorithm, there are probably smarter states to precompute and teleport than T states. Share Improve this answer Follow edited Feb 16 at 20:00 answered Feb 16 at 5:37 YoungProbopass 375 5 bronze badges Add a comment 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-correctionteleportation See similar questions with these tags. The Overflow Blog Domain expertise still wanted: the latest trends in AI-assisted knowledge for... 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