Simulating Mølmer-Sørensen leakage (replace gate with identity) in Deltakit Stim?

Simulating Mølmer-Sørensen leakage (replace gate with identity) in Deltakit Stim? Ask Question Asked 8 days ago Modified 6 days ago Viewed 80 times 1 To simulate leakage errors I'm using Riverlane's Deltakit-Stim (a fork of Stim with leakage support). This uses a depolarising leakage model: if a qubit leaks, it fully depolarises and any qubit it subsequently interacts with (via a two-qubit gate) also becomes fully depolarised (i.e. in Stim apply DEPOLARIZE1(0.75) or X_ERROR(0.5) then Z_ERROR(0.5) -- both of which send the qubit to the maximally mixed state). As explained nicely in Natalie Brown et al.'s paper, Mølmer-Sørensen gates are often the two-qubit gates in ion traps however doing a Mølmer-Sørensen gate between a leaked and non-leaked qubit does not mean fully depolarise the non-leaked qubit. Instead, the two-qubit gate is replaced with the identity. More precisely it means replace the two-qubit Mølmer-Sørensen rotation with the identity while any single-qubit corrections still gets applied. For example, as per the diagram below, the XX − − − √ =XX(π / 4) 𝑋 𝑋 = 𝑋 𝑋 ( 𝜋   /   4 ) gate would not get applied but the single-qubit corrections which were there to turn it into a CNOT gate would still get applied to the non-leaked qubit. My question is, how can I model this sort of leakage with Deltakit-Stim? Where any subsequent two-qubit gate is just replaced with the identity (and optionally with extra single-qubit corrections applied too)? . stimstabilizer-codeleakage Share Improve this question Follow edited May 25 at 23:32 asked May 25 at 11:46 drumadoir 3571 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 Currently this noise model can only be approximated through a depolarising model of leakage because eliminating gates conditionally based on a qubit being in a non computational state (such as leakage) is not supported. It would take some careful engineering to ensure that Stim's shot level parallelism is maintained in the presence of shot specific conditions on gate execution. What would be needed is support for conditional gate erasure, where some operations (e.g. two qubit Cliffords) are removed when a qubit is leaked while others (e.g. single qubit Cliffords) are still applied. Our initial thinking in this area has primarily focused on atom loss style models (for AMO-based noise models), where all gates acting on a lost qubit are erased. Extending this to more selective gate removal – like dropping only two qubit gates but retaining single qubit operations – would require additional functionality. This isn't part of our immediate roadmap, but we'd be happy to discuss your use case further if helpful – feel free to reach out (mark.turner AT riverlane.com). Share Improve this answer Follow answered May 27 at 16:16 Mark Turner 16 New contributor Ok thanks Mark! –  drumadoir Commented May 28 at 1:10 Add a comment Your Answer 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 stimstabilizer-codeleakage See similar questions with these tags. 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