Computing expectation value of logical pauli operators in presence of non-deterministic observables using Stim

Computing expectation value of logical pauli operators in presence of non-deterministic observables using Stim Ask Question Asked today Modified today Viewed 3 times 0 I want to compute the elements of Pauli Transfer Matrix (PTM) corresponding to a logical channel (i.e. a channel that applies noise on data qubits, measures the stabilizers (in presence of noise) and applies correction based on the decoder estimate) by performing a logical process tomography. This involves choosing an informationally complete set of states (For e.g. |0>,|1>,|+>,|+i> for single qubit tomography), applying the logical channel and computing the expectation values of each logical pauli observable i.e. computing Tr[PE(rho)] where E is the logical channel which also includes the correction. The PTM can be constructed based on these 16 expectation values. Out of these 16 cases, 4 correspond to memory experiment where logical qubit is prepared and measured in the end in the same basis. So is it correct to say that while simulating using stim, error corrected expectation value = (N_correct) - (N_incorrect)/Total shots, where N_correct=Number of shots where the measured logical observable agrees with the decoder’s prediction? How should I estimate expectation value in cases where the input state is not an eigenstate of the measured Pauli? For e.g., qubit is prepared in lets say |+> state and final measurement is done in Z basis? Some detectors will be non-deterministic here, so how should I perform decoding? error-correctionstim Share Improve this question Follow asked 49 mins ago qtrino 1 New contributor Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. 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