IBM Quantum dynamic circuit phase diagnostics: MCM induced spectator phase shifts and virtual Z mitigation (datasets + reproducible analysis)

QC + CT data & reproducibility bundle (DATA-ONLY) This Zenodo record provides raw IBM Quantum QPU shot-count data, experiment metadata, and reproducible analysis scripts for complex-plane diagnostics of phase rotations induced by mid-circuit measurement (MCM) in dynamic circuits, together with minimal code to reproduce the key tables/figures used in two companion research directions: QC engineering: a minimal two-qubit Ramsey diagnostic and low-overhead mitigation of deterministic (coherent) phase shifts via virtual-Z (frame) compensation. CT i‑phase: a foundations-oriented analysis that interprets the same measurable complex-plane rotations as an operational manifestation of an internal complex-time (CT) phase coordinate (“i-phase”). Important scope note (to avoid DOI/version confusion):This record is intentionally DATA-ONLY (data + code).Timestamped manuscript drafts (preprints) are deposited as separate Zenodo records and should be linked via Related identifiers. Experimental protocol (summary) Experiments implement a minimal two-qubit Ramsey-type interferometer on a superconducting quantum processor. A fixed target/spectator layout is used (see per-file metadata). During the Ramsey idle window, we insert M spectator events at scheduled points and compare two matched conditions: MEAS: perform M mid-circuit measurements on the spectator qubit. DELAY: insert matched delays (same timing) without measurement. The target qubit is measured in X and Y bases to reconstruct the complex equatorial signalz = ⟨σx⟩ + i⟨σy⟩ = r · exp(iθ).From paired MEAS/DELAY runs we form the complex ratiow(M) = z_MEAS(M) / z_DELAY(M),so that arg(w) isolates the coherent phase shift and log|w| quantifies amplitude shrinkage. For mitigation workflows, MEAS circuits optionally include a virtual-Z correction on the target:Rz(comp × M), where comp is scanned/calibrated (rad per measurement). Contents (folder structure) QC_engineering/Engineering-focused datasets, summaries, and plotting helpers (MAP/PROBE/PROD-style workflows). data/raw_paygo/ original IBM job JSON outputs and provenance zips data/zenodo_v2_summary/ compact CSV/JSON summaries used by plotting scripts code/ plotting scripts + requirements.txt figures/ exported PDF figures (for quick inspection) output/ (generated) reproduction outputs CT_iPhase/Minimal CT i‑phase reproduction pipeline and representative datasets (A/B/C). data/ raw counts/job archives (zip/json) scripts/ ct_reproduce_all.py + requirements.txt output/ pre-generated tables/figures (can be regenerated) figures/ PNG figure assets MANIFEST_sha256.csvFile list with SHA-256 checksums for integrity verification. Included representative datasets (traceability) This record bundles multiple IBM Quantum job outputs. Key representative datasets used by the CT_iPhase pipeline include: Dataset A: high-SNR MEAS vs DELAY probe (repeated runs; shot counts; reconstructed into d5fm0k_reconstructed_counts.json) Dataset B: compensation scan (comp grid; packaged as QC2_A1_MIN_...zip) Dataset C: Layer-3 A/B dataset (packaged as CT3_Layer3_COH_...zip) Additional JSON files (e.g., probe/production sweeps) are included for provenance and engineering reproducibility. Reproducibility (quick start) Recommended environment: Python ≥ 3.9. CT_iPhase (tables/figures): python -m pip install -r CT_iPhase/scripts/requirements.txt python CT_iPhase/scripts/ct_reproduce_all.py Outputs are written to CT_iPhase/output/. QC engineering (plots): python -m pip install -r QC_engineering/code/requirements.txt python QC_engineering/code/plot_map_fig2.py python QC_engineering/code/make_fig_probe.py Outputs are written to QC_engineering/output/. Notes and acknowledgments Filenames are ASCII-only to improve cross-platform extraction and reuse. This work used the IBM Quantum service. The views expressed are those of the author and do not reflect the official policy or position of IBM or the IBM Quantum team.