bibkey: pollock2018operationalmarkov authors: Felix A. Pollock; Cesar Rodriguez-Rosario; Thomas Frauenheim; Mauro Paternostro; Kavan Modi year: 2018 title: “Operational Markov condition for quantum processes” doi: null url: https://arxiv.org/abs/1801.09811v1 claim: “Process tensors map specified intervention sequences to later states and joint outcome probabilities; causal breaks expose memory beyond single-time channels.” strata_touched: [] license: citation-only triage: anchor
Operational multitime process boundary
The cited primary record is arXiv:1801.09811v1. The process-tensor definition on page 2 makes the intervention sequence part of the object and uses the trace of the resulting state for joint outcome probabilities. The definition and theorem on page 3 use causal breaks to witness memory, and the stated lemma separates divisibility from a sufficient Markov characterization.
The LocalClock application cites this boundary to keep and a terminal probe-law family distinct from arbitrary multitime histories. No complete process tensor is inferred from the partial-swap channel family, and the classical retained-mode source is not identified with the quantum environment carrier.