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Conj. 1 Zotero Actions Report

Papers To Manually Add

  • None in this cycle. The previously recommended finite-memory papers are now present in Zotero.

Already In Library

  • Title: Effect of Nonunital Noise on Random-Circuit Sampling Zotero key: 8KYZU3I5 Relevance: This is the main theorem anchor for Conjecture 1 and the closest established result to the target statement.

  • Title: Non-Markovian quantum processes: Complete framework and efficient characterization Zotero key: 9GW84HMS Relevance: Supplies the process-tensor language needed to formulate the conjecture precisely under temporally correlated noise.

  • Title: Random Quantum Circuits Anticoncentrate in Log Depth Zotero key: FBDHEDWG Relevance: Serves as the noiseless baseline contrast for why nonunital noise is an obstruction rather than a generic feature of random circuits.

  • Title: Tight Bounds on the Convergence of Noisy Random Circuits to the Uniform Distribution Zotero key: 26KPCQIK Relevance: Supplies the unital-noise contrast regime; useful for separating “fails by becoming uniform” from “fails because nonunitality preserves bias.”

  • Title: Quantum Markov Order Zotero key: UQ6A32CB Relevance: Clean theorem-level warning that finite quantum memory is instrument-specific rather than a naive history-independent notion.

  • Title: Structure of quantum stochastic processes with finite markov order Zotero key: RYX45LNE Relevance: Structural refinement of quantum Markov order and a concrete source of finite-memory model classes.

  • Title: Operational markov condition for quantum processes Zotero key: PG4KVKGZ Relevance: Exact Markovian benchmark for comparing memoryless and bounded-memory noise models.

Deferred

  • Title: A Lieb-Robinson bound for open quantum systems with memory Reason not added in this cycle: Highly relevant to the spatial-locality part of Conjecture 1, but the present cycle focused on the bounded-Markov-order temporal reduction first.