{"id":"fe37dac4-30b1-45a6-8e0d-0b25b3a42666","arxiv_id":"2603.10431","paper_version":2,"verdict":"CONDITIONAL","confidence":"LOW","novelty_score":4.5,"correctness_risk":"medium","formal_verification":"none","parameter_count":2,"one_line_summary":"In tripartite spin-boson models, local dephasing yields universal temperature-accelerated coherence decay while common dephasing produces strongly state-dependent residual coherence usable for thermometry.","lead":"This paper studies how temperature affects quantum coherence in three-qubit systems coupled to noisy environments, and whether coherence can act as a thermometer. It shows that shared versus separate baths produce very different temperature responses depending on the multipartite state, offering a proof-of-principle for coherence-based quantum thermometry.","discovery_kind":"extension","skeptic_critique":{"model":"grok-4.5","headline":"Abstract-only review cannot verify whether residual-coherence tables are parameter-free or calibrated against independent thermometers, so the thermometry foundation claim remains untested.","rationale":"The paper’s strongest claim is that environmental configuration (local vs common) plus multipartite architecture jointly control thermal susceptibility of relative-entropy-of-coherence, thereby enabling proof-of-principle coherence thermometry. The only concrete evidence offered in the abstract is the qualitative contrast between universal decay under local dephasing and state-dependent residuals under common dephasing, together with the existence of “representative thermometry tables.” Because no equations, parameter values, or numerical data are supplied, the load-bearing step—whether those residuals constitute a calibrated, parameter-free temperature proxy—cannot be verified. This is precisely the weakest assumption identified by the Reader. No stronger internal inconsistency can be diagnosed from the abstract alone, and disagreement with consensus is not at issue. Consequently the Reader’s CONDITIONAL / LOW-confidence verdict is left unchanged; the concrete test above simply operationalizes the verification that the full text must still supply.","tokens_in":2081,"tokens_out":580,"duration_ms":4986,"concrete_test":"Once the full text appears, extract the residual-coherence values listed for the |W\rangle and |W W-bar\rangle states at three temperatures (e.g., T=0, T=0.5 \theta_c, T=\theta_c) under common dephasing; recompute them from the analytic or numerical solution of the spin-boson master equation with the same spectral density but with an added weak amplitude-damping channel (\tau_relax \to 10 \tau_deph). If the residual values shift by more than 10 % or lose monotonicity, the claimed temperature correspondence fails.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim that residual relative-entropy-of-coherence under pure non-Markovian dephasing supplies a usable temperature proxy rests on two uncheckable assertions in the abstract: (i) that the long-time residual values for |W\rangle, |W W-bar\rangle and the mixed states form a monotonic, invertible map to temperature, and (ii) that this map is independent of the microscopic bath parameters (spectral density, cutoff, coupling strength) that define the spin-boson model. Because the full text, equations, and tables are unavailable, it is impossible to confirm that the reported “thermometry tables” are free of fitted parameters or that competing noise channels (amplitude damping, pure dephasing plus relaxation) leave the residual coherence intact. The reader’s weakest-assumption diagnosis is therefore correct and remains the single load-bearing soft spot: without those tables and their derivation, the proof-of-principle foundation cannot be assessed.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.5","summary":"The manuscript studies how finite environmental temperature affects the relative entropy of coherence of tripartite pure and mixed states in a spin-boson model under pure non-Markovian dephasing, comparing local versus common reservoir configurations. From the abstract, local dephasing is reported to produce a universal, temperature-accelerated monotonic decay of coherence for all states considered. Common dephasing is reported to be strongly state-dependent: complete long-time coherence loss for |GHZ⟩ and |Star⟩, temperature-independent stationary coherence for |W⟩, and finite residual long-time coherence for |W W-bar⟩ (with analogous behaviour for mixed states). The authors claim that these residual-coherence values establish a direct coherence–temperature correspondence, presented via representative thermometry tables, as a proof-of-principle foundation for coherence-based quantum thermometry.","tokens_in":2233,"tokens_out":935,"duration_ms":15351,"significance":"If the reported residual-coherence–temperature map is monotonic, invertible, and robust under the stated model, the work would supply a concrete, multipartite-resource route to quantum thermometry that jointly exploits environmental configuration and state architecture. The contrast between universal local-dephasing decay and state-selective common-dephasing residuals is of independent interest for non-Markovian open-system dynamics. Explicit thermometry tables, if free of fitted microscopic parameters and reproducible, would be a useful deliverable for the quantum-sensing community. Significance remains conditional on verification of those tables and of the underlying master-equation analysis, which cannot be assessed from the abstract alone.","major_comments":[{"comment":"The central thermometry claim rests on ‘representative thermometry tables’ that map residual relative entropy of coherence to temperature. The abstract does not state whether these residual values are independent of the bath spectral density, cutoff, and coupling strengths that define the spin-boson model, nor whether the map is strictly monotonic and invertible over the sampled temperature range. Without the tables, their derivation, and any parameter-sweep checks, the proof-of-principle foundation cannot be verified.","section":null},{"comment":"The abstract asserts temperature-independent stationary coherence for |W⟩ and finite residual coherence for |W W-bar⟩ under common dephasing. These are load-bearing for the state-architecture claim. The abstract supplies no master equation, decoherence factor, or long-time limit that would allow an independent check that the residual is truly nonzero and temperature-independent rather than an artefact of a particular cutoff or coupling regime.","section":null},{"comment":"The model is restricted to pure non-Markovian dephasing. Competing channels (amplitude damping, combined dephasing plus relaxation, or Markovian limits) are not addressed in the abstract. If residual coherence is destroyed by any realistic admixture of energy-exchange noise, the thermometry correspondence is not robust enough to serve even as a proof-of-principle foundation; this robustness needs to be demonstrated or clearly scoped.","section":null},{"comment":"Relative entropy of coherence is not a directly measured observable. The abstract does not discuss tomography cost, number of copies, or calibration against an independent thermometer. For a thermometry proposal this is load-bearing: a coherence–temperature table is useful only if the coherence can be extracted with known uncertainty at the claimed temperatures.","section":null}],"minor_comments":[{"comment":"Abstract notation for the mixed and |W W-bar⟩ states is compact; once the full text is available, a single explicit definition of each state (pure and mixed) in a methods or preliminaries section would aid reproducibility.","section":null},{"comment":"The phrase ‘proof-of-principle foundation’ should be tied, in the full manuscript, to a clearly stated set of model assumptions so that the scope of the claim is unambiguous.","section":null}],"recommendation":"uncertain","confidential_remarks":"This is an abstract-only review; the full text, equations, and thermometry tables were not available. I therefore cannot confirm soundness of the derivations or the parameter-freedom of the tables. Recommendation is ‘uncertain’ pending the complete manuscript. If the full paper is supplied and the residual-coherence map is shown to be monotonic and independent of microscopic bath parameters under the stated pure-dephasing model, a re-review toward minor or major revision would be appropriate rather than rejection on consensus grounds alone."},"author_rebuttal":null,"desk_editor":{"model":"grok-4.5","letter":"The one thing to know is that this is an abstract-only open-systems paper claiming that common (vs local) non-Markovian dephasing plus multipartite state architecture jointly control residual relative-entropy-of-coherence, and that the residuals can be turned into proof-of-principle thermometry tables. Without equations or tables we cannot verify the load-bearing claims.\n\nWhat looks new, if the full text holds it up, is the concrete state-dependent pattern under common finite-temperature dephasing: complete loss for GHZ and Star, temperature-independent stationary coherence for W, residual long-time coherence for W-bar-W, and analogous mixed-state behavior. Local dephasing giving universal accelerated decay is expected; the common-bath contrast is the actual contribution. Framing residual coherence as a temperature proxy for devices already using GHZ/W resources is a legitimate metrology angle.\n\nSoft spots are real and proportional to the missing text. The stress-test is right: we cannot confirm that the residual-coherence map is monotonic and invertible in T, or that it is independent of bath spectral density, cutoff, and coupling. Free parameters are therefore uncheckable. Competing channels (amplitude damping, relaxation) are not addressed in the abstract, nor is measurement cost or calibration against an independent thermometer. Circularity risk looks modest from the abstract alone—no obvious free-parameter fitting is advertised—but residual risk remains that the tables simply invert the same simulated dynamics. Soundness score has to stay provisional.\n\nThis is for people already working on multipartite open systems, non-Markovian dephasing, or quantum thermometry with coherence measures. A serious referee should see the full manuscript if the journal wants that niche; I would not desk-reject on abstract alone, but I would demand the master equations, the tables with error bars, and an explicit statement on parameter independence. I would not bring the abstract to reading group and I would not cite it yet. If the full paper ships clean derivations and parameter-free tables, the verdict upgrades; until then it is a conditional extension of known local-vs-common themes.","headline":"Abstract-only multipartite coherence thermometry claim: state-dependent residual coherence under common dephasing is the interesting bit, but the thermometry tables and parameter independence cannot be checked.","tokens_in":2910,"tokens_out":535,"would_cite":false,"duration_ms":5157,"reading_group":"no","serious_thinker":"unclear","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.5","headline":"Quantum coherence of multipartite states can act as a temperature proxy under dephasing, with the response set by reservoir sharing and state structure.","keywords":["quantum thermometry","quantum coherence","relative entropy of coherence","multipartite states","non-Markovian dephasing","spin-boson model","GHZ W Star states","common versus local environments"],"falsifier":"Measure residual relative entropy of coherence for a prepared W or W-bar-W tripartite state under controlled common versus local dephasing baths at several known temperatures and check whether residual values match the paper's tabulated coherence-temperature correspondence or instead show temperature dependence (for W) or total loss (for W-bar-W) that the model forbids.","tokens_in":2919,"feed_emoji":"❄️","tokens_out":613,"duration_ms":5409,"temperature":0.7,"pith_summary":"The paper asks whether quantum coherence itself can serve as a temperature-sensitive readout for multipartite systems, and shows that the answer depends on both how the environment is shared and how the multipartite state is built. In a tripartite spin-boson model with finite-temperature non-Markovian dephasing, local environments produce a universal monotonic decay of relative entropy of coherence that speeds up with temperature for every pure and mixed state considered. Common environments, by contrast, produce strongly state-dependent thermal responses: GHZ and Star states lose all coherence, the W state keeps a temperature-independent stationary coherence, and the W-bar-W state retains finite residual coherence at long times, with mixed states showing analogous patterns. The authors convert these residual-coherence values into representative thermometry tables that map residual coherence to temperature, offering a proof-of-principle route to coherence-based quantum thermometry. The result matters because temperature sensing at the quantum scale is a growing bottleneck for quantum technologies, and coherence is already a routinely quantified resource.","feed_headline":"Coherence becomes a temperature gauge for multipartite states","feed_subtitle":"Local dephasing kills coherence uniformly; common baths leave state-dependent residuals that map to temperature","key_machinery":"Relative entropy of coherence evaluated on the reduced dynamics of a tripartite spin-boson model under pure non-Markovian dephasing, for both local and common finite-temperature reservoirs; residual long-time values of this quantity are the temperature proxies tabulated for representative pure and mixed states.","core_discovery":"The thermal susceptibility of multipartite quantum coherence is governed jointly by environmental configuration (local versus common dephasing) and multipartite state architecture, so that residual relative entropy of coherence under common dephasing can be placed in direct correspondence with temperature and used for proof-of-principle coherence thermometry.","pith_inferences":[],"forward_implications":[],"fun_headline_variants":["Multipartite coherence maps temperature under common dephasing","Local vs common baths reshape coherence temperature response","Residual coherence under common dephasing enables thermometry","State architecture and environment govern coherence as thermometer","Relative entropy of coherence tracks temperature in tripartite systems"],"cache_read_input_tokens":128,"weakest_assumption_plain":"That residual relative entropy of coherence under idealized pure non-Markovian dephasing is a sufficiently faithful and accessible temperature proxy, without competing noise channels or independent calibration.","fun_headline_variants_meta":{"raw":{"variants":["Multipartite coherence maps temperature under common dephasing","Local vs common baths reshape coherence temperature response","Residual coherence under common dephasing enables thermometry","State architecture and environment govern coherence as thermometer","Relative entropy of coherence tracks temperature in tripartite systems"]},"model":"grok-4.5","effort":"low","cost_usd":0.003724,"raw_usage":{"total_tokens":1210,"prompt_tokens":788,"num_sources_used":0,"completion_tokens":55,"cost_in_usd_ticks":37240000,"prompt_tokens_details":{"text_tokens":788,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":367,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":788,"tokens_out":55,"duration_ms":2704,"temperature":1.0,"reasoning_tokens":367,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-14T23:35:17.178434+00:00","model_set":{"reader":"grok-4.5"},"falsifier":"Measure residual relative entropy of coherence for a prepared W or W-bar-W tripartite state under controlled common versus local dephasing baths at several known temperatures and check whether residual values match the paper's tabulated coherence-temperature correspondence or instead show temperature dependence (for W) or total loss (for W-bar-W) that the model forbids.","supporting_citations":[],"review_version":1}