{"id":"3d1b21f9-3e25-47ce-aca1-eb210fd0ee10","arxiv_id":"2606.21555","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":6.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"Proves a hybrid quantum TUR for N-S conductors valid for arbitrary superconducting gap by showing nonequilibrium excess noise has positive representation in scattering formalism.","lead":"This paper proves a thermodynamic uncertainty relation for hybrid normal-superconducting conductors that accounts for both quasiparticle transmission and Andreev reflection processes. A smart generalist might read it to understand fundamental bounds on current fluctuations versus dissipation in quantum devices involving superconductors.","discovery_kind":"new_application","skeptic_critique":{"model":"grok-4.3","headline":"No significant objection identified","rationale":"The reader's weakest_assumption correctly isolates the step that must be shown to hold. Absent the full text, no further technical flaw can be diagnosed; the abstract logic is internally consistent with the claimed extension of the pure-Andreev TUR.","tokens_in":1689,"tokens_out":260,"duration_ms":10490,"concrete_test":"Extract the explicit expression for the excess noise from the scattering-matrix decomposition in the full manuscript and verify algebraically that all coefficients remain non-negative for arbitrary real Δ (including the limits Δ \to 0 and Δ \to ∞) without additional restrictions on transmission eigenvalues.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim rests on showing that nonequilibrium excess noise (after subtracting equilibrium contributions) admits a positive representation despite interference terms in the Anantram-Datta decomposition. The abstract indicates this representation is constructed to be independent of the specific real value of the gap Δ. Because the full derivation is not reproduced here and no internal inconsistency or hidden assumption is visible in the stated logic, the argument as summarized does not exhibit a load-bearing flaw that would invalidate the hybrid TUR.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript claims to prove a hybrid quantum thermodynamic uncertainty relation (TUR) for normal-superconducting (N-S) coherent conductors. Using the Anantram-Datta scattering formalism, the charge current and zero-frequency noise are decomposed into Andreev, quasiparticle, and interference contributions. The central technical step is showing that the nonequilibrium excess noise admits a positive representation independent of the real superconducting gap Δ; this representation is then used to establish a TUR that extends the pure Andreev case to regimes where quasiparticle and Andreev processes coexist.","tokens_in":1752,"tokens_out":322,"duration_ms":29687,"significance":"If the positive representation of the excess noise holds without additional assumptions, the result supplies a universal dissipation-precision bound for hybrid quantum conductors. The approach is grounded in standard scattering theory and provides a concrete way to accommodate interference terms while preserving the TUR structure, which is a useful extension beyond the pure Andreev limit.","major_comments":[],"minor_comments":[{"comment":"The abstract states that a proof of the positive representation exists, but the manuscript would benefit from an explicit outline or appendix summarizing the key algebraic steps that establish positivity and Δ-independence, to facilitate verification.","section":null},{"comment":"Notation for the decomposed currents (Andreev, quasiparticle, interference) should be introduced with a clear table or equation block early in the text for readability.","section":null}],"recommendation":"minor_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the careful reading and positive assessment of our manuscript, including the accurate summary of the hybrid quantum TUR and the role of the positive representation of nonequilibrium excess noise. We note the recommendation for minor revision and will incorporate any editorial or typographical suggestions in the revised version.","responses":[],"tokens_in":1163,"tokens_out":77,"duration_ms":11703,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The main thing to know is that this work proves a thermodynamic uncertainty relation that applies to hybrid normal-superconducting conductors. It holds for any real value of the superconducting gap and covers situations where quasiparticle and Andreev processes happen together.\n\nThey decompose the current and noise using the Anantram-Datta formalism into Andreev, quasiparticle, and interference contributions. Interference blocks a straightforward bound on the separate noise pieces, but the nonequilibrium excess noise can be expressed in a positive way. This representation lets them derive the hybrid quantum TUR.\n\nWhat is new is the extension from the pure Andreev case to this mixed regime. The positive representation step goes beyond a routine application and handles the coherence effects in fluctuations.\n\nThe paper does this cleanly in the abstract. It stays within standard scattering theory without obvious circular definitions.\n\nA soft spot is that the abstract only asserts the proof without showing steps, error checks, or examples. That leaves open whether the positive representation works without extra assumptions on the gap or the device. The full manuscript would need to include the derivation to allow verification.\n\nThis paper is for researchers in mesoscopic transport and nonequilibrium thermodynamics, especially those looking at superconducting hybrids. A reader focused on TURs in quantum systems would get direct value from the bound.\n\nIt shows clear thinking on the literature and the problem. I would bring it to a reading group on fluctuation relations. It is not something I would cite in my own work soon, but it merits serious referee time because the claim is specific and the approach seems solid.\n\nRecommendation: Send this to peer review.","headline":"The paper proves a hybrid TUR for NS conductors that holds at arbitrary gap with mixed Andreev-quasiparticle processes by representing excess noise positively.","tokens_in":2221,"tokens_out":407,"would_cite":false,"duration_ms":20165,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"A hybrid quantum thermodynamic uncertainty relation holds for normal-superconducting conductors with any real superconducting gap.","keywords":["thermodynamic uncertainty relation","hybrid normal-superconducting conductors","Andreev reflection","quasiparticle transport","nonequilibrium noise","superconducting gap","charge current fluctuations","entropy production"],"falsifier":"An observation that the nonequilibrium excess noise takes negative values for some superconducting gap value, or a direct violation of the uncertainty bound in a hybrid conductor with mixed processes.","tokens_in":2574,"feed_emoji":"","tokens_out":406,"duration_ms":25605,"temperature":0.7,"pith_summary":"The paper establishes a thermodynamic uncertainty relation that bounds current fluctuations by entropy production in hybrid normal-superconducting systems. It does so by decomposing transport into Andreev, quasiparticle, and interference terms using scattering theory. Although interference complicates additive bounds, the nonequilibrium excess noise can be given a positive representation. This representation enables the proof of the uncertainty relation without restricting the gap value. The result shows how superconducting coherence affects fluctuations while keeping a universal precision-dissipation link.","feed_headline":"Hybrid conductors obey thermodynamic uncertainty relation for any gap","feed_subtitle":"Positive excess noise representation extends the bound from pure Andreev to mixed quasiparticle regimes in N-S systems.","key_machinery":"The positive representation of the nonequilibrium excess noise derived from the decomposition of current and noise in the Anantram-Datta formalism.","core_discovery":"Using the Anantram-Datta scattering formalism, the charge current and zero-frequency noise are decomposed into Andreev, quasiparticle, and interference contributions. The nonequilibrium excess noise admits a positive representation independent of the superconducting gap. This positive representation proves a hybrid quantum thermodynamic uncertainty relation valid for arbitrary real gaps, extending the pure Andreev case to regimes where quasiparticle and Andreev processes coexist.","pith_inferences":[],"forward_implications":[],"fun_headline_variants":["Hybrid N-S conductors satisfy TUR for arbitrary gaps","Positive excess noise proves hybrid TUR in NS systems","Scattering formalism yields TUR for mixed quasiparticle regimes","Thermodynamic bound holds in hybrid conductors for any gap"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The Anantram-Datta scattering formalism allows decomposition of current and noise such that the nonequilibrium excess noise has a positive representation independent of the gap value.","fun_headline_variants_meta":{"raw":{"variants":["Hybrid N-S conductors satisfy TUR for arbitrary gaps","Positive excess noise proves hybrid TUR in NS systems","Scattering formalism yields TUR for mixed quasiparticle regimes","Thermodynamic bound holds in hybrid conductors for any gap"]},"model":"grok-4.3","cost_usd":0.003462,"raw_usage":{"total_tokens":1796,"prompt_tokens":607,"num_sources_used":0,"completion_tokens":61,"cost_in_usd_ticks":34624500,"prompt_tokens_details":{"text_tokens":607,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":1128,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":607,"tokens_out":61,"duration_ms":6019,"temperature":1.0,"reasoning_tokens":1128,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-26T13:15:04.291269+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"An observation that the nonequilibrium excess noise takes negative values for some superconducting gap value, or a direct violation of the uncertainty bound in a hybrid conductor with mixed processes.","supporting_citations":[],"review_version":1}