{"total":10,"items":[{"citing_arxiv_id":"2605.17550","ref_index":17,"ref_count":2,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Krylov Correlators in $\\mathfrak{sl}(2,\\mathbb R)$ Models: Exact Results and Holographic Complexity","primary_cat":"hep-th","submitted_at":"2026-05-17T17:21:31+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.16254","ref_index":16,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Fortuity and Complexity in a Simple Quark Model","primary_cat":"hep-th","submitted_at":"2026-05-15T17:58:25+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.07668","ref_index":27,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Bridging Krylov Complexity and Universal Analog Quantum Simulator","primary_cat":"quant-ph","submitted_at":"2026-05-08T12:39:43+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Generalized Krylov complexity predicts the minimum time to realize target operations in analog quantum simulators such as Rydberg atom arrays.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Watanabe, Distance between Quantum States and Gauge-Gravity Duality, Phys. Rev. Lett.115, 261602 (2015), arXiv:1507.07555 [hep-th]. [25] M. Miyaji, Butterflies from Information Metric, JHEP 09, 002, arXiv:1607.01467 [hep-th]. [26] A. Belin, A. Lewkowycz, and G. S' arosi, Complexity and the bulk volume, a new York time story, JHEP03, 044, arXiv:1811.03097 [hep-th]. [27] A. R. Brown and L. Susskind, Second law of quan- tum complexity, Phys. Rev. D97, 086015 (2018), arXiv:1701.01107 [hep-th]. [28] J. Haferkamp, P. Faist, N. B. T. Kothakonda, J. Eis- ert, and N. Y. Halpern, Linear growth of quan- tum circuit complexity, Nature Phys.18, 528 (2022), arXiv:2106.05305 [quant-ph]. [29] N.-C. Chiuet al., Continuous operation of a co-"},{"citing_arxiv_id":"2605.04210","ref_index":4,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The nonlocal magic of a holographic Schwinger pair","primary_cat":"hep-th","submitted_at":"2026-05-05T18:48:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Holographic Schwinger pair creation generates nonlocal magic for spacetime dimensions d>2, as shown by a non-flat entanglement spectrum that can be read from the probe brane free energy.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"and High-Energy Physics Phenomenology (2026), arXiv:2604.26376 [quant-ph]. [2] J. Haferkamp, P. Faist, N. B. T. Kothakonda, J. Eis- ert, and N. Y. Halpern, Linear growth of quan- tum circuit complexity, Nature Phys.18, 528 (2022), arXiv:2106.05305 [quant-ph]. [3] E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys.91, 025001 (2019), arXiv:1806.06107 [quant-ph]. [4] A. R. Brown and L. Susskind, Second law of quan- tum complexity, Phys. Rev. D97, 086015 (2018), arXiv:1701.01107 [hep-th]. [5] J. Eisert, M. Cramer, and M. B. Plenio, Area laws for the entanglement entropy - a review, Rev. Mod. Phys. 82, 277 (2010), arXiv:0808.3773 [quant-ph]. [6] L. Leone, S. F. E. Oliviero, and A. Hamma, Stabilizer R' enyi Entropy, Phys."},{"citing_arxiv_id":"2604.27054","ref_index":51,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"A Timelike Quantum Focusing Conjecture","primary_cat":"hep-th","submitted_at":"2026-04-29T18:00:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A timelike quantum focusing conjecture implies a complexity-based quantum strong energy condition and a complexity bound analogous to the covariant entropy bound for suitable codimension-0 field theory complexity measures.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Once the effective Hilbert space is finite dimensional and one works at fixed nonzero toleranceε, the set of distinguishable channels is compact up to anε-net, so the approx- imate complexity is bounded above by some finiteC max depending on the regulator, gate set, and tolerance [49, 50]. This means that 0≤C c(s)≤C max <∞(4.14) Following other examples in the literature [51, 52], we introduce an \"uncomplexity reservoir\" as the difference between the complexity and the maximum complexity u(s)≡C max −C c(s) (4.15) which is always positive. Since we have coarse grained, we do not track microscopic recurrences and only ask if the next increment of modular flow is taking the retained observables into a new channel class or into one already explored."},{"citing_arxiv_id":"2604.14275","ref_index":27,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Generalized Complexity Distances and Non-Invertible Symmetries","primary_cat":"hep-th","submitted_at":"2026-04-15T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Non-invertible symmetries define quantum gates with generalized complexity distances, and simple objects in symmetry categories turn out to be computationally complex in concrete 4D and 2D QFT examples.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Tapp, \"Quantum amplitude amplification and estimation,\"arXiv:quant-ph/0005055. [25] A. R. Brown, \"Polynomial Equivalence of Complexity Geometries,\"Quantum8(2024) 1391,arXiv:2205.04485 [quant-ph]. [26] A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle, and Y. Zhao, \"Holographic Complexity Equals Bulk Action?,\"Phys. Rev. Lett.116no. 19, (2016) 191301, arXiv:1509.07876 [hep-th]. [27] A. R. Brown and L. Susskind, \"Second law of quantum complexity,\"Phys. Rev. D97 no. 8, (2018) 086015,arXiv:1701.01107 [hep-th]. 35 [28] Bures, Donald, \"An Extension of Kakutani's Theorem on Infinite Product Measures to the Tensor Product of Semifiniteω ∗-Algebras,\"Transactions of the American Mathematical Society135(1969) 199. [29] N. Seiberg, S. Seifnashri, and S."},{"citing_arxiv_id":"2601.08825","ref_index":49,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"The Quantum Complexity of String Breaking in the Schwinger Model","primary_cat":"hep-ph","submitted_at":"2026-01-13T18:57:53+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Quantum complexity measures applied to the Schwinger model reveal nonlocal correlations along the string and show that entanglement and magic give complementary views of string formation and breaking.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Halpern, Linear growth of quantum circuit complexity, Nature Phys. 18, 528 (2022), arXiv:2106.05305 [quant-ph]. [47] E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys.91, 025001 (2019), arXiv:1806.06107 [quant-ph]. [48] A. R. Brown and L. Susskind, Second law of quantum complexity, Phys. Rev. D97, 086015 (2018), arXiv:1701.01107 [hep-th]. [49] J. Eisert, M. Cramer, and M. B. Plenio, Area laws for the entanglement entropy - a review, Rev. Mod. Phys.82, 277 (2010), arXiv:0808.3773 [quant-ph]. [50] L. Leone, S. F. E. Oliviero, and A. Hamma, Stabilizer Rényi Entropy, Phys. Rev. Lett. 128, 050402 (2022), arXiv:2106.12587 [quant-ph]. [51] C. Robin, M. J. Savage, and N. Pillet, Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations,"},{"citing_arxiv_id":"2510.20902","ref_index":24,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Searching for emergent spacetime in spin glasses","primary_cat":"hep-th","submitted_at":"2025-10-23T18:00:41+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk causal structure.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2507.23667","ref_index":31,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Universal Time Evolution of Holographic and Quantum Complexity","primary_cat":"hep-th","submitted_at":"2025-07-31T15:47:34+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Holographic complexity measures show universal linear growth followed by late-time saturation, proven necessary and sufficient via pole structures in the energy basis using the residue theorem, arising from random matrix statistics.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2507.06286","ref_index":84,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Krylov Complexity","primary_cat":"hep-th","submitted_at":"2025-07-08T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":2.0,"formal_verification":"none","one_line_summary":"Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.","context_count":1,"top_context_role":"background","top_context_polarity":"unclear","context_text":"ergy difference ω is their eigenvalue under L, and the total energy E is their eigenvalue under E. Operator matrix elements may be defined, in this discussion, as A(E, ω) := (E, ω|A) using the infinite-temperature inner product (79), with which the microcanonical inner prod- uct can be formally defined as an inner product inside an eigenspace of E: (A|B)E := Z 2E −2E dω ρ(E, ω)A∗(E, ω)B(E, ω) , (84) where no Z(E) normalization factor is needed because it is incorporated in the definition of the matrix ele- ments A(E, ω) through the inner product, and ρ(E, ω) stands for the density of states, which in the case of a discrete Liouvillian spectrum becomes ρ(E, ω) :=P i,j δ [E − (Ei + Ej)/2] δ(ω − ωij), where ωij are the Liouvillian eigenvalues introduced in (54) and the sum"}],"limit":50,"offset":0}