{"total":23,"items":[{"citing_arxiv_id":"2605.29923","ref_index":47,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Black Hole Photon Rings Saturate the Quantum Chaos Bound","primary_cat":"hep-th","submitted_at":"2026-05-28T13:34:39+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Photon rings around black holes saturate the quantum chaos bound via Lyapunov exponents of null geodesics and OTOCs in the near-ring region.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.28681","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Krylov complexity has it all","primary_cat":"hep-th","submitted_at":"2026-05-27T16:13:52+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Krylov complexity is equivalent to Lanczos coefficients, return amplitude, and spectral density for operator dynamics, via an explicit recursive algorithm from its t=0 Taylor expansion.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.25178","ref_index":64,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity","primary_cat":"hep-th","submitted_at":"2026-05-24T17:19:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.17550","ref_index":3,"ref_count":2,"confidence":0.9,"is_internal_anchor":false,"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":"2605.16507","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Krylov complexity from a simple quantum mechanical model for a radiating black hole","primary_cat":"hep-th","submitted_at":"2026-05-15T18:03:06+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A simplified mini-BMN matrix model for a radiating black hole exhibits early-time chaotic growth of Krylov complexity followed by late-time saturation to a plateau consistent with equilibration.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.13956","ref_index":59,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"q-Askey Deformations of Double-Scaled SYK","primary_cat":"hep-th","submitted_at":"2026-05-13T18:00:01+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"We then investigate the bulk interpretation of these microscopic Hamiltonians in two ways. Both rely on the semiclassical limit of the theory, where the combinationqn is fixed,nbeing the chord number. On the one hand, one can build an ordered basis, called the Krylov basis, which minimises the cost function of a given evolving state, known as Krylov complexity [59, 60] (see recent reviews by [61-63]).3 This has found multiple applications in the literature, and it has been argued to be a concrete measure of quantum chaos (see [60, 65-68] among others). Recent developments show that Krylov complexity of the Hartle-Hawking (HH) state in the DSSYK model and some of its deformations can be precisely matched to the geodesic length between"},{"citing_arxiv_id":"2605.07668","ref_index":67,"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":"method","top_context_polarity":"use_method","context_text":"is known as thedynamical Lie algebra[59-66]. Universal- ity is achieved when this algebra spans the entire operator space (except for the identity operator). Generalized Krylov complexity.-Motivated by discus- sions in the introduction, we turn to a generalized Krylov basis construction to quantify the complexity of exploring this algebraic space. In the traditional framework [67], an operator ˆO= P ij Oij|i⟩⟨j|is mapped to a state in the doubled Hilbert space, denoted by| ˆO⟩= P ij Oij|i⟩⊗|j⟩. The Liouvillian superoperator is defined by its action ˆL| ˆX⟩=|[ ˆH, ˆX]⟩. The Krylov basis is then constructed by repeatedly applying the Liouvillian to an initial opera- tor, and the Krylov complexity is defined to characterize the depth of this Krylov space exploration [67-95]."},{"citing_arxiv_id":"2605.02446","ref_index":17,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Quantum scars from holographic boson stars","primary_cat":"hep-th","submitted_at":"2026-05-04T10:46:19+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"tions for Kerr-AdS Perturbations,JHEP10(2013), 156 [arXiv:1302.1580]. [15] S. Ryu and T. Takayanagi,Holographic derivation of en- tanglement entropy from AdS/CFT,Phys. Rev. Lett.96, 181602 (2006) [arXiv:hep-th/0603001]. [16] D. Liska, V. Gritsev, W. Vleeshouwers and J. Min' aˇ r, Holographic quantum scars,SciPost Phys.15(2023) no.3, 106 [arXiv:2212.05962]. [17] D. E. Parker, X. Cao, A. Avdoshkin, T. Scaffidi and E. Altman,A Universal Operator Growth Hypothesis, Phys. Rev. X9, no.4, 041017 (2019) [arXiv:1812.08657]. [18] E. Rabinovici, A. S' anchez-Garrido, R. Shir and J. Son- ner,Krylov Complexity,[arXiv:2507.06286]. [19] S. Baiguera, V. Balasubramanian, P. Caputa, S. Chap- man, J. Haferkamp, M. P. Heller and N."},{"citing_arxiv_id":"2604.20619","ref_index":9,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems","primary_cat":"hep-th","submitted_at":"2026-04-22T14:33:49+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"In open quantum systems, environmental coupling turns deterministic Krylov phase-space trajectories into stochastic ones by adding diffusion, destroying the hyperbolic mechanism for exponential complexity growth beyond a controlled scale.","context_count":1,"top_context_role":"background","top_context_polarity":"support","context_text":"and measures the average distance an operator has propagated in this Krylov space. This quantity captures operator growth in a coarse-grained but physically transparent way and has been shown to exhibit universal features across a wide range of systems, including exponential growth associated with chaotic dynamics and slower growth in integrable or constrained systems [9, 11, 15] 1. A key recent conceptual advance is that Krylov dynamics admits a natural reformula- tion in terms of a real-time Schwinger-Keldysh path integral. In this approach, Krylov complexity is treated as an in-in observable generated by the full counting statistics Z(χ, t) =⟨e iχˆn(t)⟩, which plays the role of a dynamical generating functional."},{"citing_arxiv_id":"2604.07432","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Holographic Krylov Complexity for Charged, Composite and Extended Probes","primary_cat":"hep-th","submitted_at":"2026-04-08T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Holographic Krylov complexity for charged composite and extended probes retains universal leading large-time growth but acquires structure-dependent subleading corrections.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"precisely that the basis is not imposed externally, but is instead fixed by the Hamiltonian and by the operator under consideration. In this sense, Krylov complexity provides a canonical notion of spreading, well suited to questions about scrambling, universality and the detailed operator-dependence of quantum evolution [1-9]. - 1 - The modern development of the subject was strongly shaped by the operator-growth perspective of [1], who proposed that in generic many-body systems the Lanczos coeffi- cients display an asymptotically linear growth. This viewpoint connected the structure of the Krylov chain to universal properties of chaotic dynamics and stimulated a rapidly expanding literature on late-time growth, bounds, integrability, quantum field theory and geometric formulations of Krylov space [1-6, 10-12]."},{"citing_arxiv_id":"2603.29443","ref_index":65,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons","primary_cat":"hep-th","submitted_at":"2026-03-31T08:48:53+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Brick-wall spectra in de Sitter space show long-range chaotic signatures via spectral form factor and Krylov complexity even when conventional level repulsion is absent.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Krylov complexity.Beyond traditional probes, Krylov complexity (KC) has emerged as a modern diagnostic of quantum chaos [61, 62]. It effectively captures the transition from integrability to chaos in a manner consistent with standard spectral diagnostics [63, 64]. While originally developed to characterize operator growth in the Heisenberg picture [65], the framework has been extended to the Schr¨ odinger picture to quantify the spread of states within the Krylov subspace [61]. In this manuscript, we focus specifically on the Krylov complexity of states. Comprehensive overviews of Krylov complexity in diverse physical contexts, including both operator and state perspectives, are provided in [66-68]."},{"citing_arxiv_id":"2603.19359","ref_index":25,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas","primary_cat":"hep-th","submitted_at":"2026-03-19T18:00:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2603.10106","ref_index":5,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Complexity and Operator Growth in Holographic 6d SCFTs","primary_cat":"hep-th","submitted_at":"2026-03-10T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In holographic 6d N=(1,0) SCFTs, generalized proper momentum of infalling particles grows linearly at late times, with early dynamics modified by SU(2)_R charge and quiver spreading.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2602.18377","ref_index":84,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Theory and interpretability of Quantum Extreme Learning Machines: a Pauli-transfer matrix approach","primary_cat":"quant-ph","submitted_at":"2026-02-20T17:33:27+00:00","verdict":"UNVERDICTED","verdict_confidence":"MODERATE","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A Pauli-transfer-matrix analysis of QELMs reveals the full set of nonlinear Pauli features generated by encoding and transformed by quantum channels, producing an interpretable classical nonlinear vector autoregression model that approximates flow maps in dynamical systems.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"correlations or noise floor (see Appendix C for further discussion). Both score and weights preserve tensor product structure of the general PTMR: ifR=⊗ n i=1Ri thenγ 2 r =Qn i=1 γ2 r,i andw=⊗ n i=1wi. ForR=SV(t), one obtainsγ 2 r =P k∈S V(t) 2 kr, showing that featureris decodable only to the extent that the \"spread\" of that Pauli underV(t) lands in the measured subsetS.[84] Specifically, for Haar-random unitaries, late-time decodability decays exponentially with qubit numbern[see Eq. (4.15)], γ2 r t→∞ ∼ |S|4 −n.(4.20) Noisy channels can have invertible PTMs [see Section D 2] and then do not strictly reduce the accessible feature subspace. If they are contracting, they effectively suppress high-weight Pauli features [see Eq."},{"citing_arxiv_id":"2602.11627","ref_index":6,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography","primary_cat":"hep-th","submitted_at":"2026-02-12T06:23:37+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"In the continuum limit the discrete Krylov chain becomes a Klein-Gordon field in AdS2, with Lanczos growth rate α identified as πT, recovering the maximal chaos bound and requiring the Breitenlohner-Freedman bound for consistency.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2602.06113","ref_index":86,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography","primary_cat":"hep-th","submitted_at":"2026-02-05T19:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-energy spectrum.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"1Also referred to as 1D TT deformations in the lower-dimensional case in [32, 33]. - 1 - AdS/CFT, which might carry some relevant lessons in higher dimensional holography. Key insights to understand the DSSYK model and its bulk dual include the double-scaled [58- 60] and chord [61] von Neumann algebras; the quantum group structure [62-67]; Krylov complexity [59, 68-85] for operators [86] and states [87] (see recent reviews in [88-90]);2 algebraic entanglement entropy [98, 99].3 However, there has been active debate about the specific bulk dual to the DSSYK model. The most-discussed bulk dual proposals include sine dilaton gravity [66, 92, 94, 109-114], and de Sitter (dS) space through different approaches, including Schwarzschild-dS3 space [81, 95, 96, 112, 115-117], and dS2 space as a s-wave"},{"citing_arxiv_id":"2601.09801","ref_index":7,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Probing the Chaos to Integrability Transition in Double-Scaled SYK","primary_cat":"hep-th","submitted_at":"2026-01-14T19:08:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-integrable (quadratic) growth.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"of quantum chaos behave across such transitions. There has been considerable interest in exploring various measures of quantum chaos including early-time measures such as out-of- time-ordered correlators (OTOCs)[1, 2], and late-time measures such as the spectral form factor [3]; level spacing spectral statistics [4-6]; Krylov complexity for operators [7] and states [8, 9]; see [10-12] for reviews. In particular, several works have found that Krylov complexity is a useful measure to characterize systems transitioning between chaotic and integrable properties [13-20]. In this work we consider the model of Berkooz, Brukner, Jia and Mamroud (BBJM) [21, 22] as a concrete framework to study a phase transition between integrable and chaotic"},{"citing_arxiv_id":"2511.03779","ref_index":109,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity","primary_cat":"hep-th","submitted_at":"2025-11-05T19:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Speranza,Does Complexity Equal Anything?,Phys. Rev. Lett.128(2022) 081602 [2111.02429]. [107] A. Belin, R.C. Myers, S.-M. Ruan, G. Sárosi and A.J. Speranza,Complexity equals anything II,JHEP01(2023) 154 [2210.09647]. [108] V. Balasubramanian, P. Caputa, J.M. Magan and Q. Wu,Quantum chaos and the complexity of spread of states,Phys. Rev. D106(2022) 046007 [2202.06957]. [109] D.E. Parker, X. Cao, A. Avdoshkin, T. Scaffidi and E. Altman,A Universal Operator Growth Hypothesis,Phys. Rev. X9(2019) 041017 [1812.08657]. [110] P. Nandy, A.S. Matsoukas-Roubeas, P. Martínez-Azcona, A. Dymarsky and A. del Campo, Quantum Dynamics in Krylov Space: Methods and Applications,2405.09628. - 49 - [111] E. Rabinovici, A. Sánchez-Garrido, R."},{"citing_arxiv_id":"2510.22658","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Toward Krylov-based holography in double-scaled SYK","primary_cat":"hep-th","submitted_at":"2025-10-26T12:40:14+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-geometry von Neumann entropy after tracing baby universes.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2510.20902","ref_index":23,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"2509.14810","ref_index":47,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Krylov Complexity for Open Quantum System: Dissipation and Decoherence","primary_cat":"hep-th","submitted_at":"2025-09-18T10:12:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Krylov complexity saturates in the full high-temperature Caldeira-Leggett system, reproduces dissipative features when decoherence is suppressed, shows oscillations when dissipation is suppressed, and remains insensitive to decoherence onset because the Krylov basis differs from the conventional one","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2509.04075","ref_index":12,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Complexity of Quadratic Quantum Chaos","primary_cat":"hep-th","submitted_at":"2025-09-04T10:09:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Hard-core boson two-body models with random interactions exhibit chaotic spectral statistics, operator growth, and eigenstate properties approaching those of random matrices and the SYK model.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2412.08925","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry","primary_cat":"hep-th","submitted_at":"2024-12-12T04:23:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Krylov complexity equals Fubini-Study volume for closed and open two-mode squeezed states, providing analytic support for the generalized CV conjecture via information geometry.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}