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Qubit-Adaptive Variational Quantum Imaginary Time Evolution: A Resource-Efficient Algorithm for Ground-State Preparation of Correlated Molecules on Near-Term Quantum Computers 量子位自适应变分量子虚时间演化:近期量子计算机上相关分子基态制备的资源高效算法
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-26 DOI: 10.1021/acs.jctc.6c01171
Thitiwuth Chaiyatho, Zhenyu Li, Jin-Shi Xu, Xiao-Ye Xu, Wiwittawin Sukmas

Preparing ground states of correlated molecules on near-termquantumcomputers requires algorithms that are both accurate and resource-efficient.We introduce the qubit-adaptive variational quantum imaginary timeevolution (QAITE) algorithm, which synthesizes the systematic convergenceof imaginary-time evolution with hardware-efficient, adaptive ansatzconstruction. By integrating the linear-scaling qubit operator poolinto the adaptive variational quantum imaginary time evolution framework,QAITE deterministically constructs a compact ansatz without costlyclassical optimization loops. Numerical simulations for molecularsystems (H4, LiH, H2O, BeH2), benchmarkedagainst our own implementations of established adaptive algorithmsunder identical conditions, show that QAITE achieves chemical accuracywith a 15–45% reduction in CNOT gates compared to the standardadaptive variational quantum imaginary time evolution (AVQITE) method.For hydrogen chains (RHH = 1.5 Å, N = 6–16 qubits), QAITE’s circuit complexitygrows approximately quadratically and remains the lowest of the fourmethods at every system size, reaching 31% fewer CNOT gates than AVQITEat 16 qubits─a saving of 1322 gates. This efficiency extendsto heterogeneous (LiH)n and (HBe)n chains, where QAITE maintains a CNOT gateratio below 1 for all sizes studied (e.g., 0.81 for (LiH)2). We further show that the deterministic parameter update is numericallyrobust: the results are insensitive to the regularization of the quantumgeometric tensor over at least 4 orders of magnitude, and chemicalaccuracy is retained under realistic shot noise applied to both thequantum geometric tensor and the force vector. By outperforming establishedadaptive algorithms in both absolute gate count and scaling, QAITEestablishes a promising, scalable pathway for quantum molecular simulationson noisy intermediate-scale quantum devices.

在近期量子计算机上制备相关分子的基态需要精确和资源高效的算法。提出了一种量子比特自适应变分量子虚时间进化算法(QAITE),该算法将虚时间进化的系统收敛性与硬件高效、自适应的分析结构相结合。通过将线性标度量子比特算子池集成到自适应变分量子虚时间演化框架中,QAITE确定性地构建了一个不含昂贵经典优化循环的紧凑解集。分子系统(H4, LiH, H2O, BeH2)的数值模拟,以我们自己在相同条件下建立的自适应算法为基准,表明与标准自适应变分量子虚时间进化(AVQITE)方法相比,QAITE实现了化学精度,CNOT门减少了15-45%。对于氢链(RHH = 1.5 Å, N = 6-16量子位),QAITE的电路复杂性大约以二次增长,并且在每种系统尺寸下仍然是四种方法中最低的,在16量子位时比AVQITE少31%的CNOT门,节省了1322个门。这种效率扩展到非均相(LiH)n和(HBe)n链,其中QAITE在研究的所有尺寸(例如,(LiH)2的0.81)中保持CNOT栅比低于1。我们进一步证明了确定性参数更新具有数值鲁棒性:结果对量子几何张量的正则化不敏感至少超过4个数量级,并且在量子几何张量和力矢量同时施加的真实射击噪声下保持化学精度。通过在绝对门数和缩放方面优于现有的自适应算法,QAITE为嘈杂的中等规模量子器件上的量子分子模拟建立了一个有前途的、可扩展的途径。
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引用次数: 0
State-Specific Analytical Nuclear Gradients for the Density-Fitted Exact Two-Component State-Averaged Complete Active Space Self-Consistent Field (X2C-SA-CASSCF) Theory 密度拟合精确双分量状态平均完全ActiveSpace自洽场(X2C-SA-CASSCF)理论的状态特定分析核梯度
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-25 DOI: 10.1021/acs.jctc.6c01549
Saemee Song, Jae Woo Park

When a chemical system of interest contains heavy elements,itis important to obtain a balanced description of relativistic effectsand electron correlation. The exact two-component (X2C) Hamiltonianincludes both scalar-relativistic and spin–orbit effects witha reasonable computational cost. By using the spin–orbit X2CHamiltonian in state-averaged complete active space self-consistentfield (SA-CASSCF) calculations, it is possible to obtain equivalentdescriptions of the states with different spin characters. For moleculargeometry optimizations within this framework, the nuclear gradientsshould be efficiently evaluated. In this work, we describe a state-specificanalytical gradient algorithm for X2C-SA-CASSCF theory with the density-fittingapproximation. To realize such calculations, we formulate and implementthe response (Z-vector) equation for X2C-SA-CASSCFtheory. Using the obtained state-specific nuclear gradients, we optimizethe equilibrium geometries of metal porphyrins and the singlet–singletand singlet–triplet minimum energy crossing points or minimumenergy conical intersections of 2-thiouracil.

当我们感兴趣的化学系统中含有重元素时,获得相对论效应和电子关联的平衡描述是很重要的。精确的双分量(X2C)哈密顿量包括标量相对论和自旋轨道效应,具有合理的计算成本。利用状态平均完全主动空间自洽场(SA-CASSCF)计算中的自旋轨道X2C哈密顿量,可以获得具有不同自旋特征的状态的等效描述。为了在此框架内进行分子几何优化,应该有效地评估核梯度。在这项工作中,我们用密度拟合近似描述了X2C-SA-CASSCF理论的状态特定分析梯度算法。为了实现这种计算,我们制定并实现了X2C-SA-CASSCF理论的响应(z向量)方程。利用得到的态特异性核梯度,我们优化了金属卟啉的平衡几何形状,以及2-硫脲嘧啶的单线态-单线态和单线态-三重态最小能量交叉点或最小能量圆锥交叉点。
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引用次数: 0
Improving ABFE Calculations for GPCRs by Addressing Errors in Apo-State Representation 通过寻址Apo-State表示中的错误改进gpcr的abfecn计算
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-28 DOI: 10.1021/acs.jctc.6c01161
Nithishwer Mouroug Anand, Antonia-Florina Panescu, Ronald M. A. Knegtel, Ewa I. Chudyk, Fabio Zuccotto, Philip C. Biggin

Free energy perturbation (FEP) methods provide a robustcomputationalframework for predicting protein-ligand binding affinities and haveseen increased adoption in drug discovery workflows. Among these,absolute binding free energy (ABFE) calculations are especially valuableas they enable affinity prediction for novel compounds without priorexperimental data. However, their broader adoption is limited by setupcomplexity, sampling challenges, and variable performance across systems.These challenges are particularly pronounced in therapeutically relevantcomplex membrane protein systems such as G protein-coupled receptors(GPCRs). This underscores the need to evaluate ABFE performance inGPCR systems and to develop strategies to mitigate these errors. Here,we evaluate ABFE calculations across three GPCR systems: the adenosineA2A receptor (A2AR), the dopamine D3 receptor(D3R), and the metabotropic glutamate receptor 5 (mGlu5). We focuson three sources of systematic error in these systems: (i) inadequateresolvation of the binding pocket in apo-like alchemical states, (ii)inconsistent treatment of metal ions, and (iii) insufficient samplingof receptor conformational transitions between holo-like and apo-likeensembles. To address these issues, we introduce two methodologicalimprovements: a biased grand-canonical-like water transport schemeto improve binding pocket resolvation, and a replica-exchange umbrellasampling (REUS)-based framework to quantify and correct the free energyassociated with receptor relaxation to apo-like conformations. Together,these approaches reduce the systematic overestimation of binding affinities,improving agreement with experimental data while maintaining rankingperformance. Overall, our results highlight the importance of accuratelyrepresenting the apo state in ABFE calculations and provide a practicalframework for applying high-accuracy free energy methods to membraneprotein targets.

摘要:自由能摄动(FEP)方法为预测蛋白质与配体的结合亲和力提供了一个强大的计算框架,并且在药物发现工作流程中得到了越来越多的采用。其中,绝对结合自由能(ABFE)的计算尤其有价值,因为它们可以在没有事先实验数据的情况下预测新化合物的亲和力。然而,它们的广泛采用受到设置复杂性、采样挑战和跨系统可变性能的限制。这些挑战在治疗相关的复杂膜蛋白系统中尤其明显,如G蛋白偶联受体(gpcr)。这强调了评估GPCR系统中ABFE性能和制定策略以减轻这些错误的必要性。在这里,我们评估了三种GPCR系统的ABFE计算:腺苷A2A受体(A2AR),多巴胺D3受体(D3R)和代谢性谷氨酸受体5 (mGlu5)。我们重点研究了这些系统中系统误差的三个来源:(i)对载脂蛋白样炼金术状态下结合口袋的解析不足,(ii)金属离子处理不一致,以及(iii)对全息和载脂蛋白样集合之间受体构象转变的采样不足。为了解决这些问题,我们引入了两种方法上的改进:一种是有偏的大经典样水输运方案,以提高结合袋分辨率;另一种是基于复制交换伞采样(REUS)的框架,用于量化和校正与受体弛豫到载子样构象相关的自由能。总之,这些方法减少了对绑定亲和力的系统高估,在保持排序性能的同时提高了与实验数据的一致性。总之,我们的研究结果强调了在ABFE计算中准确表示载脂蛋白状态的重要性,并为将高精度自由能方法应用于膜蛋白靶标提供了一个实用的框架。
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引用次数: 0
Clifford Disentanglers for Entanglement Reduction in Molecular Electronic Structure Simulations 分子电子结构模拟中纠缠还原的Clifford解纠缠剂
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-10-02 DOI: 10.1021/acs.jctc.6c01170
Longfei Chang, Zibo Wu, Yunzhi Li, Haiqi Liu, Jiajun Ren, Mingpu Qin, Zhendong Li, Wei-Hai Fang

Entanglementis a key bottleneck limiting the efficiency of tensor-networkand quantum simulations of molecular electronic structure. Here, wesystematically assess and extend Clifford disentanglers as a structure-preservingapproach to entanglement reduction: they can modify the entanglementstructure of qubit wave functions while retaining the Pauli-stringform of qubit Hamiltonians. To enable a practical search over Cliffordtransformations, we classify Clifford operators by their action onthe Schmidt spectrum across a bipartition, reducing the two- and four-qubitsearch spaces to 20 and 91392 representatives, respectively. Embeddedin an iterative Clifford-augmented matrix product state framework,these transformations reduce the energy errors at fixed bond dimensionfor the molecular test cases studied and mitigate the dependence onorbital ordering and Fermion-to-qubit mappings. We further show thatClifford disentanglers can also benefit quantum simulations such asshallow-circuit variational quantum eigensolver calculations. Together,these results establish Clifford disentanglers as a useful structure-preservingentanglement-engineering tool for tensor-network and quantum simulationsof molecular electronic structure, while also clarifying their dependenceon correlation and motivating future developments.

摘要纠缠是制约张量网络和分子电子结构量子模拟效率的关键瓶颈。在这里,我们系统地评估和扩展了Clifford解纠缠子作为一种保持纠缠减少结构的方法:它们可以在保留量子比特哈密顿量的泡利弦形式的同时修改量子比特波函数的纠缠结构。为了实现对Clifford变换的实际搜索,我们根据Clifford算子在施密特谱上的作用对它们进行了分类,将两个和四个量子比特的搜索空间分别减少到20和91392个代表。这些转换嵌入在迭代的Clifford-augmented matrix product state框架中,减少了所研究的分子测试用例在固定键维上的能量误差,并减轻了对轨道有序和费米子-量子比特映射的依赖。我们进一步表明,Clifford解纠缠子也有利于量子模拟,如浅回路变分量子特征求解器计算。总之,这些结果确立了Clifford解纠缠子作为一种有用的结构保留纠缠工程工具,用于张量网络和分子电子结构的量子模拟,同时也阐明了它们对相关性的依赖,并推动了未来的发展。
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引用次数: 0
Dynamic Response Functions for Cavity Quantum ElectrodynamicsHartree–Fock Theory 腔量子电动力学shartree - fock理论的动态响应函数
IF 5.5 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 DOI: 10.1021/acs.jctc.6c01264
Stephen H. Yuwono,Katie A. Crouch,A. Eugene DePrince
Abstract Frequency-dependent linear and quadratic response functions are implemented for a cavity quantum electrodynamics (QED) generalization of Hartree–Fock (HF) theory. Dynamic electric dipole polarizability, optical rectification hyperpolarizability, and second harmonic generation hyperpolarizability tensors are evaluated for molecules strongly coupled to a single-mode optical cavity, and the results are benchmarked against the same tensors obtained from real-time time-dependent QED-HF simulations. Substantial cavity-induced changes to the frequency-dependent properties are observed for certain perturbing frequencies at large electron–photon coupling strengths. We also find special perturbing frequencies at which there is no cavity effect, regardless of the coupling strength.
摘要针对Hartree-Fock (HF)理论的空腔量子电动力学(QED)推广,实现了频率相关的线性和二次响应函数。对与单模光学腔强耦合的分子的动态电偶极子极化率、光学整流超极化率和二次谐波产生的超极化率张量进行了评估,并将结果与实时时变QED-HF模拟得到的张量进行了基准测试。在较大的电子-光子耦合强度下,对某些扰动频率,观察到腔诱导的频率相关特性的实质性变化。我们还发现,在特定的扰动频率下,无论耦合强度如何,都没有空腔效应。
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引用次数: 0
Pathway-Dependent Energetics of SLC15A4–TASL Engagement: Single-Protomer Switching and Dimer-Interface Remodeling SLC15A4-TASL接合的途径依赖的能量学:单原聚体转换和二聚体界面重塑
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-12 DOI: 10.1021/acs.jctc.6c01438
Xiaoyu Zhao, Danyang Xiong, Feng Gao, Xiao He

Membrane-embedded signalosome assembly is co-gated byconformationalselection, oligomeric interfaces, and the lipid microenvironment,yet short-lived, tightly coupled intermediate states are hard to inferfrom static structures. SLC15A4 recruits TASL to support IRF5 signaling,but available structures largely capture distinct conformational endpoints,leaving assembly bottlenecks, interface/lipid coupling, and inhibitorinterception without a quantitative energetic rationale. Here, wedeveloped a computational energetic framework connecting the restingapo dimer to a TASL-permissive state. In the apo state, SLC15A4 maintaineda persistent dimeric arrangement organized around a TM9/TM12-centeredinterfacial scaffold, while the interfacial cholesterol moleculesmaintained persistent contacts with the interface; luminal hydrophobicpacking and a multivalent hydrogen-bond network around N428 were associatedwith interface persistence, while the dimer retained characteristiccoupled motions of MFS helical bundles. Along the prescribed insertionpathway, TASL exhibited a pronounced apparent free-energy rise nearthe pocket, accompanied by rapid contact formation and a single-protomerswitch from luminal-open to cytosolic-open, yielding a modeled asymmetricintermediate with altered cross-protomer interface geometry. TASLwas stabilized by directional anchoring at a few key cationic sites.Pathway-dependent free-energy profiles further indicated that TASLengagement relaxed luminal-side interfacial stabilization and loweredthe free-energy cost of inter-subunit separation without compromisingpocket binding, potentially contributing to the formation of a signaling-competentSLC15A4–TASL module. Finally, our results suggest that an inhibitorlimits access to the TASL-permissive state by locking the luminal-openconformation and occupying the central cavity, increasing the free-energycost along the prescribed TASL entry and reshaping electrostatic determinants.Together, these results connect experimentally resolved structuralstates through a computational energetic framework in which TASL-associatedsingle-protomer switching may couple to luminal interface weakeningand reduced interface persistence, motivating therapeutic strategiestargeting the SLC15A4–TASL–IRF5 axis via conformationallocking and competitive cavity occupation.

嵌入膜的信号小体组装是由构象选择、寡聚界面和脂质微环境共同控制的,然而从静态结构中很难推断出短暂的、紧密耦合的中间状态。SLC15A4招募TASL来支持IRF5信号,但现有的结构主要捕获不同的构象端点,留下组装瓶颈、界面/脂质偶联和抑制剂拦截,没有定量的能量原理。在这里,我们开发了一个计算能量框架,将静息载脂蛋白二聚体连接到tasl允许状态。在载脂蛋白状态下,SLC15A4在以TM9/ tm12为中心的界面支架周围保持持久的二聚体排列,而界面胆固醇分子与界面保持持久的接触;N428周围的管腔疏水堆积和多价氢键网络与界面持久性有关,而二聚体保留了MFS螺旋束的耦合运动特征。沿着规定的插入途径,TASL在口袋附近表现出明显的自由能上升,伴随着快速的接触形成和单原聚体从光开到细胞质开的转换,产生了一个模拟的不对称中间体,改变了交叉原聚体界面的几何形状。通过在几个关键阳离子位点进行定向锚定来稳定TASL。通路依赖的自由能谱进一步表明,TASL参与可以放松光侧界面稳定性,降低亚基间分离的自由能成本,而不影响口袋结合,这可能有助于形成具有信号能力的SLC15A4-TASL模块。最后,我们的研究结果表明,抑制剂通过锁定光开放构象和占据中心腔,增加沿规定的TASL入口的自由能成本和重塑静电决定因素来限制进入TASL允许状态。总之,这些结果通过计算能量框架将实验解决的结构状态联系起来,其中tasl相关的单原聚体开关可能与腔内界面减弱和界面持久性降低耦合,通过构象锁定和竞争性腔占据激发针对SLC15A4-TASL-IRF5轴的治疗策略。
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引用次数: 0
The Potential Energy Landscape Formalism for Quantum Liquids in the Continuous Ring-Polymer Limit 连续环-聚合物极限下量子液体的势能景观形式
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-17 DOI: 10.1021/acs.jctc.6c01077
Yang Zhou, Gustavo E. Lopez, Nicolas Giovambattista

The potential energy landscape (PEL) formalism is a powerfultoolwithin statistical mechanics to study the thermodynamic behavior ofclassical and quantum liquids as well as non-annealing glasses. Inthe quantum case, this theoretical framework is based on the path-integralformulation of statistical mechanics where the liquid/non-annealingglass is mapped onto a classical system of ring-polymers. In previousstudies, and motivated by path-integral (PI) computer simulations,the PEL formalism was developed assuming that the ring-polymers werediscrete, i.e., each ring-polymer was composed of a finite numberof beads, nb. In thiswork, we revisit the PEL formalism for the case where the ring-polymersof the system are continuous, i.e., nb → ∞ (as required in the PI formulationof statistical mechanics). We find that in this limit, the PEL ofthe quantum liquid is unique and well-defined. The main PEL propertiesof the system, including the average inherent structure energy EIS, configurational entropy SIS, and vibrational Helmholtzfree energy Fvib, arealso well-defined (i.e., they converge). Notably, in the harmonicapproximation of the PEL, Fvib can be expressed analytically; it is identical to the freeenergy of a multidimensional quantum harmonic oscillator with thecorresponding frequencies given by the normal mode frequencies ofthe classical liquid counterpart (accessible from classical computersimulations). When applied to non-annealing glasses and crystals,this new version of the PEL formalism reduces to the so-called quasi-harmonic approximation, commonly used in the studyof solids. Overall, the PEL formalism for nb → ∞ provides an alternative approachto its previous version (finite nb); it is also more elegant and intuitive, and simpler to apply.For a Gaussian and harmonic PEL, this formalism (nb → ∞) allows one to obtainthe Helmholtz free energy of the quantum liquid using classical computersimulations, avoiding the more expensive PI computer simulations.

在统计力学中,势能景观(PEL)形式论是研究经典和量子液体以及非退火玻璃热力学行为的有力工具。在量子情况下,这个理论框架是基于统计力学的路径积分公式,其中液体/非退火玻璃被映射到一个经典的环形聚合物系统。在之前的研究中,受到路径积分(PI)计算机模拟的启发,假设环状聚合物是离散的,即每个环状聚合物由有限数量的珠子组成,nb。在这项工作中,我们重新审视了系统的环状聚合物是连续的情况下的PEL形式,即nb→∞(如统计力学的PI公式所要求的)。我们发现,在这个极限下,量子液体的PEL是唯一且定义明确的。系统的主要PEL性质,包括平均固有结构能EIS、构型熵SIS和振动亥姆霍兹自由能Fvib,也被定义良好(即它们收敛)。值得注意的是,在PEL的谐波近似中,Fvib可以解析表示;它与多维量子谐振子的自由能相同,其相应频率由经典液体对应物的正模频率给出(可从经典计算机模拟中获得)。当应用于非退火玻璃和晶体时,这种新版本的PEL形式简化为所谓的准谐波近似,通常用于固体的研究。总的来说,nb→∞的PEL形式提供了一种替代其先前版本(有限nb)的方法;它也更优雅和直观,更易于应用。对于高斯和谐波PEL,这种形式(nb→∞)允许人们使用经典的计算机模拟获得量子液体的亥姆霍兹自由能,避免了更昂贵的PI计算机模拟。
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引用次数: 0
Correction to “Measuring Differences in Protein Allosteric Graphs Constructed via Molecular Dynamics Simulations” 修正“用分子动力学模拟方法测量蛋白质变构图的差异”
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-17 DOI: 10.1021/acs.jctc.6c01745
Jiale Shi, Zhongyi Wan, Renjie Zhu, Qiang Cui
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引用次数: 0
ML26: New Ingredients for an Integral-Features Density Functional with Broad Chemical Accuracy ML26:新成分的整体特征密度功能与广泛的化学精度
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-22 DOI: 10.1021/acs.jctc.6c01681
Dayou Zhang, Yinan Shu, Benjamin G. Janesko, Donald G. Truhlar

Integral-features density functional theory (IF-DFT)replaces theconventional integration over local ingredients with a nonlinear mappingfrom global integral descriptors, enabling machine-learned densityfunctionals with broad transferability. Here we report ML26@MN15,a new IF functional that extends the earlier ML25@MN15 model by incorporating12 additional correlation features─including overlap-projectedrung-3.5 terms, CS1 dynamic-correlation ingredients, and VV10 nonlocalcorrelation─and by treating Hartree–Fock exchange asan integral feature rather than as a fixed hybrid percentage. ML26@MN15employs 79 integral features evaluated on MN15 ingredients and a single-hidden-layerneural network with 5000 nodes to produce a size-extensive exchange–correlationenergy. Trained on 185 databases comprising 7242 reference data, ML26@MN15achieves a data-averaged energetic mean unsigned error of 0.89 kcal/mol,improving upon ML25@MN15 by 15% and outperforming a group of previousleading functionals across all eight chemical partitions examined.For the widely used MDB2019S, MGCDB84, and GMTKN55 data sets, ML26@MN15yields the lowest averaged errors among all tested functionals, includingthe results for GMTKN55 by ML-based Skala-1.1 and DM21 density functionalapproximations. The new functional also maintains strong performancefor systems containing heavy elements and exhibits improved behavioron a challenging self-interaction benchmark. These results show thatexpanding the integral-feature space with physically motivated nonlocalingredients yields a density functional with unprecedented accuracyacross diverse chemical benchmarks. The broad and consistent accuracyof ML26@MN15 highlights the promise of integral-features density functionalapproximations as a scalable framework for incorporating additionalnonlocal physics into future functional development.

摘要积分特征密度泛函理论(IF-DFT)用全局积分描述符的非线性映射取代了传统的局部成分上的积分,使机器学习的密度泛函具有广泛的可转移性。本文报告了ML26@MN15,这是一个新的中频函数,它扩展了先前的ML25@MN15模型,纳入了12个额外的相关特征──包括重叠投影的runt -3.5项、CS1动态相关成分和VV10非局部相关──并将Hartree-Fock交换视为一个整体特征,而不是一个固定的混合百分比。ML26@MN15采用了79个对MN15成分进行评估的积分特征和5000个节点的单隐藏层神经网络来产生广泛的交换相关能。在包含7242个参考数据的185个数据库上进行训练,ML26@MN15实现了0.89 kcal/mol的数据平均能量平均无符号误差,比ML25@MN15提高了15%,并且在所有八个化学分区中优于之前的一组领先功能。对于广泛使用的MDB2019S、MGCDB84和GMTKN55数据集,ML26@MN15在所有测试函数中产生的平均误差最低,包括基于ml的Skala-1.1和DM21密度泛函近似对GMTKN55的结果。新功能还可以在包含重元素的系统中保持强大的性能,并在具有挑战性的自交互基准上表现出改进的行为。这些结果表明,用物理驱动的非局部成分扩展积分特征空间,可以在不同的化学基准中产生前所未有的精度密度泛函。ML26@MN15的广泛和一致的准确性突出了积分特征密度泛函近似作为将额外的非局部物理纳入未来功能开发的可扩展框架的希望。
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引用次数: 0
Spin-Consistency Constraints in Noncollinear Tensor TDA 非线性张sortda中的自旋一致性约束
IF 5.8 1区 化学 Q2 CHEMISTRY, PHYSICAL Pub Date : 2026-10-13 Epub Date: 2026-09-25 DOI: 10.1021/acs.jctc.6c01470
Wenxian Qin, Tai Wang, Yue Yu, Yuanyang Liu, Yi Qin Gao, Yunlong Xiao

TDDFT for open-shell systems, whether spin-conservingor spin-flip,has long suffered from spin contamination. This problem arises becausethe single-excitation space built upon a single Kohn–Sham determinantis not spin-complete. Adopting spin tensor reference states thereforeoffers an elegant and promising route to resolving this issue. Inthis work, we revisit the tensor TDDFT equations within the Tamm–Dancoffapproximation (TDA) from a noncollinear perspective. We show that,for S = 1/2 reference states, the internal consistencyof the spin tensor formulation can, with the aid of the zero-excitation-energytheorem, be recast as a set of constraints that the exchange–correlationkernel must satisfy. Standard noncollinear functionals, however, generallyfail to meet these constraints. To address this, we propose a kernelreconstruction scheme that is independent of the specific functionalform and free of empirical parameters. This scheme enforces the requiredconstraints, restoring internal consistency in the full spin tensorstructure, with spin adaptation following as a natural consequence.Furthermore, when extended to tensor reference states with other valuesof S, such as S = 1 for the oxygen molecule, the scheme eliminatesthe so-called artifact states, namely solutions with severely underestimatedexcitation energies. In addition, the scheme allows the target statesthat ROKS reference states aim to describe to be expressed and computed,at the TDA level, within the same unified framework as other states,a capability that spin-adapted spin-conserving TDDFT has so far lacked.

摘要开壳体系的TDDFT无论是自旋守恒还是自旋翻转,长期以来都存在自旋污染问题。这个问题的产生是因为建立在单一Kohn-Sham行列式上的单激发空间不是自旋完全的。因此,采用自旋张量参考态为解决这一问题提供了一种优雅而有希望的途径。在这项工作中,我们从非共线的角度重新审视了tam - dancoff近似(TDA)中的张量TDDFT方程。我们证明了,对于S = 1/2参考态,自旋张量公式的内部一致性可以借助零激发能量定理,重铸为交换相关核必须满足的一组约束。然而,标准的非线性泛函通常不能满足这些约束条件。为了解决这个问题,我们提出了一个独立于特定函数形式和自由经验参数的核重构方案。该方案加强了所需的约束,恢复了全自旋张量结构的内部一致性,自旋自适应是一个自然的结果。此外,当扩展到具有其他S值的张量参考状态时,例如氧分子的S = 1,该方案消除了所谓的伪态,即严重低估激发能的解。此外,该方案允许在与其他状态相同的统一框架内,在TDA级别表达和计算ROKS参考状态旨在描述的目标状态,这是自旋适应自旋守恒TDDFT迄今所缺乏的能力。
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Journal of Chemical Theory and Computation
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