Advanced quantum technologies最新文献

Retrieving Bright-State Emission From Fast Blinking Quantum Emitters 从快速闪烁量子发射体中提取亮态发射

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-14 DOI: 10.1002/qute.70467

Corné Koks, Alexander Huck, Martijn Wubs, Nicolas Stenger

{"title":"Retrieving Bright-State Emission From Fast Blinking Quantum Emitters","authors":"Corné Koks, Alexander Huck, Martijn Wubs, Nicolas Stenger","doi":"10.1002/qute.70467","DOIUrl":"https://doi.org/10.1002/qute.70467","url":null,"abstract":"To unfold their ultimate performance, a large number of photonics-based quantum technologies require reliable emitters of single photons. Emission intensity fluctuations in these single-photon emitters occur over a broad range of timescales from nanoseconds to more than several milliseconds, depending on the emitter, posing significant challenges for their future applicability. This paper focuses on quantum emitters with intensity fluctuations that occur at a rate comparable to the detection rate of the emitted light. In this regime, there is approximately one photon per bright period. Our method enables the determination of the bright-state intensity, which is otherwise unobservable through a direct time-domain measurement. This method is validated through simulations in various scenarios, and an analytical model is derived. We apply the method to measurements of both quantum emitters in hexagonal boron nitride and of <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>NV</mi>\u0000 <mo>−</mo>\u0000 </msup>\u0000 <annotation>${rm NV}^-$</annotation>\u0000 </semantics></math> centers in diamond. The gain in information about the states contributing to the emission dynamics enhances the understanding of bunching phenomena and, in particular, clarifies the influence of potential background light. This is crucial for identifying, designing, and fabricating bright single-photon emitters for applications in quantum technologies.","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/qute.70467","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Emergent-Coupling-Based Ansatz Evaluated on a Superconducting Quantum Processor 基于紧急耦合的超导量子处理器Ansatz评估

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-14 DOI: 10.1002/qute.70505

Alina Joch, Kevin Lively, Benedikt Fauseweh

{"title":"Emergent-Coupling-Based Ansatz Evaluated on a Superconducting Quantum Processor","authors":"Alina Joch, Kevin Lively, Benedikt Fauseweh","doi":"10.1002/qute.70505","DOIUrl":"https://doi.org/10.1002/qute.70505","url":null,"abstract":"The performance of the variational quantum eigensolver depends critically on the choice of ansatz. In this work, we experimentally evaluate the emergent-coupling-based ansatz (ECBA), a physically motivated variational ansatz for disordered systems. The ECBA is based on a renormalization (semi-)group approach to determine the dominant effective couplings and construct an asymptotically correct ground state. A variational layer based on the location and strength of the effective couplings then corrects the limitations of the renormalization group approach while preserving shallow circuits that capture the essential long-range entanglement structure and balance local correlations. We implement the ECBA on superconducting quantum processors and benchmark it on disordered Heisenberg chain models. Using classically pre-optimized parameters and error mitigation techniques, we study systems of up to 30 qubits and observe a relative experimental energy accuracy of 96.41% for the largest system. Furthermore, we find that the ECBA can be efficiently embedded on hardware with two-dimensional square-lattice connectivity. We compare to commonly used hardware efficient ansätze and observe that the ECBA achieves significantly higher accuracy at a similar gate count.","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/qute.70505","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Cover Feature: Sampling Noise and Optimized Measurement Distribution in Imaginary-Time Quantum Dynamics Simulations (Adv. Quantum Technol. 10/2026) 封面专题：虚时间量子动力学模拟中的采样噪声和优化测量分布（ad . Quantum technology . 10/2026）

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70515

Feng Zhang, Niladri Gomes, Joshua Aftergood, Thomas Iadecola, Yong-Xin Yao, Peter P. Orth

引用次数: 0

Robust Multi-Phonon State Exchange Via Magic-Point Optimal Control in a SNAIL-Coupled Architecture 蜗牛耦合结构中基于魔幻点最优控制的鲁棒多声子状态交换

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70490

Fang-Yu Hong

{"title":"Robust Multi-Phonon State Exchange Via Magic-Point Optimal Control in a SNAIL-Coupled Architecture","authors":"Fang-Yu Hong","doi":"10.1002/qute.70490","DOIUrl":"https://doi.org/10.1002/qute.70490","url":null,"abstract":"<div>\u0000 \u0000 We propose a tripartite architecture in which a Superconducting Nonlinear Asymmetric Inductive Element (SNAIL) acts as a tunable-Kerr virtual bus between two bosonic modes, operating in the strong dispersive regime to achieve fast, high-fidelity multi-phonon entangling operations. Using an extended Magic-Point Fourier-GRAPE protocol, we realize a targeted two-mode multi-phonon state exchange (routing <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>{</mo>\u0000 <mo>|</mo>\u0000 <mn>0</mn>\u0000 <mo>,</mo>\u0000 <mn>2</mn>\u0000 <mo>⟩</mo>\u0000 <mo>,</mo>\u0000 <mo>|</mo>\u0000 <mn>4</mn>\u0000 <mo>,</mo>\u0000 <mn>2</mn>\u0000 <mo>⟩</mo>\u0000 <mo>}</mo>\u0000 <mo>↔</mo>\u0000 <mo>{</mo>\u0000 <mo>|</mo>\u0000 <mn>2</mn>\u0000 <mo>,</mo>\u0000 <mn>0</mn>\u0000 <mo>⟩</mo>\u0000 <mo>,</mo>\u0000 <mo>|</mo>\u0000 <mn>2</mn>\u0000 <mo>,</mo>\u0000 <mn>4</mn>\u0000 <mo>⟩</mo>\u0000 <mo>}</mo>\u0000 </mrow>\u0000 <annotation>$lbrace |0,2rangle, |4,2rangle rbrace leftrightarrow lbrace |2,0rangle, |2,4rangle rbrace$</annotation>\u0000 </semantics></math>) within <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>0.8</mn>\u0000 <mspace></mspace>\u0000 <mi>μ</mi>\u0000 <mi>s</mi>\u0000 </mrow>\u0000 <annotation>$0.8nobreakspace umu text{s}$</annotation>\u0000 </semantics></math> under realistic SNAIL parameters (<math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>α</mi>\u0000 <mo>/</mo>\u0000 <mn>2</mn>\u0000 <mi>π</mi>\u0000 <mo>=</mo>\u0000 <mn>50</mn>\u0000 </mrow>\u0000 <annotation>$alpha /2pi = 50$</annotation>\u0000 </semantics></math> MHz). The optimized pulse steers the trajectory near a “magic point” that substantially reduces pure-dephasing sensitivity (<math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>Δ</mi>\u0000 <mo>⟨</mo>\u0000 <msub>\u0000 <mover>\u0000 <mi>n</mi>\u0000 <mo>̂</mo>\u0000 </mover>\u0000 <mi>q</mi>\u0000 </msub>\u0000 <mo>⟩</mo>\u0000 <mo>=</mo>\u0000 <mn>0.56</mn>\u0000 </mrow>\u0000 <annotation>$Delta langle hat{n}_qrangle = 0.56$</annotation>\u0000 </semantics></math>) and bounds the time-averaged dynamic virtual excitation to <math>\u0000 <semantics>\u0000 <mrow>\u0000 ","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149099531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Control-Constraint-Dependent Architecture Reversal in Multilevel Quantum Batteries 多能级量子电池中控制约束相关的结构反转

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70502

Mohd Asad Siddiqui, Md Qutubuddin, Muhammed Amir

{"title":"Control-Constraint-Dependent Architecture Reversal in Multilevel Quantum Batteries","authors":"Mohd Asad Siddiqui, Md Qutubuddin, Muhammed Amir","doi":"10.1002/qute.70502","DOIUrl":"https://doi.org/10.1002/qute.70502","url":null,"abstract":"<div>\u0000 \u0000 For a multilevel quantum battery, the set of allowed transitions is only part of the charging problem; the control resource used to drive them is equally important. We derive two exact state-tailored instantaneous-power limits for independently addressable transition phases. Under a shared Hilbert–Schmidt norm, optimization over the initial preparation and phases selects the largest accessible Bohr gap, whereas independent per-transition amplitude bounds allow several phase-aligned currents and give an optimum set by the spectral radius of a gap-weighted transition matrix. Thus two architectures with the same spectrum, the same number of controllable transitions, and isomorphic unweighted graphs can exchange their preferred energy-labelled architecture when the experimentally specified control resource is changed; this is not an intrinsic, resource-independent ranking of battery quality. A unified laboratory constraint connects the two limits. We also obtain the resource-conditional reversal for calibrated couplings and for passive and ground-state charging, and show that the short-time ordering persists for finite times under the specified fixed continuations studied here, rather than under globally optimized finite-time control. We further construct an infinite equal-spectrum family. The comparison therefore depends on the spectrum and transition network together with state preparation and the available controls.\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149099526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Chiral Transfer and Preparation of Mechanical Bell States 机械钟态的手性转移和制备

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70501

Xiao-Qian Wu, Yi-Fan Qiao, Peng-Bo Li

{"title":"Chiral Transfer and Preparation of Mechanical Bell States","authors":"Xiao-Qian Wu, Yi-Fan Qiao, Peng-Bo Li","doi":"10.1002/qute.70501","DOIUrl":"https://doi.org/10.1002/qute.70501","url":null,"abstract":"<div>\u0000 \u0000 Generating maximally entangled Bell states is a long-standing goal for practical quantum information processing. Mechanical resonators, as macroscopic bosonic modes with long coherence times and rich nonlinear resources, have recently been endowed with a powerful squeezing resource: two-phonon drive can be leveraged to deterministically encode qubits in the lowest squeezed–Fock states. Here, we show that this squeezed–Fock encoding not only defines a robust qubit subspace, but also provides an inherently tunable platform for generating Bell states. In this work, we propose a system of two coupled mechanical resonators. By simply modulating the squeezing parameter, the effective detuning and dissipation of a mechanical qubit can be simultaneously and precisely controlled, allowing the coupled system to dynamically evolve near exceptional points in parameter space. In post-selection protocol, we demonstrate that this enables chiral transfer between Bell states, as well as the preparation of Bell states from separable initial states, both achieving a conditional fidelity of 0.99 with no-jump success probability of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>1.05</mn>\u0000 <mo>×</mo>\u0000 <msup>\u0000 <mn>10</mn>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mn>8</mn>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$1.05times 10^{-8}$</annotation>\u0000 </semantics></math>. Our work establishes mechanical squeezed–Fock qubits as a promising platform for exceptional-point-based quantum control, and opens a path toward on-chip generation and chiral manipulation of macroscopic entanglement.\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149099530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

One-Sided Device-Independent Quantum Key Distribution Over Noisy Metropolitan Links: Noise Thresholds and Purification-Assisted Recovery 在有噪声的城域链路上的单侧设备无关量子密钥分发：噪声阈值和净化辅助恢复

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70503

Syed M. Arslan, Muhammad T. Rahim, Asad Ali, Hashir Kuniyil, Saif Al-Kuwari

{"title":"One-Sided Device-Independent Quantum Key Distribution Over Noisy Metropolitan Links: Noise Thresholds and Purification-Assisted Recovery","authors":"Syed M. Arslan, Muhammad T. Rahim, Asad Ali, Hashir Kuniyil, Saif Al-Kuwari","doi":"10.1002/qute.70503","DOIUrl":"https://doi.org/10.1002/qute.70503","url":null,"abstract":"<div>\u0000 \u0000 One-sided device-independent quantum key distribution (1SDI-QKD) offers a practical middle ground between fully device-independent protocols and standard QKD, achieving security with detection efficiencies as low as 50.1% on the untrusted side. However, prior analyzes assumed idealized channels. This work extends the 1SDI-QKD framework to amplitude damping, dephasing, and depolarizing noise. Results reveal a clear noise hierarchy: dephasing tolerates the most noise before security is lost (<math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>p</mi>\u0000 <mtext>crit</mtext>\u0000 </msub>\u0000 <mo>≈</mo>\u0000 <mn>0.50</mn>\u0000 </mrow>\u0000 <annotation>$p_{text{crit}} approx 0.50$</annotation>\u0000 </semantics></math> vs. 0.449 and 0.220 respectively), while depolarizing noise imposes the most stringent detection efficiency requirements, exceeding 97% at 20% noise where amplitude damping requires 76%. Security is lost while substantial entanglement remains (<math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>C</mi>\u0000 <mo>≈</mo>\u0000 <mn>0.67</mn>\u0000 </mrow>\u0000 <annotation>$C approx 0.67$</annotation>\u0000 </semantics></math>–0.74), demonstrating that steering violation, not merely entanglement, determines 1SDI-QKD security. Integrating the BBPSSW purification protocol shows that it functions primarily as a range-extension mechanism: five rounds extend dephasing-limited operation from 10 to 36 km at 90% detection efficiency. Accounting for both the <math>\u0000 <semantics>\u0000 <msup>\u0000 <mn>2</mn>\u0000 <mi>n</mi>\u0000 </msup>\u0000 <annotation>$2^n$</annotation>\u0000 </semantics></math> pair cost and the cumulative success probability, the effective rate peaks at <math>\u0000 <semantics>\u0000 <msup>\u0000 <mn>10</mn>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mn>3</mn>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$ 10^{-3}$</annotation>\u0000 </semantics></math> bits per initial pair for dephasing but only <math>\u0000 <semantics>\u0000 <msup>\u0000 <mn>10</mn>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mn>6</mn>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$ 10^{-6}$</annotation>\u0000 </semantics></math> for amplitude damping and depolarizing noise, identifying phase noise limited links as the regime where purification is worthwhile.\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149099529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Emergence of Quasi-Two-Dimensional Superconductivity in W-Doped Bulk Noncentrosymmetric 3 R $R$ - TaSe 2 ${rm TaSe}_2$ w掺杂非中心对称体3r $R$ - TaSe ${rm TaSe}_2$的准二维超导性

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70500

P. Manna, R. P. Singh

{"title":"Emergence of Quasi-Two-Dimensional Superconductivity in W-Doped Bulk Noncentrosymmetric 3\u0000 \u0000 R\u0000 $R$\u0000 -\u0000 \u0000 \u0000 TaSe\u0000 2\u0000 \u0000 ${rm TaSe}_2$","authors":"P. Manna, R. P. Singh","doi":"10.1002/qute.70500","DOIUrl":"https://doi.org/10.1002/qute.70500","url":null,"abstract":"<div>\u0000 \u0000 Noncentrosymmetric transition-metal dichalcogenides offer a rich environment for the study of unconventional superconducting phenomena. Here, we present a comprehensive analysis of single-crystalline W-doped 3<math>\u0000 <semantics>\u0000 <mi>R</mi>\u0000 <annotation>$R$</annotation>\u0000 </semantics></math>-<math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>TaSe</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <annotation>${rm TaSe}_2$</annotation>\u0000 </semantics></math>, revealing weakly coupled anisotropic unconventional superconductivity at <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>T</mi>\u0000 <mi>c</mi>\u0000 </msub>\u0000 <annotation>$T_c$</annotation>\u0000 </semantics></math> = 2.82(2) K, with an in-plane upper critical field exceeding the Pauli limit by 1.7 times. The angular dependence of the upper critical field, along with the observation of a Berezinskii–Kosterlitz–Thouless transition, reveals quasi-two-dimensional superconductivity. Crucially, magnetotransport reveals a distinct two-fold rotational symmetry within the superconducting state under in-plane fields, breaking the underlying three-fold lattice symmetry. These findings establish W-doped <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mi>R</mi>\u0000 <msub>\u0000 <mtext>-TaSe</mtext>\u0000 <mn>2</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$3Rtext{-TaSe}_2$</annotation>\u0000 </semantics></math> as a bulk model system for exploring intrinsic low-dimensional superconductivity and broken rotational symmetry, thus opening new directions for future quantum technologies.\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149099525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Cover Feature: On-Chip Cryogenic Level Meters for Magnetic Field Based on TiN Superconducting Microwave Resonators (Adv. Quantum Technol. 10/2026) 封面特色：基于TiN超导微波谐振器的片上低温磁场液位计（ad . Quantum technology . 10/2026）

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70516

Shu-Kun Ye, Zi-Qing Huang, Yong-Qiang Xu, Yuan Kang, Rui Wu, Song-Yan Deng, Bao-Chuan Wang, Ran-Ran Cai, Hai-Ou Li, Xiang-Xiang Song, Gang Cao, Guo-Ping Guo

引用次数: 0

Why Mutual Information Works for Quantum Simulation: Density–Density Operators Cannot Generate Entanglement Across Orbital Partitions 为什么互信息适用于量子模拟：密度-密度算子不能在轨道分区间产生纠缠

IF 4.3

Advanced quantum technologies Pub Date : 2026-10-07 DOI: 10.1002/qute.70493

Lalitha Nallamothula, Victor Prybutok

{"title":"Why Mutual Information Works for Quantum Simulation: Density–Density Operators Cannot Generate Entanglement Across Orbital Partitions","authors":"Lalitha Nallamothula, Victor Prybutok","doi":"10.1002/qute.70493","DOIUrl":"https://doi.org/10.1002/qute.70493","url":null,"abstract":"<div>\u0000 \u0000 Entanglement forging and related bipartite methods require an orbital partition that concentrates the ground-state Schmidt spectrum. The orbital mutual information (MI) criterion selects good partitions empirically, without rigorous justification. We prove that density–density integrals <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>J</mi>\u0000 <mrow>\u0000 <mi>i</mi>\u0000 <mi>a</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mo>=</mo>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>i</mi>\u0000 <mi>i</mi>\u0000 <mo>|</mo>\u0000 <mi>a</mi>\u0000 <mi>a</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$J_{ia} = (ii|aa)$</annotation>\u0000 </semantics></math> are diagonal operators, exactly absent from cross-sector coupling: they cannot generate bipartite entanglement. Only off-diagonal integrals <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>i</mi>\u0000 <mi>a</mi>\u0000 <mo>|</mo>\u0000 <mi>j</mi>\u0000 <mi>b</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(ia|jb)$</annotation>\u0000 </semantics></math>, dominated by exchange <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>K</mi>\u0000 <mrow>\u0000 <mi>i</mi>\u0000 <mi>a</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mo>=</mo>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>i</mi>\u0000 <mi>a</mi>\u0000 <mo>|</mo>\u0000 <mi>i</mi>\u0000 <mi>a</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$K_{ia} = (ia|ia)$</annotation>\u0000 </semantics></math>, drive Schmidt-concentration loss. Across 13 systems spanning closed-shell, stretched-bond, diradical, and aromatic regimes, MI outperforms the exchange (<math>\u0000 <semantics>\u0000 <mi>K</mi>\u0000 <annotation>$K$</annotation>\u0000 </semantics></math>) and 2-RDM (<math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Γ</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mn>2</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$Gamma ^{(2)}$</annotation>\u0000 </semantics></math>) criteria: 9/9 in head-to-head tests, and maximal Schmidt weight in 12/12 scoreable systems und","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 10","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149099524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0