Frontier Signals

Daily brief

June 8, 2026.

60 quantum research items collected on 2026-06-08; hardware, control, and industry signals routed.

103 items · Quantum, Chips, Power · All briefs

Quantum

60 quantum research items collected on 2026-06-08; hardware, control, and industry signals routed.

Hardware and Error Correction

Control and Quantum-AI Integration

  • Driving Exchange Interaction in Spin Qubits with Quasi-Zero Pulses

    The implementation of high-fidelity quantum gates for spin qubits requires accurate control of exchange interactions between electrons confined in quantum dots, but pulse distortions can limit this control accuracy. Although linear-dynamical distortions can be compensated for by appropriately convolving the control signal, determining the necessary convolution requires detai...

  • Measurement circuit ansatz: Naimark versus quantum neural-network measurements

    In this work, we present constructions of quantum circuits to implement general measurements on quantum hardware. Firstly, we investigate a quantum circuit ansatz by following the Naimark extension with a universal set of gates, such as controlled-NOT and single-qubit gates; we call it a Naimark quantum measurement. We present a circuit ansatz framed by the Naimark extension...

  • Towards Implementable Quantum Divide and Conquer: A TSP Solver with Improved Exponential Base over Held-Karp

    The traveling salesman problem (TSP) is a significant classical NP-hard combinatorial optimization problem. In this work, we demonstrate that combining classical dynamic programming with quantum search can yield an achievable quantum advantage for TSP on the basis of excellent work by the authors of~\cite{ambainis2019quantum}. We design the quantum divide and conquer strateg...

  • Continuous-time quantum control across an exponentially small bottleneck in a frustrated Ising ring model

    Continuous-time Quantum Annealing (QA) is a strategy for preparing the ground state of nontrivial many-body systems. In its standard form, the dynamics is generated by a time-dependent interpolation between a simple driving Hamiltonian and the target problem Hamiltonian, usually implemented through a linear schedule. This approach faces the crucial bottleneck of small spectr...

  • Projector Quantum Variational Ansatz

    Quantum computing offers several algorithms to compute the ground state of a problem Hamiltonian. The most desirable algorithms belong to the Fault Tolerant QuantumComputing (FTQC) regime, such as quantum algorithms with repetitive structure like Quantum Phase Estimation (QPE) and Quantum Signal Processing (QSP). However, in the Noisy In-termediate Scale Quantum (NISQ) regim...

  • Machine-Learning Optimization and Characterization of a High-Optical-Depth Two-Color Nanofiber Trap

    Optical nanofibers provide a way of coupling quantum information in cold atoms across large distances, however, this coupling requires atoms to reside close to the nanofiber surface. Atoms can be trapped close to the surface using a two-color dipole trap. Here we present our experimental realization of a two-color dipole trap. We optimize the number of trapped atoms using a...

  • Computational Superiority of Non-Markovian Kerr Feedback in Continuous-Variable Quantum Reservoir Computing

    A linear optical medium can delay, mix, and superpose light, but never make two pulses multiply: multiplication is nonlinear, and a linear system has no such operation. This roots a sharp limit on continuous-variable quantum reservoir computers (QRCs) built from Gaussian optics. Within the reservoir they cannot form genuine products of the input at different past times, the...

  • Unified Framework for Functional Theories of Quantum Systems

    We introduce and study a unified framework for density-functional theory and its variants for quantum systems on finite-dimensional Hilbert spaces. These theories seek to reduce the complexity inherent in the many-body quantum problem by describing ground states through reduced variables. The central ingredients of our unified framework are a generalized choice of basic obse...

Commercial and Industry Context

  • Light-tunable quantum metric non-linear Hall response in Berry dipole semimetals

    We investigate the effect of light on quantum metric-mediated intrinsic nonlinear Hall conductivity in Berry dipole semimetals. We discover that light induces a tunable asymmetry in the off-diagonal part of the quantum metric, which is manifested by an asymmetry in the quantum metric dipole. We show that the nonlinear response can be tuned directly by the light amplitude. In...

  • Higher-order Symmetric Quantum Mpemba Effect in Fragmented Systems

    A quantum system can restore a broken symmetry faster the more strongly it initially breaks it, an anomaly known as the quantum Mpemba effect. Whether this effect survives once conservation laws fragment the Hilbert space into exponentially many disconnected Krylov sectors has remained open. We address this question for circuits and Hamiltonians with simultaneous charge and...

  • Why Quantum Computing Companies Are Turning to SPACs

    <a href="https://thequantuminsider.com/2026/06/08/why-quantum-computing-companies-are-turning-to-spacs/" rel="nofollow" title="Why Quantum Computing Companies Are Turning to SPACs"><img alt="SPACs" class="webfeedsFeaturedVisual wp-post-image" height="887" src="https://thequantuminsider.com/wp-content/uploads/2026/06/FigX.png" style="display: block; margin: auto; margin-botto...

  • Quantinuum and Mitsubishi Electric Sign Quantum Computing MOU

    <a href="https://thequantuminsider.com/2026/06/05/quantinuum-and-mitsubishi-electric-sign-quantum-computing-mou/" rel="nofollow" title="Quantinuum and Mitsubishi Electric Sign Quantum Computing MOU"><img alt="Quantinuum logo - TQI" class="webfeedsFeaturedVisual wp-post-image" height="711" src="https://thequantuminsider.com/wp-content/uploads/2026/06/2026-06-05_14-33.png" sty...

  • UK Risks Repeating Semiconductor and AI Mistakes Unless Government Acts Now on Quantum, Warns Cross-Party Parliamentary Group

    <a href="https://thequantuminsider.com/2026/06/04/uk-risks-repeating-semiconductor-and-ai-mistakes-unless-government-acts-now-on-quantum-warns-cross-party-parliamentary-group/" rel="nofollow" title="UK Risks Repeating Semiconductor and AI Mistakes Unless Government Acts Now on Quantum, Warns Cross-Party Parliamentary Group"><img alt="united kingdom, flag, british flag, count...

Unrouted Items

  • Quantum correlations in QBism's reconstruction program

    QBism recasts quantum theory as a normative framework for an agent's probability assignments, with the Born rule taking the form of a consistency condition known as the Urgleichung. Motivated by this perspective, qplex theories provide a broader class of probabilistic models in which the sets of valid states and measurements are constrained by QBist-inspired geometric condit...

  • Topologically Enforced Lifshitz Multicriticality in One Dimension

    Recent advances have revealed that topology can further enrich the universality classes of quantum phase transitions, thereby extending beyond the traditional paradigms of statistical and condensed matter physics. However, multicriticality between topologically distinct quantum critical lines remains insufficiently explored. In this Letter, we systematically construct and in...

  • Ferroelectrical Switching as a Probe of Quantum Damping in Magnetic Spin Systems

    While damped spin dynamics is important for the understanding of magnetic materials, clear signatures of \emph{quantum corrections} to the Gilbert damping mechanism remain elusive. We propose a route to distinguish quantum and classical Gilbert spin damping using ferroelectric control of a magnetic dimer. Ab initio calculations for dimers on ferroelectric substrates show tha...

  • Tests of constructor theory

    Constructor theory is a proposal to extend quantum information theory beyond both quantum theory and computation, to cover more general machines than programmable computers -- called constructors. It consists of newly conjectured physical principles that can be expressed as constraints on what tasks are possible, what are impossible, and why. These principles also determine...

  • Performance analysis of classical adiabatic annealing on Ising machines

    Ising machines are a promising approach to solve combinatorial optimization problems. They map these problems onto the Ising model and search for low-energy configurations. However, navigating the rugged energy landscapes of these systems remains difficult. To improve this navigation, classical adiabatic annealing has been proposed in the literature as a heuristic optimizati...

  • Proof that the Klein-Gordon type equation with alpha attractor potential has no Liouvillian solution or as a composition of special functions

    This study investigates the analytical solvability of the Klein-Gordon and Duffin-Kemmer-Petiau (DKP) equations for a scalar particle interacting with a transcendental $α$-attractor-type potential, $V(x) = V_0 e^{a \tanh(bx)}$. We first address the problem of integrability within the framework of Picard-Vessiot theory. By analyzing the differential field extensions associate...

  • QBugLM: An Agentic Benchmarking Framework for LLM-based Quantum Software Debugging

    Quantum software bugs often yield silent, incorrect outputs rather than explicit errors, making them particularly difficult to detect and repair with conventional techniques. Although large language models (LLMs) have shown strong performance on classical software engineering tasks, their ability to debug quantum code remains largely unexplored. To bridge this gap, we propos...

  • Quantum critical properties of non-Hermitian XY models with magnetic field

    The characterization of the quantum critical properties of genuine non-Hermitian many-body systems remains ambiguous as neither the state considered nor the definition of expectation values is unique. In this work, we investigate the quantum critical properties of two models of non-Hermitian XY spin chains with magnetic field. Using exact solutions, we systematically investi...

  • Elucidating the Control of Circular Dichroism in Ion Yield via Chirped Pulses with Purposeful Models

    We theoretically investigate circular dichroism in the ion yield following $1+1+1$ ionization of 3-methylcyclopentanone using femtosecond linearly chirped laser pulses, inspired by recent experiments by Das et al. [Phys. Chem. Chem. Phys. 27, 8043 (2025)]. To this end, we numerically solve the time-dependent Schrödinger equation and evaluate the total population in the Rydbe...

  • Long-range interactions assisted shortcuts to adiabaticity and battery charging in open quantum critical systems

    In this work we show that long-range interactions can be significantly beneficial for implementing shortcuts to adiabaticity (STA) in many-body open quantum critical systems driven out of equilibrium, as well as for charging quantum batteries in the presence of dissipation. In sharp contrast to short range interactions where passage through criticality may demand STA control...

  • Experimental Demonstration of Free-Space Unidimensional Continuous-Variable Quantum Key Distribution Under High Detector Noise

    Continuous-variable quantum key distribution (CV-QKD), which uses quadratures of the electromagnetic field, enables practical quantum communication using standard telecommunication technologies. Unidimensional CV-QKD (UD-CVQKD) simplifies the implementation by restricting modulation to a single quadrature. In this work, we experimentally demonstrate a free-space Gaussian-mod...

  • Asymmetry dynamics and nonequilibrium symmetry-breaking phase transitions

    In classical settings, the Mpemba effect occurs when a hotter system cools faster than an initially colder one. In quantum systems, this effect can be reinterpreted exploiting the concept of symmetries, with the asymmetry of a subsystem playing the role of temperature. A quantum Mpemba effect arises when a more asymmetric state restores the symmetry faster than a less asymme...

  • Quantum correlations and coherence in a two-qubit anisotropic $XY$ under magnetic field

    We study thermal quantum correlations and coherence in Heisenberg $XY$ model with anisotropic interactions under a uniform magnetic field $ B $. Using concurrence $C$, local quantum uncertainty (LQU), Bell-Clauser-Horne-Shimony-Holt (CHSH) nonlocality $ \mathbb{B}$, and coherence $C_l$ as quantifiers, we analyze how magnetic anisotropy $ δ_m $, coupling anisotropy $ δ_c $, D...

  • Exact noise characterization of entanglement distribution in star networks

    Multipartite entanglement forms the core of many networking applications. In the near-term future, it is expected that multipartite distribution will be achieved first through star topologies, making it important to understand the noise incurred during the distribution process. In such networks, elementary links are created stochastically and successful links must be stored...

  • Frequency Detuning and Interference-Induced Bohmian Chaos in a Two-Dimensional Anisotropic Harmonic Oscillator

    We investigate the emergence of chaotic Bohmian trajectories in a three-mode superposition of the ground and first excited states of a two-dimensional anisotropic harmonic oscillator. The analysis focuses on the interference-induced phase structure of the wavefunction, which determines the Bohmian velocity field through its phase gradient. We show that the spatial extent of...

  • Regular and chaotic dynamics of nonlinear optomechanical systems controlled by modulated light

    The nonlinear dynamics of a mechanical resonator in an optomechanical system with linear, quadratic and cubic photon-vibration interactions (with respect to mechanical displacements) in a modulated driving field under conditions of adiabatic elimination of the optical field is studied. Based on the constructed bifurcation diagrams of the mechanical coordinate and the largest...

  • Nonreciprocal optomechanical entanglement in an asymmetric Fabry-Perot cavity

    Nonreciprocal transmission (classical nonreciprocity) in optomechanical systems based on asymmetric Fabry-Perot (F-P) cavities has been theoretically proposed and experimentally demonstrated. However, nonreciprocal quantum effects, particularly nonreciprocal quantum entanglement, remain unexplored in such systems. Here, we propose to generate nonreciprocal optomechanical ent...

  • Cyclic ladder operators and hidden Weyl-Heisenberg structure in a Floquet system

    Ladder operators, found in the quantum harmonic oscillator and other quantized systems, provide an elegant approach to solving or understanding otherwise intricate physics problems. In this Letter, we discuss cyclic ladder operators in both Hermitian and non-Hermitian systems with a finite Hilbert space, with the highest (lowest) level directly descending (ascending) to the...

  • Bures geodesics for non-faithful states and quantum speed limit

    The quantum speed limit establishes a bound on the minimal time required for a quantum system to evolve from a given initial state to a final state. When the mean energy variance is fixed this limitation is captured by the Mandelstam--Tamm bound. The fastest quantum evolution saturating this bound follows a geodesic arc connecting the two states. Such geodesics in the manifo...

  • Non-Hermitian Crystalline Braid Topology from Hermitian Projection: A Zero-Mode Resonance Mechanism

    Non-Hermitian topological phases are usually engineered through gain, loss, asymmetric couplings, or explicit environmental channels. Here we show that non-Hermitian crystalline braid topology can instead emerge from projection alone, starting from a fully Hermitian and topologically trivial parent lattice. The mechanism is zero-mode-resonant projection. When the eliminated...

  • Collective decay of interacting bosons

    We study a bosonic analog of the paradigmatic Dicke model of superradiance, comprising interacting bosonic modes subject to fully symmetric collective decay. Depending on the interaction strength, we uncover qualitatively distinct regimes of emission. For strong interactions, the emission closely resembles Dicke superradiance, with perturbative corrections arising from the p...

  • Sensing ac fields with quantum many-body scars

    Quantum many-body scars (MBS) exhibit weak ergodicity breaking and long-lived coherent dynamics within an otherwise thermal spectrum. We investigate their metrological properties using the quantum Fisher information (QFI), focusing on estimating the amplitude of a weak AC field in the PXP model. We show that the approximately uniform energy spacing of the scar tower enables...

  • Quantum-stabilized patterns in a vector Hopfield network

    We introduce the quantum vector Hopfield network, in which patterns are formed by orientations of quantum vector spins; quantum dynamics arise intrinsically from the non-commutativity of the spin operators. We derive the equations of state and the phase diagrams for this network as well as its classical counterpart. We find that quantum fluctuations, surprisingly, stabilize...

  • Fun with Graph States: Nonlocal Bell Pairs and the Arf Invariant

    We study inner products and partial amplitudes of graph states--a commonly employed class of quantum states, which are specified by graphs. We find that the magnitudes of these quantities are simply related to the rank of the adjacency matrix of the graph over F_2 while the phase is determined by the Arf invariant of its quadratic refinement. These facts motivate a nonlocal...

  • Enhancement of charge correlations and real-space topological marker on an interacting non-Hermitian Su-Schrieffer-Heeger model

    We investigate the interacting non-Hermitian Su-Schrieffer-Heeger (SSH) model, focusing on the interplay between topology and charge ordering. Using a real-space topological marker, charge correlations, and the complex many-body spectrum, we map out the phase diagram under periodic and open boundary conditions. We show that the topological marker remains a robust diagnostic...

  • SEALSQ Broadens Quantum Computing and Post-Quantum Security Strategy

    <a href="https://thequantuminsider.com/2026/06/05/sealsq-expands-quantum-strategy-through-investments-in-quantum-computing-companies/" rel="nofollow" title="SEALSQ Broadens Quantum Computing and Post-Quantum Security Strategy"><img alt="SEALSQ logo - TQI" class="webfeedsFeaturedVisual wp-post-image" height="706" src="https://thequantuminsider.com/wp-content/uploads/2026/06/2...

  • Scientists Identify the Origin of Noise in Spin Qubit Quantum Processors

    <a href="https://thequantuminsider.com/2026/06/05/scientists-identify-the-origin-of-noise-in-spin-qubit-quantum-processors/" rel="nofollow" title="Scientists Identify the Origin of Noise in Spin Qubit Quantum Processors"><img alt="" class="webfeedsFeaturedVisual wp-post-image" height="752" src="https://thequantuminsider.com/wp-content/uploads/2026/06/Screenshot-2026-06-05-at...

  • Quantum X Labs Adds Oren Raz to Scientific Advisory Board

    <a href="https://thequantuminsider.com/2026/06/04/quantum-x-labs-adds-oren-raz-to-scientific-advisory-board/" rel="nofollow" title="Quantum X Labs Adds Oren Raz to Scientific Advisory Board"><img alt="Prof. Oren Raz" class="webfeedsFeaturedVisual wp-post-image" height="441" src="https://thequantuminsider.com/wp-content/uploads/2026/06/2026-06-04_17-04.png" style="display: bl...

Chips

46 chip stack items collected on 2026-06-08; memory, packaging, compute, and foundry signals routed.

Compute Accelerators

Memory and Advanced Packaging

  • Read-Centric DTCO for IGZO FeFETs 3D Heterogeneous AI memories (imec, KU Leuven)

    <p>Researchers from imec and KU Leuven have published “DTCO of NOR-Type IGZO FeFETs for 3D Heterogeneous AI Memories: A Read-Centric Perspective”. Abstract excerpt “This work evaluates the viability of NOR-type IGZO FeFETs for 3D heterogeneous AI memories from a read-centric design-technology co-optimization (DTCO) perspective, spanning on-chip back-end-of-line (BEOL) RAMs a...

  • Chip Industry Week In Review

    <p>Computex shows AI ecosystem; fully autonomous chip design; Intel targets AI racks; Nikon's 1.5 micron L/S litho; IC market rises; Apple's chiplet era; 4,500 chips per AI server rack; HBM price hikes; quantum IPO, chip and roadmap; SiC guidelines; MXenes; EV outlook; autonomous edge chiplets.</p> <p>The post <a href="https://semiengineering.com/chip-industry-week-in-review...

  • Packaging Technologies Redefine AI And HPC Scalability Limits At ECTC 2026

    <p>Advancements in EMIB-T, co-packaged optics, and glass substrates.</p> <p>The post <a href="https://semiengineering.com/packaging-technologies-redefine-ai-and-hpc-scalability-limits-at-ectc-2026/">Packaging Technologies Redefine AI And HPC Scalability Limits At ECTC 2026</a> appeared first on <a href="https://semiengineering.com">Semiconductor Engineering</a>.</p>

Foundry, Tools, and Capex

Unrouted Items

Power

22 power layer items collected on 2026-06-08; data center load, grid, generation, and cooling signals routed.

Data Center Power Demand

  • Data center server energy use grows across the commercial building stock

    In the Annual Energy Outlook 2026 (AEO2026), our long-term outlook, we project electricity consumed by data center servers will increase across the commercial building stock, increasing more in standalone data centers than in all other data center rooms combined. By 2050, server consumption alone reaches between 446 billion kilowatthours (BkWh) and 818 billion BkWh. The high...

  • Commercial electricity sales have soared in Virginia, driven by data centers

    Commercial electricity sales in Virginia increased by nearly 30.0 million megawatthours (MWh) between 2019 and 2025, much faster growth than in any other state except Texas, a much larger state, according to our Annual Electric Power Industry Report. The growth in sales of electricity in Virginia is largely driven by a concentration of data centers, as well as electric vehic...

  • ENKA and GE Vernova mark the start of commercial operation of Türkiye’s first HA-powered plant

    Kırklareli, Türkiye -&nbsp;(May 12, 2026) ENKA and GE Vernova Inc (NYSE: GEV) today announced the start of commercial operations at the 852&nbsp;megawatts (MW) Kırklareli power plant in Kırklareli, about 20 miles from the Bulgarian border in Türkiye. The facility is the&nbsp;first HA-powered plant

Grid and Generation

  • China's nuclear power capacity nearly doubled since 2016

    From 2016 to 2024, China's nuclear generation capacity increased 76% (24 GW), based on our International Energy Statistics (IES) data. According to the International Atomic Energy Agency's Power Reactor Information System (PRIS), China added an additional 1.1 GW of nuclear power capacity in 2025 and 2.2 GW in 2026 (through May). China is continuing to build out its nuclear g...

  • Coal remains competitive for power generation in the central United States

    In the first four months of 2026, electricity, natural gas, and coal prices suggested continued favorable economics for coal generation in MISO. The dark spread of coal, the difference between the fuel costs for coal-fired generation and the wholesale electricity price, in the Midcontinent Independent System Operator (MISO) region outpaced a similar measure of revenue relati...

  • Electricity generation from solar could exceed coal in ERCOT for the first time in 2026

    In our most recent Short-Term Energy Outlook (STEO), we forecast that annual electric power generation from utility-scale solar will surpass that from coal for the first time in 2026 within the electricity grid that covers most of Texas. Solar generation is expected to reach 78 billion kilowatthours (BkWh) in 2026 in the electricity grid operated by the Electric Reliability...

  • Coal distributions for non-electric power use decline in the South

    The volume of coal delivered in the United States for uses other than power generation—primarily, for manufacturing—decreased by about half in the last 15 years. Coal delivered for these purposes in the South decreased the most in percentage terms between 2010 and 2025, falling 75%, or 14.7 million short tons (MMst), according to our Annual Coal Distribution Report and Quart...

  • GE Vernova deepens India commitment with 3.8 MW workhorse turbine launch, Powerica order, ALMM certification, and Pune manufacturing build-out

    New Delhi, India&nbsp;(June 4, 2026) – GE Vernova Inc. (NYSE: GEV) announced today that it has signed an agreement with Powerica Limited to supply 28&nbsp;of its 3.8 MW–154m* onshore wind turbines for the Botad Wind Farm in Gujarat, India. The 100 MW project marks the debut of GE Vernova’s 3.8 MW

  • GE Vernova's HA gas turbine fleet surpasses 4 million operating hours as global power demand accelerates

    ATLANTA, GA -&nbsp;(May 26, 2026) -&nbsp;GE Vernova Inc. (NYSE: GEV) today announced that its HA gas turbine fleet has surpassed&nbsp;4 million commercial operating hours worldwide, marking an important milestone for one of the power industry’s most advanced and efficient gas turbine technologies.

  • GE Vernova secures order to modernize key power plants in Egypt

    CAIRO, Egypt&nbsp;(April 29, 2026) –&nbsp;GE Vernova Inc.&nbsp;(NYSE: GEV) announced today that it received an order from an affiliate of Egyptian Electricity Holding Company (EEHC,) Middle Delta Electricity Production Company (MDEPC), to modernize power generation infrastructure and improve

  • GE Vernova announces new wind turbine orders from BBWind and Greenvolt Power in Germany

    MADRID, SPAIN (April 23, 2026) - GE Vernova’s Wind segment announced today that it has secured agreements to supply 71.5 MWs of onshore wind turbines to BBWind and Greenvolt Power for various projects across Germany. The deals, which were booked in the Q4 of 2025, represent a significant milestone

Cooling and Electrical Infrastructure

  • Most planned natural gas pipeline capacity additions in 2026 and 2027 originate in Texas

    Developers plan to bring approximately 44.9 billion cubic feet per day (Bcf/d) of new pipeline capacity online in the United States in 2026 and 2027, according to our latest Natural Gas Pipeline Projects Tracker. Approximately 70% (31.6 Bcf/d) of this new capacity is already under construction. More than 66% (29.7 Bcf/d) of the capacity additions originate in Texas. Louisian...

Markets and Policy

  • Natural gas for power generation flat this summer, record high expected in 2027

    We forecast natural gas consumption by the U.S. electric power sector this summer will remain near recent highs and set a record next summer in our May Short-Term Energy Outlook (STEO). Despite a 2% increase in overall U.S. electricity demand this summer, we expect natural gas-fired electricity generation to be similar to last summer, primarily because of forecast increased...

Unrouted Items

  • U.S. natural gas storage capacity increased slightly in 2025

    Underground working natural gas storage capacity in the Lower 48 states increased slightly in 2025, according to our latest data, with growth concentrated in the South Central and Mountain regions. Underground natural gas storage provides a source of energy when demand increases, balancing U.S. energy needs. We calculate natural gas storage capacity in two ways: demonstrated...

  • GE Vernova to deliver pumped-storage technology for India’s 1.35 GW Upper Sileru hydropower plant

    VADODARA, INDIA&nbsp;(May 4, 2026) –&nbsp;GE Vernova Inc.&nbsp;(NYSE: GEV) announced today that it has secured an order from Megha Engineering &amp; Infrastructures Limited (MEIL) to deliver nine 150 MW pumped-storage units for the 1.35 GW Upper Sileru hydropower plant, located in the state of

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