hiyenwong/ai_collection - الصفحة ٦٩

quantum-trace-maps-3d

3D Quantum Trace Map methodology — homomorphism from skein modules of triangulated 3-manifolds to quantum gluing modules, unifying constructions by Garoufalidis-Yu and Panitch-Park.

لغة النص الأصلي: الإنجليزية

quantum-typicality-gauge-constraints

Methodology for analyzing quantum typicality under non-Abelian gauge constraints using SU(2) lattice gauge theory. Proves that typical mutual information between disjoint subsystems matches exact parameter-free analytical predictions. Use when studying…

لغة النص الأصلي: الإنجليزية

quantum-witness-expansion-framework

Witness Expansion framework for unified quantum resource detection. Constructs nonlinear criteria for detecting quantum resources via polynomial functions of target states. Use when analyzing quantum resources like coherence, entanglement, magic states, or…

لغة النص الأصلي: الإنجليزية

quantum-witness-expansion

Witness Expansion framework for unified quantum resource detection. Constructs nonlinear criteria for detecting quantum resources (coherence, entanglement, magic, non-Gaussianity) associated with a group of free unitaries. Applies to both pure and mixed…

لغة النص الأصلي: الإنجليزية

qubit-assisted-heisenberg-metrology

Criterion for qubit-assisted quantum metrology achieving Heisenberg scaling. Probe-ancilla coupling design for optimal parameter estimation, temperature-enhanced sensitivity, and finite-temperature Heisenberg scaling.

لغة النص الأصلي: الإنجليزية

qubo-hybrid-optimization-scheduling

QUBO-based hybrid quantum-classical optimization methodology for coordinated scheduling problems. Formulates time-dependent operational constraints as quadratic unconstrained binary optimization, then solves with quantum annealing validated by classical…

لغة النص الأصلي: الإنجليزية

random-dimension-reduction-quantum-learning

Random dimension reduction procedure for quantum states that reduces dimensions while preserving properties invariant under tensor power action of isometries. Provides black-box method to replace dimension with max rank in sample complexity for learning…

لغة النص الأصلي: الإنجليزية

random-grover-search

Randomized Grover search algorithm methodology that directly uses confidence-based sampling rather than amplitude amplification.

لغة النص الأصلي: الإنجليزية

random-projection-quantum-algorithms

Random projections framework for multi-copy quantum algorithms — estimating nonlinear properties of quantum states (multivariate traces, Rényi entropies) with reduced coherent operations. Use when designing multi-copy quantum algorithms, estimating nonlinear…

لغة النص الأصلي: الإنجليزية

reduced-basis-quantum-ode-solver

Reduced Basis Algorithm (RBA) methodology for solving polynomial nonlinear ODEs and PDEs on quantum computers. Converts nonlinear dynamics into linear RBA operators via reduced monomial basis construction. Use when: implementing quantum algorithms for…

لغة النص الأصلي: الإنجليزية

rl-list-sequential-qldpc-decoding

Reinforcement learning-based list sequential belief propagation decoder for QLDPC codes — extends RL-S scheduling with list-based branch exploration for improved decoding convergence.

لغة النص الأصلي: الإنجليزية

scalable-mp-quantum-gnn

Scalable Message-Passing Quantum Graph Neural Networks methodology — building quantum GNNs with message passing, permutation equivariance, and Weisfeiler-Leman hierarchy placement. Enables pre-training on small graphs and cost-effective readout as graphs grow.

لغة النص الأصلي: الإنجليزية

scope-qec-network-control

Syndrome-driven control plane methodology for QEC-enabled quantum networks. Routes based on logical error rate using real-time syndrome visibility instead of active tomography. Based on arXiv:2606.08873.

لغة النص الأصلي: الإنجليزية

score-hamiltonian-diffusion-transport

Score Hamiltonian methodology mapping diffusion model sampling to adiabatic transport of quantum ground states. Use when: diffusion model analysis, score-based generative modeling, quantum potential methods, density reconstruction, adiabatic quantum computing…

لغة النص الأصلي: الإنجليزية

seedless-di-qkd-extractors

Seedless randomness extractors for device-independent quantum key distribution (DI-QKD). Truncation-based proof technique achieves optimal rate of one key bit per singlet without requiring initial randomness seeds. Use when implementing DI-QKD, designing…

لغة النص الأصلي: الإنجليزية

self-sifting-qkd-protocol

Self-Sifting Quantum Key Distribution protocol using two-way entangled Bell state qubits with scrambling operator security. All sifting and eavesdropper detection postponed to Bob. Use when designing QKD protocols, quantum communication security, or analyzing…

لغة النص الأصلي: الإنجليزية

self-sifting-qkd

Self-Sifting Quantum Key Distribution methodology — a two-way QKD protocol where all sifting and eavesdropper detection are performed exclusively by the receiver, eliminating mode-dependent attack vectors and utilizing normally-discarded rounds for security…

لغة النص الأصلي: الإنجليزية

sp2n-interferometry-quantum-metrology

Sp(2N,R) interferometry methodology for multi-mode Gaussian bosonic quantum metrology — exploiting symplectic group symmetry to achieve precision beyond standard quantum limit. Covers optimal quantum control, Sp(2N,R) echo protocol, geometrical dynamics…

لغة النص الأصلي: الإنجليزية

spacetime-requirements-quantum

Spacetime Formation under Requirements framework — contextual realization and form-dependent probability for quantum cognition. Proposes quantum probability as fixed-spacetime projection of contextual spacetime formation under finite-state requirements,…

لغة النص الأصلي: الإنجليزية

sparsified-kan-quantum-tomography

Sparsified Kolmogorov-Arnold Networks (KAN) for interpretable quantum state tomography. Uses KAN not only as a regressor but as an inspectable reconstruction rule whose internal organization can be checked against known Pauli structure. Validated on 3-qubit…

لغة النص الأصلي: الإنجليزية

spatial-superposition-entanglement-generation

Methodology for generating entanglement during distribution by exploiting spatial superposition of noisy communication links — transforming quantum noise into a constructive resource

لغة النص الأصلي: الإنجليزية

spectral-quantum-thermometry-limits

Systematic framework mapping spectral structure of quantum probes to thermometric performance limits. Derives exact scaling laws for quantum Fisher information revealing two high-temperature universality classes (T^{-4} for finite-spectrum, T^{-2} for…

لغة النص الأصلي: الإنجليزية

split-ensemble-qrc-training

Split-ensemble training methodology for quantum reservoir computing that reorganizes measurement shot records to create more training examples without additional quantum hardware cost.

لغة النص الأصلي: الإنجليزية

sqnn-adversarial-robustness

Stochastic Quantum Neural Network (SQNN) adversarial robustness methodology combining decoherence-contraction theory, quantum dropout regularisation, and Lindblad master equation formulation. Use when: (1) Building adversarially robust quantum neural…

لغة النص الأصلي: الإنجليزية

sqnn-decoherence-defence

Stochastic Quantum Neural Networks (SQNNs) adversarial robustness methodology. Decoherence-contraction theorem for depolarising channels, per-gate dropout as curvature-weighted L2 penalty, and noise-as-defence framework for quantum machine learning. Use when:…

لغة النص الأصلي: الإنجليزية

structure-aware-variance-reduction-hamiltonian

Variance reduction methodology for unbiased randomized Hamiltonian simulation. Applies classical variance reduction techniques to randomized product formulas (continuous TE-PAI) without introducing bias, achieving discretization-error-free simulation with…

لغة النص الأصلي: الإنجليزية

subsystem-qec-metrology

Subsystem quantum error correction methodology for noisy quantum metrology — uses subsystem stabilizer codes to achieve Heisenberg limit with simplified protocols. Covers syndrome-free protocols with single ancilla qubit, Floquet code protection for…

لغة النص الأصلي: الإنجليزية

tensor-network-linear-algebra

Tensor network dimension reduction methodology for provably solving exponential-scale linear algebra problems including trace estimation and eigenvalue approximation at dimension up to 2^200.

لغة النص الأصلي: الإنجليزية

tensor-network-many-body-trace-norms

Tensor-network algorithm for estimating trace norms of matrix product operators (MPOs) without full diagonalization. Combines Zolotarev's rational approximation to the sign function with a variational formulation for controlled approximation of many-body…

لغة النص الأصلي: الإنجليزية

topological-subsystem-code-construction

Framework for constructing topological subsystem codes using anticommuting quantum spin liquids — extends toric code with spatial modifications creating extensive ground state degeneracy as subsystem degrees of freedom, with local gauge qubits undisturbed by…

لغة النص الأصلي: الإنجليزية

tweezer-ion-quantum-architecture

Quantum computer architecture combining trapped-ion qubits with optical tweezer reconfigurability for scalable entangling gates via Coulomb-mediated dipole interactions

لغة النص الأصلي: الإنجليزية

ultralow-loss-photonic-quantum

Ultralow-loss integrated photonic platforms for discrete-variable quantum information processing using silicon nitride (Si3N4) technology. Design methodology for high-fidelity entanglement generation and multi-photon state synthesis on manufacturable chips.

لغة النص الأصلي: الإنجليزية

unsupervised-quantum-state-identification

Unsupervised learning methodology for automated identification of nondispersive wave packets in driven quantum systems using Floquet-based probability representations.

لغة النص الأصلي: الإنجليزية

variational-annealing-quantum-combinatorial

Comparative methodology for variational and annealing-based quantum algorithms in combinatorial optimization — covering QAOA, quantum annealing, and hybrid classical-quantum approaches with performance benchmarks.

لغة النص الأصلي: الإنجليزية

witness-expansion-quantum-resource-detection

Witness Expansion framework for detecting quantum resources in mixed states using polynomial criteria

لغة النص الأصلي: الإنجليزية

observer-world-cryptography

Cryptographic extension of Impagliazzo's Five Worlds introducing the observational axis — models how restricted observation hierarchies affect cryptographic primitive existence and security guarantees.

لغة النص الأصلي: الإنجليزية

snn-topology-simulation

Topology-exploiting optimization for brain-scale spiking neural network simulations — reducing communication bottlenecks via network-aware compute node assignment and dynamic load balancing.

لغة النص الأصلي: الإنجليزية

soliton-waves-wstdp-snn

Soliton-like waves in 2D recurrent spiking neural networks with weighted STDP - biologically plausible discrete-time neuron model combining multiplicative STDP, divisive normalization, and homeostatic threshold adaptation to generate stable wave propagation.

لغة النص الأصلي: الإنجليزية

qdiffusion-time-series

Quantum generative diffusion model for time series synthesis (QDiffusion-TS). First quantum diffusion model validated on real quantum hardware (IQM processor). Replaces feed-forward components with quantum neural networks, reducing parameters by ~3 orders of…

لغة النص الأصلي: الإنجليزية

multimodal-brain-network-m3d-bfs

M3D-BFS - Multi-stage Dynamic Fusion Strategy for Sample-Adaptive Multimodal Brain Network Analysis. Proposes three fusion strategies (Weighted Sum, Gated Fusion, Cross-Attention) for integrating fMRI, DTI, and sMRI data with sample-wise attention mechanisms.

لغة النص الأصلي: الإنجليزية