hiyenwong/ai_collection - Page 68

quantum-capacity-symmetry

Quantum capacity threshold optimization using representation-theoretic symmetry methods for depolarizing and Pauli channels.

quantum-classical-shadow-estimation

Classical Shadow Estimation of Unitary Channels (CSEU) — Heisenberg-limited prediction of quantum evolution properties without full tomography.

quantum-conditional-mutual-information-channel-capacity

Quantum conditional mutual information (QCMI) and channel capacity methodology — establishes operational meaning of QCMI through conditional quantum communication task, proving optimal rate for establishing quantum correlation equals half the QCMI.

quantum-crypto-investment-risk

Quantum computing risk assessment framework for cryptocurrency investments - Monte-Carlo forecasting of quantum threat timelines, exposure analysis, and post-quantum migration pathways

quantum-cut-sparsification

Hamiltonian sparsification methodology for Quantum Cut (QC) Hamiltonians. Achieves O(n) term sparsification in n-qubit systems while preserving energy of every state. Uses invariant subspace decomposition and expander graph techniques.

quantum-cut-sparsifiers

Hamiltonian sparsification methodology showing any n-qubit Quantum Cut Hamiltonian can be sparsified to O~(n/eps^2) terms while preserving energy using invariant subspace decomposition.

quantum-data-reuploading-approximation

Quantum data re-uploading circuit approximation methodology — analyzing the depth-error tradeoff between tunable and fixed encoding circuits, and establishing polylogarithmic depth recovery of expressivity.

quantum-decentralized-ai-economy

Framework for building decentralized AI economies with proof-of-useful-work consensus and post-quantum security guarantees.

quantum-diffusion-time-series-generation

Quantum generative diffusion model for real-world time series (QDiffusion-TS) - replaces feed-forward layers in diffusion transformers with QNNs, achieves ~1000x parameter reduction, 44% better Wasserstein distance, 71% forecasting improvement

quantum-ergodicity-semiclassical

Mathematical framework for quantum ergodicity and semiclassical measures. Covers high-frequency eigenmodes of the Laplacian on chaotic manifolds, the Quantum Ergodicity theorem (Schnirelman), Quantum Unique Ergodicity conjecture, and Kolmogorov-Sinai entropy…

quantum-fidelity-reference-state-estimation

Quantum state fidelity estimation methodology — sample-optimal algorithms for estimating fidelity between unknown and reference quantum states, with applications to tolerant quantum state certification and query complexity lower bounds.

quantum-finance-computation-stack

Unified financial computation stack framework for quantum computing in finance. Combines five layers: portfolio optimization (QUBO/QAOA/warm-start), derivative pricing (amplitude estimation), tail-risk analysis, quantum ML (QNN/QRC), and post-quantum…

quantum-finance-hybrid-workflow

Design and evaluate hybrid quantum-classical financial workflows across portfolio optimisation, derivative pricing, risk estimation, and post-quantum security. Applies four-step evaluative logic: identify bottleneck → specify quantum primitive → compare…

quantum-finance-pipeline

Hardware-aware quantum portfolio optimization pipeline pattern. Combines correlation-guided decomposition, constraint-aware QAOA mixers, and non-variational quantum optimization for large-scale financial problems.

quantum-frequent-itemset-mining

QuantumFreqMine (QFM) methodology for frequent itemset mining using quantum computing — bit-vector qubit encoding, mining-aware candidate superposition, and bit-parallel threshold marking.

quantum-group-codes-non-clifford

Quantum group codes for non-Clifford logic — CSS codes with addressable and parallelizable transversal multi-control-Z gates, quasi-quadratic time decoder from AG code lifting. Reduces magic-state distillation complexity by almost linear factor.

quantum-info-qkd-security

Quantum key distribution security protocols and information-theoretic security guarantees

quantum-informed-chaos-ml

Apply quantum statistical features and quantum-inspired methods to machine learning for predicting chaotic dynamical systems. Uses higher-order quantum statistical features to capture complex correlations in chaotic data. Use when: forecasting chaotic time…

quantum-latent-gan-benchmark

Controlled benchmark methodology for evaluating quantum vs classical generative augmentation in medical imaging

quantum-limited-subdiffraction-telescopy

Quantum-limited subdiffraction telescopy using genuine multi-telescope interference. Proves pairwise measurements insufficient for higher-order image moment estimation at quantum limit. Constructs array-SPADE measurements attaining optimal QFI scaling up to…

quantum-locc-graph-theory

Graph theory methodology for analyzing local distinguishability of quantum product states under LOCC protocols — identifying graph classes that guarantee or prevent local distinguishability.

quantum-logic-codes-transversal-clifford

Quantum Logic Codes methodology — high-rate non-LDPC CSS codes with complete depth-one/constant-depth transversal logical Clifford ISA. Constructs [[n,sqrt(n),Theta(n^beta)]] code families (beta~0.2823) possessing individually targeted S-bar, sqrt(X)-bar, and…

quantum-maxcut-rydberg-approximation

Hybrid approximation algorithm for Quantum Max Cut using Rydberg atom dynamics combined with semidefinite programming and randomized rounding, achieving 0.651 approximation ratio.

quantum-medical-image-encoding

Quantum image encoding and compression methodology for medical imaging using Fourier-based methods. Reduces quantum gate requirements by factor of 4+ compared to existing approaches. Based on arXiv:2505.06471

quantum-ml-data-loading-vae

Variational autoencoder framework for learning task-specific quantum embeddings of classical data, compressing high-dimensional datasets into qubit representations with polynomial-measurement recovery.

quantum-mpemba-symmetry-restoration

Quantum Mpemba effect methodology for symmetry restoration in fragmented Hilbert spaces. Covers higher-order symmetric quantum Mpemba effect where quantum systems restore broken symmetry faster the more strongly it's initially broken. Uses replica…

quantum-network-osi-stack

Quantum-Converged OSI stack architecture — extending classical OSI with Layer 0 (Quantum Substrate) and Layer 8 (Cognitive Intent) for 7G quantum networks. Covers entanglement, teleportation, QKD, QEC, PQC, RIS, and semantic orchestration via LLMs and QML.

quantum-nisq-resilience-benchmark

NISQ时代量子算法鲁棒性基准测试方法论。核心发现：表达力-相干性权衡(expressibility-coherence trade-off)、SWAP税分析、HE-VQNN vs WS-QAOA硬件效率对比。适用于量子组合优化硬件评估、NISQ设备选型、金融量子算法部署决策。arXiv: 2606.07727

Source text: Chinese

quantum-nlqc-reductions

Non-local quantum computation (NLQC) reduction methodology for analyzing task equivalence, position-verification security, and entanglement cost scaling across quantum communication protocols.

quantum-occam-learning

Quantum Occam Learning methodology — information-theoretic framework for balancing expressibility and learnability in circuit-based quantum machine learning. Use when designing quantum neural network ansätze, choosing quantum data encoding circuits, or…

quantum-on-hardware-qnn-training

Scalable on-hardware quantum neural network training methodology using Butterfly circuits, layer-wise optimization, and parallelized parameter-shift rules. Reduces gradient estimation cost from O(n²) to O(log n).

quantum-pde-option-pricing

End-to-end quantum PDE framework for derivative pricing. Use when: designing quantum algorithms for option pricing, solving high-dimensional financial PDEs on quantum hardware, comparing quantum vs classical pricing complexity, implementing Black-Scholes or…

quantum-priors-chaos-prediction

Quantum statistical prior (Q-Prior) methodology for chaotic dynamical systems — k-indexed higher-order quantum priors storing non-factorisable spatial correlations on n_q qubits, with two-stage quantum advantage via superposition/entanglement representation…

quantum-resilient-decentralized-ai-economy

Three-layer decentralized AI economy architecture replacing proof-of-work with useful ML work, with post-quantum security analysis and economic coordination mechanisms

quantum-ring-allreduce

Quantum Ring All-Reduce methodology for distributed learning — reduces per-link communication by 2x using superdense coding, enables information-theoretically private aggregation via verified entanglement, and achieves exponential communication separation for…

quantum-rl-scuc-qsample

Hybrid quantum-classical reinforcement learning for Security-Constrained Unit Commitment (SCUC). Uses Bernoulli hybrid soft actor-critic (HSAC) with quantum-sampled feature augmentation for economic dispatch in power systems. Activation: quantum RL SCUC, unit…

quantum-stationary-point-finding

Quantum comparison oracle methodology for finding stationary points of non-convex functions with quadratic speedup — O~(n/epsilon^1.5) quantum vs O~(n^2/epsilon^1.5) classical queries. ICML 2026 paper by Wang et al.

quantum-stochastic-walk-portfolio

Quantum Stochastic Walk (QSW) optimizer for portfolio optimization — embeds assets in weighted covariance graph, derives weights from walk stationary distribution, achieving 15% Sharpe improvement and 90% turnover reduction vs classical mean-variance.

quantum-temporal-equity-prediction

Quantum Temporal Convolutional Neural Network (QTCNN) methodology for cross-sectional equity return prediction combining classical temporal encoders with quantum convolution circuits.

quantum-tomography-retrodiction

Methodology connecting quantum state tomography and quantum retrodiction through the Petz recovery map. Shows Petz map is precisely the gradient update of log-likelihood in maximum-likelihood tomography. Includes noncommutative generalization for arbitrary…