hiyenwong/ai_collection - Page 72

digital-quantum-reservoir-computing-finance

Digital quantum reservoir computing (QRC) methodology for financial time series forecasting on NISQ devices. Uses parametrized multi-qubit reservoirs with fixed structure for temporal data processing.

entanglement-manipulation-robustness

Robustness of Entanglement Manipulation for almost i.i.d. sources - methodology for quant-ph applications

entanglement-robustness-bounds

Information-geometric methodology for computing bounds on the robustness of entanglement generation under noise and imperfect control.

gaussian-exponential-zero-noise-extrapolation

Hybrid Gaussian-exponential zero-noise extrapolation methodology for periodic quantum circuits — combines Gaussian and exponential error models for more accurate expectation value estimation in NISQ-era quantum computing.

geometric-typicality-entanglement

Exact geometric typicality and bipartite entanglement methodology using projected central limit theorem on hyperspheres. Derives Beta distribution for subsystem occupation, Lubkin purity formula, and Bernoulli-factorized asymptotic expansion of mutual…

higher-order-quantum-optimization-finance

Higher-order binary optimization (HOBO) methodology for legally-constrained financial optimization problems. Applied to collateral allocation with CSA eligibility, margin requirements, and concentration limits.

hybrid-qnz-zero-noise-extrapolation

Hybrid Gaussian-exponential zero-noise extrapolation methodology for periodic quantum circuits. Uses CLT on Pauli operator transfer to model noise amplification as log-normal, augmenting standard exponential model with Gaussian variance corrections.…

inverted-harmonic-oscillator-quantum-probing

Experimental probing of inverted harmonic oscillator quantum dynamics using ultracold atoms. Use when studying unstable quantum dynamics, quantum squeezing, time-reversal coherence, Wigner function tomography, or quantum simulation of inflationary field…

low-rank-hessian-quantum-gate-calibration

Low-rank Hessian optimization methodology for calibrating high-dimensional optimal-control quantum gates. Identifies principal waveform directions affecting fidelity using Hessian sensitivity analysis, enabling efficient closed-loop experimental feedback…

monitored-chaotic-scattering-rmt

Monitored chaotic scattering methodology extending random matrix theory (RMT) of chaotic scattering to quantum dots with time-resolved measurements. Constructs Kraus operator ensembles from circular ensembles, derives discrete-time quantum master equations…

multiple-quantum-hypothesis-testing

Dimension-free one-shot bounds for multiple quantum state discrimination with sharp asymptotics

naimark-qnn-measurement-circuits

Quantum measurement circuit design comparing Naimark extension, hybrid Naimark-QNN, and fully QNN approaches for optimal state discrimination with fewer training iterations.

no-go-gaussian-quantum-repeaters

No-go theorem for Gaussian quantum repeaters — proves that Gaussian operations with homodyne measurements and classical communication cannot enhance quantum capacity of pure-loss channels beyond direct transmission, using fractional extendibility framework.

non-gibbs-quantum-stats

Analysis of non-Gibbs quantum states in strongly interacting open quantum systems. Covers Redfield master equation, non-secular terms, bath-induced coherences, and conditions for deviation from Boltzmann thermal equilibrium. Based on arXiv:2606.00239.

penalty-free-quantum-optimization

Penalty-free quantum optimization methodology — replacing quadratic penalty terms in QAOA/quantum annealing with conflict graph reformulation and independent set mixers. Maps constrained combinatorial problems to maximum independent set (MIS) on conflict…

physics-informed-qaoa-electromagnetics

Physics-Informed QAOA methodology for electromagnetic optimization, embedding mutual coupling into QUBO formulations for Reconfigurable Intelligent Surfaces (RIS). Covers Ising interaction model selection, NISQ hardware feasibility tradeoffs, and sparse…

qaoa-manifold-optimization

Riemannian manifold optimization techniques for enhancing QAOA performance on NISQ devices. Leverages intrinsic geometric structure to address nonconvexity of QAOA objective function and overcome challenges with traditional gradient descent optimizers. Use…

qfi-entanglement-robustness

Information-geometric framework for analyzing entanglement robustness using quantum Fisher information (QFI). Establishes bounds on concurrence reduction caused by parameter uncertainty in entanglement generation. Use when analyzing quantum entanglement…

qldpc-breakeven-demo

Breakeven demonstration methodology for quantum low-density parity-check (qLDPC) codes on trapped-ion quantum computers. Design, implement, and benchmark qLDPC error correction with OMG architecture for mid-circuit measurement and reset.

qldpc-breakeven-evaluation

Evaluation framework for quantum LDPC codes demonstrating breakeven performance across code families on trapped-ion hardware.

qml-feature-encoding

Quantum Machine Learning feature encoding methodology — three-axis cost-expressivity-robustness taxonomy, depth-fidelity bounds under NISQ decoherence, unified trainability analysis, and five-regime decision framework for selecting encoding strategies on real…

quantum-analogue-cloud-formalism

Quantum-analogue cloud-function formalism for modeling supraliminal information processing in large-scale brain networks. Combines neural field theory with Schrodinger-type equations for modeling conscious perception and decision-making phenomena like…

quantum-bayesian-game-equilibrium

Parameterized quantum circuit methodology for computing correlated equilibrium in Bayesian games. Addresses exponential growth in joint type-action space with quantum advantage.

quantum-classical-equivalence

Methodology for analyzing quantum-classical equivalence in communication complexity, particularly for total Boolean functions and AND-functions.

quantum-discord-behavioral-games

Methodology for quantum game theory using quantum discord as minimal resource for extending bounded rationality. Shows discord (without entanglement) enables behavioral strategies to substitute for strategic memory in extensive-form games with imperfect…

quantum-economic-advantage-calculator

Framework for calculating quantum economic advantage timing — determines when quantum systems outperform classical computers on cost-equivalent basis for specific algorithms, incorporating error correction overhead, gate speeds, connectivity, and hardware…

quantum-element-wise-transforms

Quantum algorithm methodology for element-wise polynomial transforms with exponential space reduction.

quantum-entanglement-capacity-gains

Quantum entanglement assistance for exponential capacity gains in classical multiple access channels with causal CSIT

quantum-entanglement-mac-capacity

Quantum entanglement-assisted Shannon capacity methodology for classical multiple access channels (MAC) with causal CSIT. Demonstrates exponential and unbounded robust capacity gains via shared entanglement between transmitters. Applicable to quantum-enhanced…

quantum-entanglement-shannon-capacity

Methodology for analyzing exponential and unbounded Shannon capacity gains in classical multiple access channels via quantum entanglement assistance with causal channel state information at transmitters.

quantum-finance-stack-analysis

Financial computation stack framework for evaluating quantum advantage across five finance domains: portfolio optimisation, derivative pricing, risk estimation, quantum ML, and post-quantum security. Provides structured methodology for assessing when quantum…

quantum-fisher-view-ml

QUIVER methodology — enriching classical ML features with quantum Fisher information views from variational quantum circuits. Combines quantum geometry with classical ML for enhanced representations without fault-tolerant hardware. Also covers Hamming quantum…

quantum-geometry-oracles

Efficient geometry oracle design for quantum algorithms simulating structured materials. Identifies when quantum oracles for exponentially many geometric features can be implemented via polynomial-size circuits using pseudorandom local texture structures.…

quantum-hamiltonian-learning-long-times

Hamiltonian learning methodology from single time evolution at arbitrarily long times. Covers local Hamiltonian families, normalization conditions, and probabilistic learning guarantees.

quantum-isogeny-sampling

Quantum polynomial-time sampling of secure supersingular elliptic curves with unknown endomorphism rings — foundational methodology for isogeny-based cryptography instantiation without trusted setup.

quantum-ldpc-breakeven

Breakeven demonstration methodology for quantum low-density parity-check (qLDPC) codes on trapped-ion hardware.

quantum-machine-learning-model-finance

Quantum Machine Learning Model for Finance

quantum-native-database

Quantum-native database design methodology (Qute framework) treating quantum computation as first-class execution. SQL-to-quantum-circuit compilation, hybrid quantum-classical query optimization, selective quantum indexing, and fidelity-preserving storage.…

quantum-optimal-transport-entanglement

Bipartite entanglement measurement via minimal quantum Wasserstein distance to separable states — Lipschitz dual formulation, entanglement witness connection, and experimental detection framework.

quantum-privacy-utility-tradeoff

Privacy-utility tradeoff methodology for quantum information processing and quantum differential privacy. Studies optimal tradeoffs between privacy guarantees and learning utility in quantum settings. Use when analyzing quantum differential privacy, designing…