On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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5 results for “T-gate”

A single

T

-gate makes distribution learning hardquant-ph

Single T-gate makes distribution learning hard for deep circuits.

problem Learning probability distributions from quantum circuits.

method Characterization of learnability and simulatability of quantum circuit outputs.

result Injection of a single T-gate into depth n^Ω(1) circuits makes distribution learning hard.

quantum circuits distribution learning T-gate clifford circuits quantum advantage

2022-07-07abs ↗pdf ↗

Derivative Pricing using Quantum Signal Processingquant-ph

Quantum Signal Processing reduces derivative pricing quantum resource requirements.

problem Efficiently pricing financial derivatives on quantum computers.

method Quantum Signal Processing (QSP) to encode payoffs directly into quantum amplitudes.

result Significantly reduces quantum resources (T-gates and qubits) for practical derivative contracts.

Quantum Signal Processing Financial Derivatives Quantum Computing Quantum Advantage Derivative Pricing

2023-07-26abs ↗pdf ↗

Effects of quantum resources on the statistical complexity of quantum circuitsquant-ph

The study examines how quantum resources enhance the complexity of quantum circuits.

problem Quantum resource enhancement on circuit complexity.

method Utilizing quantum resource theories, the study analyzes statistical complexities of quantum circuits with limited quantum resources.

result Bounds for statistical complexities of quantum circuits are derived and applied to specific cases.

quantum resources statistical complexity quantum circuits resource theories learning theory

2021-02-05abs ↗pdf ↗

Generalization in quantum machine learning from few training dataquant-ph

Quantum machine learning generalizes well from limited data.

problem Generalization in quantum machine learning from few training data.

method Optimizing parameterized quantum circuits on training data sets and analyzing generalization error.

result Generalization error scales at worst as √(T/N) and improves to √(K/N) when only K gates change.

quantum machine learning generalization limited data quantum circuits error analysis

2021-11-09abs ↗pdf ↗

Non-Clifford and parallelizable fault-tolerant logical gates on constant and almost-constant rate homological quantum LDPC codes via higher symmetriesquant-ph

New fault-tolerant quantum gates for homological LDPC codes with constant or almost-constant rate.

problem Fault-tolerant quantum computing for homological LDPC codes with constant or almost-constant encoding rate.

method Derive generic formula for transversal and logical gates acting on 3-manifolds, using higher symmetries and cup product cohomology.

result Parallelizable logical gates for homological LDPC codes with constant or almost-constant rate.

quantum computing homological LDPC codes fault-tolerant parallelizable gates 3-manifolds

2023-10-25abs ↗pdf ↗