Oracle Distillation

arXiv:2609.31596 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Distillation — 114× in this paper · explained in 2 episodes
• Query Complexity — 88× in this paper · explained in 2 episodes
• Aggregation — 49× in this paper · explained in 1 episode
• Trace — 26× in this paper · explained in 2 episodes
• Adversarial Noise — 24× in this paper · explained in 1 episode
• Ancilla Qubits — 14× in this paper · explained in 1 episode
• Fidelity — 8× in this paper · explained in 2 episodes
• Trace Distance — 7× in this paper · explained in 3 episodes
• Heisenberg Scaling — 5× in this paper · explained in 4 episodes
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Annual Symposium on Foundations of Computer Science — 4× in this paper
• No-Go Theorem — 3× in this paper · explained in 2 episodes
• Verification — 3× in this paper · explained in 2 episodes
• AGN — 2× in this paper · explained in 1 episode
• Entanglement — 2× in this paper · explained in 4 episodes
• Abstraction — 1× in this paper · explained in 1 episode
• Decode — 1× in this paper · explained in 2 episodes
• Entanglement Distillation — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Addendum to "Quantum Search with Noisy Oracle"
• Quantum Search with Noisy Oracle
• Quantum Computing Enhanced Sensing
• Optimal Quantum Purity Amplification
• On K-wise Independent Distributions and Boolean Functions
• On Krawtchouk polynomials
• Lindbladian Simulation with Commutator Bounds
• Quantum channel tomography: optimal bounds and a Heisenberg-to-classical phase transition
• Optimal learning of quantum channels in diamond distance
• Distilling Qubit Unitary Operations: A No-Go Theorem and Minimal Realization
• Scaling-optimal purification of noisy qubit unitary channels
• Quantum Advantage with Faulty Oracle
• Amplitude amplification and estimation require inverses
• Fault-tolerant quantum input/output
• Achieving the Heisenberg limit using fault-tolerant quantum error correction
• Fault-Tolerant Heisenberg-Limited Quantum Sensing
• A new quantum ripple-carry addition circuit

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• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
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• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity