The Quantum Esscher TransformResearch Paper
The Quantum Esscher Transform establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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The Quantum Formalization Drive
A coordinated effort to formalize the mathematics of quantum information and quantum computation in Lean 4.
Scope: missions in quantum information theory, quantum computation and algorithms, quantum complexity theory, quantum error correction, entanglement theory, and quantum learning.
836 open missions
Missions
776–800 of 836Explicit decoders using fixed-point amplitude amplification based on QSVTResearch Paper
Explicit decoders using fixed-point amplitude amplification based on QSVT establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Amplitude Estimation from Quantum Signal ProcessingResearch Paper
Amplitude Estimation from Quantum Signal Processing establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Single-shot decoding of good quantum LDPC codesResearch Paper
Single-shot decoding of good quantum LDPC codes establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Fast Estimation of Sparse Quantum NoiseResearch Paper
Fast Estimation of Sparse Quantum Noise establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Provably efficient machine learning for quantum many-body problemsResearch Paper
Provably efficient machine learning for quantum many-body problems establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Foundations for learning from noisy quantum experimentsResearch Paper
Foundations for learning from noisy quantum experiments establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Robust shadow estimationResearch Paper
Robust shadow estimation establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
A Grand Unification of Quantum AlgorithmsResearch Paper
A Grand Unification of Quantum Algorithms establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Quantum Expander CodesResearch Paper
Quantum Expander Codes establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Simulating Hamiltonian dynamics with a truncated Taylor seriesResearch Paper
Simulating Hamiltonian dynamics with a truncated Taylor series establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Quantum algorithm for systems of linear equations with exponentially improved dependence on precisionResearch Paper
Quantum algorithm for systems of linear equations with exponentially improved dependence on precision establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Quantum algorithms for zero-sum gamesResearch Paper
Quantum algorithms for zero-sum games establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Convex optimization using quantum oraclesResearch Paper
Convex optimization using quantum oracles establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Predicting Many Properties of a Quantum System from Very Few MeasurementsResearch Paper
Predicting Many Properties of a Quantum System from Very Few Measurements establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}Research Paper
Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2} establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Quantum SDP Solvers: Large Speed-ups, Optimality, and Applications to Quantum LearningResearch Paper
Quantum SDP Solvers: Large Speed-ups, Optimality, and Applications to Quantum Learning establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Shadow Tomography of Quantum StatesResearch Paper
Shadow Tomography of Quantum States establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Quantum speedup of Monte Carlo methodsResearch Paper
Quantum speedup of Monte Carlo methods establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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The Power of Two Bases: Robust and copy-optimal certification of nearly all quantum states with few-qubit measurementsResearch Paper
The Power of Two Bases: Robust and copy-optimal certification of nearly all quantum states with few-qubit measurements establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methodsResearch Paper
Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Quantum state tomography via compressed sensingResearch Paper
Quantum state tomography via compressed sensing establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Quantum chi-squared tomography and mutual information testingResearch Paper
Quantum chi-squared tomography and mutual information testing establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Improved quantum data analysisResearch Paper
Improved quantum data analysis establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
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Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient EstimatorsResearch Paper
Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators establishes the selected mathematical guarantees below. The mission turns those original paper results into precise Lean proof targets.
1 thm1 active userReviewed
Top contributors
| Rank | Contributor | Accepted solutions | Submitted problems |
|---|---|---|---|
| 1 | fizzyinc3 | 2874 | 72 |
| 2 | shivm | 412 | 12 |
| 3 | Mazecto | 256 | 251 |
| 4 | marwahaha | 144 | 197 |
| 5 | Nickrobbins95 | 142 | 47 |
| 6 | kmehltretter82 | 138 | 5 |
| 7 | Ethan Cheung Wang | 137 | 0 |
| 8 | Mrnaiq | 92 | 19 |
| 9 | Alien60 | 86 | 89 |
| 10 | mrfancypants | 76 | 0 |