The Learnability of Quantum States
E1002078
"The Learnability of Quantum States" is a research paper by Scott Aaronson that investigates under what conditions quantum states can be efficiently learned or approximated from measurement data within the framework of computational learning theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| The Learnability of Quantum States canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12797751 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: The Learnability of Quantum States Context triple: [Scott Aaronson, notableWork, The Learnability of Quantum States]
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A.
Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels
"Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels" is the landmark 1993 paper that first proposed the protocol of quantum teleportation, showing how to transfer an unknown quantum state using shared entanglement and classical communication.
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B.
Quantum Geographic Information System
Quantum Geographic Information System is an open-source, cross-platform geographic information system application used for viewing, editing, and analyzing geospatial data.
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C.
Flavors of Entanglement
Flavors of Entanglement is a studio album by Canadian singer-songwriter Alanis Morissette that blends alternative rock with electronic influences and introspective lyrics.
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D.
Frauchiger–Renner paradox
The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
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E.
"Relative State" Formulation of Quantum Mechanics
The "Relative State" Formulation of Quantum Mechanics is Hugh Everett III’s many-worlds interpretation, proposing that all possible outcomes of quantum measurements actually occur in a vast, branching multiverse without wavefunction collapse.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: The Learnability of Quantum States Target entity description: "The Learnability of Quantum States" is a research paper by Scott Aaronson that investigates under what conditions quantum states can be efficiently learned or approximated from measurement data within the framework of computational learning theory.
-
A.
Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels
"Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels" is the landmark 1993 paper that first proposed the protocol of quantum teleportation, showing how to transfer an unknown quantum state using shared entanglement and classical communication.
-
B.
Quantum Geographic Information System
Quantum Geographic Information System is an open-source, cross-platform geographic information system application used for viewing, editing, and analyzing geospatial data.
-
C.
Flavors of Entanglement
Flavors of Entanglement is a studio album by Canadian singer-songwriter Alanis Morissette that blends alternative rock with electronic influences and introspective lyrics.
-
D.
Frauchiger–Renner paradox
The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
-
E.
"Relative State" Formulation of Quantum Mechanics
The "Relative State" Formulation of Quantum Mechanics is Hugh Everett III’s many-worlds interpretation, proposing that all possible outcomes of quantum measurements actually occur in a vast, branching multiverse without wavefunction collapse.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
research paper
ⓘ
scientific publication ⓘ |
| analyzes |
learnability of mixed quantum states
ⓘ
learnability of pure quantum states ⓘ number of measurements needed to learn a quantum state ⓘ tradeoff between accuracy and number of measurements ⓘ |
| assumes |
ability to perform measurements on quantum states
ⓘ
access to copies of an unknown quantum state ⓘ |
| author | Scott Aaronson ⓘ |
| contributesTo |
complexity-theoretic limits on quantum information extraction
ⓘ
foundations of quantum machine learning ⓘ theory of quantum state learning ⓘ understanding of quantum tomography efficiency ⓘ |
| field |
computational learning theory
ⓘ
quantum computing ⓘ quantum information theory ⓘ |
| focusesOn |
approximating quantum states from measurement outcomes
ⓘ
conditions under which quantum states can be efficiently learned ⓘ learning quantum states with limited measurements ⓘ |
| hasAuthorAffiliation | Massachusetts Institute of Technology ⓘ |
| hasDiscipline |
physics
ⓘ
theoretical computer science ⓘ |
| hasFormat | academic article ⓘ |
| hasKeyConcept |
approximation of high-dimensional quantum states
ⓘ
efficient learnability ⓘ generalization from measurement data ⓘ measurement complexity ⓘ |
| language | English ⓘ |
| proposes |
bounds on sample complexity for learning quantum states
ⓘ
formal definitions of learning quantum states ⓘ |
| relatedTo |
classical learnability theory
ⓘ
quantum algorithms ⓘ quantum communication complexity ⓘ quantum information compression ⓘ quantum machine learning ⓘ |
| topic |
PAC learning
ⓘ
computational complexity of learning ⓘ efficient approximation of quantum states ⓘ information-theoretic limits ⓘ learnability of quantum states ⓘ measurement data ⓘ quantum state tomography ⓘ sample complexity ⓘ |
| usesFramework |
Probably Approximately Correct learning
ⓘ
computational learning theory ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: The Learnability of Quantum States Description of subject: "The Learnability of Quantum States" is a research paper by Scott Aaronson that investigates under what conditions quantum states can be efficiently learned or approximated from measurement data within the framework of computational learning theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.