The Complexity of Quantum States and Transformations
E1002080
"The Complexity of Quantum States and Transformations" is a highly cited research paper by Scott Aaronson that investigates the computational complexity and limitations of describing, preparing, and manipulating quantum states and operations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| The Complexity of Quantum States and Transformations canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12797753 — 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.
Target entity: The Complexity of Quantum States and Transformations Context triple: [Scott Aaronson, notableWork, The Complexity of Quantum States and Transformations]
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A.
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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B.
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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C.
Born rule in quantum mechanics
The Born rule in quantum mechanics is the fundamental postulate that connects a system’s wavefunction to experimentally observed probabilities by stating that measurement outcomes occur with probabilities given by the squared magnitude of the wavefunction’s amplitudes.
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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.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: The Complexity of Quantum States and Transformations Target entity description: "The Complexity of Quantum States and Transformations" is a highly cited research paper by Scott Aaronson that investigates the computational complexity and limitations of describing, preparing, and manipulating quantum states and operations.
-
A.
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.
-
B.
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.
-
C.
Born rule in quantum mechanics
The Born rule in quantum mechanics is the fundamental postulate that connects a system’s wavefunction to experimentally observed probabilities by stating that measurement outcomes occur with probabilities given by the squared magnitude of the wavefunction’s amplitudes.
-
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.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
computer science paper
ⓘ
quantum computing paper ⓘ research paper ⓘ scientific article ⓘ |
| areaOfInfluence |
complexity-theoretic limits of quantum computers
ⓘ
foundations of quantum mechanics ⓘ quantum information theory ⓘ |
| author | Scott Aaronson NERFINISHED ⓘ |
| citedByField |
complexity theory
ⓘ
quantum algorithms ⓘ quantum information science ⓘ |
| contribution |
analyzes the hardness of simulating generic quantum states
ⓘ
formalizes notions of complexity for quantum operations ⓘ formalizes notions of complexity for quantum states ⓘ relates quantum state complexity to classical complexity classes ⓘ studies limitations on efficient preparation of quantum states ⓘ studies limitations on succinct classical descriptions of quantum states ⓘ |
| examines |
generic properties of random quantum states from a complexity perspective
ⓘ
tradeoffs between description length and computational power for quantum states ⓘ |
| field |
computational complexity theory
ⓘ
quantum computing ⓘ theoretical computer science ⓘ |
| focusesOn |
describing quantum states
ⓘ
describing quantum transformations ⓘ manipulating quantum states ⓘ manipulating quantum transformations ⓘ preparing quantum states ⓘ preparing quantum transformations ⓘ |
| hasProperty |
highly cited
ⓘ
influential in quantum complexity theory ⓘ |
| language | English ⓘ |
| studies |
circuit complexity of quantum state preparation
ⓘ
complexity of implementing quantum transformations ⓘ succinct representations of quantum states ⓘ |
| topic |
computational complexity of quantum operations
ⓘ
computational complexity of quantum states ⓘ descriptional complexity ⓘ limitations of quantum computation ⓘ quantum states ⓘ quantum transformations ⓘ state preparation complexity ⓘ |
| usedIn |
research on classical simulation of quantum systems
ⓘ
research on quantum advice and quantum proofs ⓘ research on quantum circuit lower bounds ⓘ |
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.
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.
Subject: The Complexity of Quantum States and Transformations Description of subject: "The Complexity of Quantum States and Transformations" is a highly cited research paper by Scott Aaronson that investigates the computational complexity and limitations of describing, preparing, and manipulating quantum states and operations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.