What is recorded here?
The paper claims constant-depth circuits with arbitrary one-qubit and unbounded-arity Toffoli gates, polynomially many zero-initialized qubits, cannot compute parity with any fixed positive worst-case advantage. Reported result; not independently verified by WRS. Ranked using a provisional grade and reference estimate for the exact claimed result.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
There is no primitive unbounded fanout, postselection or intermediate measurement in the selected model. Arbitrary final garbage is permitted. The theorem is not a lower bound for every quantum circuit class. WRS inspected the selected opening statement and available scope note, not the full proof; independent formal replay was not run.
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People and systems
OpenAI organizational byline; individual human preparation and verification roles incompletely disclosed The recorded author list is incomplete.
OpenAI research model · OpenAI · Unreleased internal frontier model; exact identifier not disclosed
Source-reported mathematical argument generation. Source-reported attribution; provider attestation is unavailable.
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English catalogue narrative
OpenAI: A measured-output quantum parity lower bound
The paper claims constant-depth circuits with arbitrary one-qubit and unbounded-arity Toffoli gates, polynomially many zero-initialized qubits, cannot compute parity with any fixed positive worst-case advantage. Reported result; not independently verified by WRS. Ranked using a provisional grade and reference estimate for the exact claimed result.
Scientific scope
There is no primitive unbounded fanout, postselection or intermediate measurement in the selected model. Arbitrary final garbage is permitted. The theorem is not a lower bound for every quantum circuit class. WRS inspected the selected opening statement and available scope note, not the full proof; independent formal replay was not run.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
OpenAI organizational byline; individual human preparation and verification roles incompletely disclosed
OpenAI research model / OpenAI / Unreleased internal frontier model; exact identifier not disclosed: Source-reported mathematical argument generation (source reported).