Alphabeta Math
DefinitionDefinition: Literature-sourcedProof: Not applicablePipeline-generated
How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

  • Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
  • AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
  • AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

Teleportation protocol resource record

Definition

For the procedure Qubit teleportation procedure, define a protocol-specific resource record with separate coordinates as follows. A shared-pair use is one initial Bell pair supplied as an input resource; its preparation is excluded. A classical communication bit is one bit sent from Alice to Bob; the record contains two. A transmitted qubit is a qubit sent during the protocol after the shared pair is available; the record contains zero. A measurement-record bit is one of the two ordered computational-basis outcomes measured by Alice; the record contains two such bits. A local gate occurrence is counted by the size convention of Finite circuit resource accounting, namely as one gate occurrence in the declared circuit: Alice uses one CNOT and one Hadamard, and Bob uses at most two conditional Pauli gate occurrences, Xb and Za. The pair preparation is not included among those gate occurrences. This record counts the stated procedure only; it asserts no optimality or physical realization.

Depends on

Used by

Dependency tree · two levels

13 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.

Sources