Bounded definition
The cited construction gives an explicit encoding that corrects specified single-qubit errors under the paper’s model. Within this page, that proposition is limited to The models, apparatus, protocols, datasets, and comparisons reported in Scheme for reducing decoherence in quantum computer memory.
Definition and evidence boundary
Encoding and syndrome-based procedures intended to detect and correct physical errors without directly measuring the protected logical information. The bounded proposition retained by the canonical record is: The cited construction gives an explicit encoding that corrects specified single-qubit errors under the paper’s model.
The applicable scope is The models, apparatus, protocols, datasets, and comparisons reported in Scheme for reducing decoherence in quantum computer memory. This definition must not be generalized beyond the cited source and exact record boundary.
Claims: urn:maha:claim:quantum-error-correction
Mechanism and technical context
The paper gives a quantum code construction that protects encoded information against specified single-qubit errors under its model. This is the source-bound technical context for the record; no uncited mechanism is added by the compiler.
Code existence does not demonstrate a below-threshold physical implementation or net logical improvement after all operations. The mechanism or method is therefore presented as one component of a larger system, not as evidence for every downstream outcome.
Claims: urn:maha:claim:quantum-error-correction
How to interpret the evidence
No platform-independent uncertainty interval exists; numerical values remain attached to the source experiment or model and its stated assumptions. The evidence maturity recorded here is single study, and the claim kind is theoretical model.
This candidate records one bounded source package. Independent replications and contradictory measurements must be compiled as separate records before maturity is upgraded. A code construction does not establish that a physical system operates below threshold or that its full control stack satisfies fault-tolerance assumptions. These qualifications travel with the claim whenever it is reused.
Claims: urn:maha:claim:quantum-error-correction
What the source supports and what remains unknown
The inspected source supports exactly this: The paper gives a quantum code construction that protects encoded information against specified single-qubit errors under its model. It was read at Abstract; encoding construction; error-correction argument.
What remains unknown is everything outside that locator. Code existence does not demonstrate a below-threshold physical implementation or net logical improvement after all operations. No quantity, comparison, or downstream outcome is established here unless a separately scoped record measures it.
Claims: urn:maha:claim:quantum-error-correction
Source identity, locator, and reuse boundary
The bound source is “Scheme for reducing decoherence in quantum computer memory” by Peter W. Shor, published by Physical Review A, American Physical Society on 1995-10-01; its declared stable identity is doi:10.1103/PhysRevA.52.R2493.
The inspected-content locator is Abstract; encoding construction; error-correction argument. Reuse is limited to citation-with-paraphrase. Maha paraphrases the source-level result and links to the version of record; no article passage is reproduced. This metadata establishes source identity and inspection scope, not the truth of claims outside the cited locator.
Claims: urn:maha:claim:quantum-error-correction
Comparison and calculation boundary
Applicability is decided explicitly, not filled with generic material.
This record carries 1 source-bound proposition and therefore has no second supported side. A comparison would have to be manufactured from an adjacent title rather than from a second inspected claim, which the gate forbids.
The canonical claim declares no reproducible numerical inputs, equation, units, or uncertainty propagation; recorded uncertainty kind is qualitative. Supplying sample values would invent an unsupported quantitative result.
Limitations and prohibited inference
The claim stops where its evidence stops.
- record boundary
Code existence does not demonstrate a below-threshold physical implementation or net logical improvement after all operations.
- record boundary
A source-bounded mechanism, method, or measurement record does not establish manufacturing yield, economic advantage, safety, clinical benefit, or commercial readiness unless those outcomes are measured in a separately scoped record.
- prohibited inference
Do not infer general quantum-computing readiness from the quantum error correction record alone.
- prohibited inference
Do not transfer a reported result across hardware, organisms, protocols, datasets, operating conditions, or outcome definitions without a declared comparison contract.
- editorial
This compilation reorganizes an existing inspected claim and its declared source; it does not add a new experiment, measurement, or independent replication.
- editorial
Internal editorial inspection is not external peer review, and no result on this page has been independently reproduced.
Related records and mathematical bridges
Typed links expose context without asserting equivalence.
Error mitigation versus error correction
Declared strategic-dependency edge into this record, so it is positioned earlier in the same bounded sequence.
Selection: bridge edge
Physical and logical qubits
Declared mechanistic-dependency edge from this record. The edge is navigational and asserts no equivalence or causation beyond the cited source scope.
Selection: bridge edge
Surface-code error correction
Declared mechanistic-dependency edge from this record. The edge is navigational and asserts no equivalence or causation beyond the cited source scope.
Selection: bridge edge
When no declared bridge edge is present, related records are linked by shared evidence or canonical domain adjacency. Those links are navigational and do not claim mathematical or physical equivalence.
Connected domain graph
Typed dependencies preserve publication state.
Only independently canonical records receive public links and relation statements. Draft graph topology remains private.
Physical and logical qubits
inbound connection · comparison
Logical qubits are defined through an encoding and active error-correction procedure.
Physical and logical qubits
outbound connection · comparison
Error correction creates and maintains the physical-to-logical distinction.
Surface-code error correction
outbound connection · method
The surface code is one architecture-specific error-correction family.
Surface-code error correction
inbound connection · method
Surface codes instantiate quantum error correction under a specific local-check architecture.
Error mitigation versus error correction
inbound connection · comparison
Correction uses encoded redundancy and syndrome processing rather than only estimator reconstruction.
Claim ledger
Every proposition keeps its own evidence state.
The cited construction gives an explicit encoding that corrects specified single-qubit errors under the paper’s model.
- Scope
- The models, apparatus, protocols, datasets, and comparisons reported in Scheme for reducing decoherence in quantum computer memory.
- Boundary
- Code existence does not demonstrate a below-threshold physical implementation or net logical improvement after all operations.
- Uncertainty
- No platform-independent uncertainty interval exists; numerical values remain attached to the source experiment or model and its stated assumptions.
- Replication
- This candidate records one bounded source package. Independent replications and contradictory measurements must be compiled as separate records before maturity is upgraded.
Primary sources
Citation, locator, rights, and boundary travel together.
Source 1 · Physical Review A, American Physical Society
Scheme for reducing decoherence in quantum computer memory
Peter W. Shor
- Exact locator
- Abstract; encoding construction; error-correction argument.
- Establishes
- The paper gives a quantum code construction that protects encoded information against specified single-qubit errors under its model.
- Boundary
- A code construction does not establish that a physical system operates below threshold or that its full control stack satisfies fault-tolerance assumptions.
- Rights basis
- citation with paraphrase · Maha paraphrases the source-level result and links to the version of record; no article passage is reproduced.