Quantum / CONCEPT
A reference preserves CCZ magic beyond one third
The noisy CCZ gate preserves magic with a reference at depolarizing strength 1/2.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS0
The one-third capacity conjecture is false
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- ConditionalTwoPositiveSpectralBoundstructural-affinity · Closed
- FaithfulPerronRegularizationstructural-affinity · Closed
- Lindblad embeddability of the noisy Werner-Holevo channelstructural-affinity · Closed
- Ordered GNS Projectionsstructural-affinity · Closed
- Purely non-unital eternal non-Markovianitystructural-affinity · Closed
- TracePreservingEigenvalueBoundstructural-affinity · Closed
- TwoPositiveTransitionTracestructural-affinity · Closed
- Uniqueness of the upper-boundary deferred-measurement instrumentstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance