Quantum / CONCEPT
Equivalence of PPT-squared and IPT-squared
The complex PPT-squared conjecture is equivalent to the IPT-squared conjectures over the complex and real fields. The reverse implications use a two-dimensional flag and preserve composition.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES11
PROOF DEPTH3
DOCUMENT LINKS0
Coordinates of an identity amplification
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A correlation-minor bound fails without filter normal formtruth-dependency · Closed
- An isolated qubit ensembletruth-dependency · Closed
- ChannelTimeReversalNoGotruth-dependency · Closed
- Completely useless channels and concatenationtruth-dependency · Closed
- Deterministic violations under an energy constrainttruth-dependency · Closed
- Divisibility does not force entanglement breaking for qutritstruth-dependency · Closed
- Log-negativity capacity depends on the input resourcetruth-dependency · Closed
- The balanced-cut gradient bound fails for eight qubitstruth-dependency · Closed
- The qutrit Weyl--Bloch one-normtruth-dependency · Closed
- Unitary and doubly extreme decomposition of a qutrit channeltruth-dependency · Closed
- Whole smooth recoverytruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A correlation-minor bound fails without filter normal formstructural-affinity · Closed
- Achievable (k-fidelity, process fidelity) regions and single-fidelity non-identifiabilitystructural-affinity · Closed
- An isolated qubit ensemblestructural-affinity · Closed
- ChannelTimeReversalNoGostructural-affinity · Closed
- Completely useless channels and concatenationstructural-affinity · Closed
- Deterministic violations under an energy constraintstructural-affinity · Closed
- Divisibility does not force entanglement breaking for qutritsstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- FiniteGaussianSchoenbergstructural-affinity · Closed
- Log-negativity capacity depends on the input resourcestructural-affinity · Closed
- Physical EJM Source Noisestructural-affinity · Closed
- Real Readouts and Complete Positivitystructural-affinity · Closed
- The balanced-cut gradient bound fails for eight qubitsstructural-affinity · Closed
- The Dimension-Three Hesse SIC Certificatestructural-affinity · Closed
- The qutrit Weyl--Bloch one-normstructural-affinity · Closed
- Trace-preserving linear reconstruction and CPTP joint k-fidelity simplex geometrystructural-affinity · Closed
- Unitary and doubly extreme decomposition of a qutrit channelstructural-affinity · Closed
- Weighted defects of finite operator wordsstructural-affinity · Closed
- Whole smooth recoverystructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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