Quantum / CONCEPT
An identity ancilla defeats maximal measurement coherence monotonicity
Maximal spectral-distance measurement coherence can increase under a CP unital map. The tetrahedral SIC qubit POVM has maximal coherence at most sqrt(2/3)/2, while adjoining an identity qubit gives maximal coherence at least 1/2.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS0
General monotonicity fails
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A state stabilized by binary operators that is not locally a stabilizer statetruth-dependency · Closed
- Concealment does not determine the adjoint kerneltruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- Positive Pauli Clock Ordertruth-dependency · Closed
- Pure-qubit affine geometrytruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A state stabilized by binary operators that is not locally a stabilizer statestructural-affinity · Closed
- A strict gap between two dequantumness powersstructural-affinity · Closed
- An extreme POVM with rank vector (3,3,2,2,2,2,2,2)structural-affinity · Closed
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- Conditional randomness and uniform attenuationstructural-affinity · Closed
- FourQubitParentConstructionstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Positive Pauli Clock Orderstructural-affinity · Closed
- Pure-qubit affine geometrystructural-affinity · Closed
- Stationarity does not imply tabletop time reversibilitystructural-affinity · Closed
- Stationarity of quadratic POVM variationsstructural-affinity · Closed
- The imprecise separable CHSH optimumstructural-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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