QuantumStates / CONCEPT
Zero Norm Propagation for Matrix States
A positive normalized matrix trace functional propagates a zero quadratic value to every mixed value.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS0
The mixed trace is a Gram pairing after multiplication by the square root
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Matrix GNS Identitystructural-affinity · Closed
- Matrix Self-Pairingstructural-affinity · Closed
- Matrix-State Cone Sectionsstructural-affinity · Closed
- Mixed-State Robertson Uncertaintystructural-affinity · Closed
- Operational Completeness and Classical Separationstructural-affinity · Closed
- Ordered Three-Pulse Tracestructural-affinity · Closed
- Strict separation of measured and Uhlmann average fidelitiesstructural-affinity · Closed
- The trace norm and its two-dimensional formulastructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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