Quantum / CONCEPT
Positive One-Mode Williamson Form
Every positive one-mode quadratic energy has a positive symplectic normal form.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS1
A positive quadratic form becomes an isotropic oscillator
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Extended local permutations do not suffice for block-shift formstructural-affinity · Closed
- Gaussian atemporality implies entanglementstructural-affinity · Closed
- Global steady-state optimality of aligned general-dyne monitoringstructural-affinity · Closed
- Golden Factor Cancellationstructural-affinity · Closed
- Local-unitary inequivalence of two weight-isometric pairs of stabilizer codesstructural-affinity · Closed
- Refutation of the local-versus-global Gaussian thermometry conjecturestructural-affinity · Closed
- Thermal Coefficient Floorstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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