Quantum / CONCEPT
Energy eigenstates have no changing density record
An energy eigenvector acquires only an overall phase under time evolution. Its density matrix is constant and its energy variance is zero.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES12
PROOF DEPTH3
DOCUMENT LINKS1
Exponential action on an eigenvector
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A genuine four-state superposition from level-one QAOAtruth-dependency · Closed
- Four-qubit correlation monogamytruth-dependency · Closed
- HS4Assemblytruth-dependency · Closed
- Infinitely many non-star trees admit Laplacian peak state transfertruth-dependency · Closed
- Interior perfect state transfer without endpoint transfertruth-dependency · Closed
- Lindblad embeddability of the noisy Werner-Holevo channeltruth-dependency · Closed
- Normalized-Laplacian perfect state transfer on a treetruth-dependency · Closed
- Pretty good state transfer at vertex 4 of the double blow-up of P_11truth-dependency · Closed
- Pure-state ECQC fails in dimension fivetruth-dependency · Closed
- Selective LOCC can increase the Moreau-Yosida entanglement of formationtruth-dependency · Closed
- The Gibbs product entropy budgettruth-dependency · Closed
- The twin end vertex of P'_9 is not sharply 1/9-sedentarytruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A genuine four-state superposition from level-one QAOAstructural-affinity · Closed
- Biquadratic independence and integer approximation timesstructural-affinity · Closed
- Density-state covariance and its sparse sumstructural-affinity · Closed
- Divided differences over even and odd integer nodes are 2-adic unitsstructural-affinity · Closed
- Four-qubit correlation monogamystructural-affinity · Closed
- HS4Assemblystructural-affinity · Closed
- Infinitely many non-star trees admit Laplacian peak state transferstructural-affinity · Closed
- Interior perfect state transfer without endpoint transferstructural-affinity · Closed
- Lindblad embeddability of the noisy Werner-Holevo channelstructural-affinity · Closed
- Normalized-Laplacian perfect state transfer on a treestructural-affinity · Closed
- Pretty good state transfer at vertex 4 of the double blow-up of P_11structural-affinity · Closed
- Pure-state ECQC fails in dimension fivestructural-affinity · Closed
- Refuting the density-tensor nuclear-norm equality conjecturestructural-affinity · Closed
- Selective LOCC can increase the Moreau-Yosida entanglement of formationstructural-affinity · Closed
- The Gibbs product entropy budgetstructural-affinity · Closed
- The Pure-State Handshakestructural-affinity · Closed
- The pure-state scale does not confine dissipative spectrastructural-affinity · Closed
- The twin end vertex of P'_9 is not sharply 1/9-sedentarystructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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