Quantum / CONCEPT
Optimal quantum states depend on the Renyi orders
A qutrit basis projector is Pareto optimal for the Shannon dual pair (1,1), but ceases to be optimal for the dual pair (3/5,3). Thus the optimal states for two projective measurements can depend on their Renyi orders.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
A qutrit refutes order independence
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A counterexample to the negative-q commutator boundstructural-affinity · Closed
- A traceless counterexample to the q-deformed commutator boundstructural-affinity · Closed
- Classical-quantum Gram realizationstructural-affinity · Closed
- Determinant-integral subentropystructural-affinity · Closed
- Equality Cases for Finite Shannon Entropystructural-affinity · Closed
- Exact ranks and entropy for direct concatenationstructural-affinity · Closed
- Finite Density States and Quantum Channelsstructural-affinity · Closed
- Guessing probabilitystructural-affinity · Closed
- M-resistant qudit states exist in every admissible rangestructural-affinity · Closed
- Orthogonal Records and Pointer Informationstructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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