Quantum / CONCEPT
Subsystem size does not order coherent information
A uniformly dephased graph state on five plus four qubits has greater coherent information on its smaller subsystem.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS0
A nine-qubit counterexample
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
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- Data processing fails for the cumulant-based Renyi functional at every order above onestructural-affinity · Closed
- Entropy under entrywise modulus in dimension threestructural-affinity · Closed
- Maximum marginal entropy can increase under a local measurementstructural-affinity · Closed
- Optimality of the coefficient in the entanglement-breaking norm inequalitystructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- Subadditivity of quantum states over timestructural-affinity · Closed
- The negativity of randomized graph states is not monotonestructural-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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