Quantum / CONCEPT
A product-state bound excludes parallel exponent one
For every positive number of parallel uses, the product state with qubits zero and one gives an error exponent at least two, excluding convergence to one.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS0
The limit cannot be one
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
- Amplitude-damping channels resist perfect measure-and-prepare cloningstructural-affinity · Closed
- Determinant-integral subentropystructural-affinity · Closed
- Fibonacci carry output algebrastructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Physical Sector Channel Constructionstructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- Trace-norm CMI contraction conjecturestructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance