Quantum / CONCEPT
One ancillary qubit cannot give constant-round universal channel simulation
A family of sign-frame channels has exact postselection success at most 4 times 4 to the R divided by n for every adaptive protocol with one ancillary qubit and at most R measurement rounds. Finite classical randomization preserves this bound, excluding universal constant depth and constant positive success.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES0
PROOF DEPTH26
DOCUMENT LINKS0
The universal constants do not exist
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Conditional Record Capacitytruth-dependency · Closed
- Finite Shifted Record Realizationtruth-dependency · Closed
- Modeltruth-dependency · Closed
- Quantitative Multi-Orbit Weil Negative Certificatetruth-dependency · Closed
- Separable states outside every local-unitary stabilizer frametruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Bayesian feedback advantage for the qutrit Werner–Holevo channelstructural-affinity · Closed
- Conditional Record Capacitystructural-affinity · Closed
- Finite Shifted Record Realizationstructural-affinity · Closed
- Maximum marginal entropy can increase under a local measurementstructural-affinity · Closed
- Modelstructural-affinity · Closed
- Partial tightness of the multipartite entangled-measurement boundstructural-affinity · Closed
- Quantitative Multi-Orbit Weil Negative Certificatestructural-affinity · Closed
- Semisimple Unitary Commutantsstructural-affinity · Closed
- Separable states outside every local-unitary stabilizer framestructural-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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