QuantumChannels / CONCEPT
Destruction covariance need not be a superchannel fixed set
Qutrit complete dephasing obstructs an exact superchannel fixed-point description of destruction covariance.
Closed
DIRECT PREREQUISITES13
DIRECT CONSEQUENCES0
PROOF DEPTH22
DOCUMENT LINKS0
A negative answer from qutrit dephasing
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A degree-three counterexample to the higher-order C*-algebraic Smale conjecturetruth-dependency · Closed
- A non-extreme minimum-rank superchannel extensiontruth-dependency · Closed
- Amending coherence-breaking iterates with one unitarytruth-dependency · Closed
- Biased post-processed improvements are not faithfultruth-dependency · Closed
- ChannelTimeReversalNoGotruth-dependency · Closed
- Entanglement-assisted communication value and the output dimensiontruth-dependency · Closed
- Finite Density States and Quantum Channelstruth-dependency · Closed
- Finite Kraus Quantum Channelstruth-dependency · Closed
- Finite Kraus Representationstruth-dependency · Closed
- Li–Jiang polar-pair optimality: an exact finite-noise refutationtruth-dependency · Closed
- Monomial Matrices Preserve Diagonalitytruth-dependency · Closed
- ProbeComponentRigiditytruth-dependency · Closed
- The Choi spectrum of unital product-unitary-equivariant mapstruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A degree-three counterexample to the higher-order C*-algebraic Smale conjecturestructural-affinity · Closed
- A non-extreme minimum-rank superchannel extensionstructural-affinity · Closed
- Amending coherence-breaking iterates with one unitarystructural-affinity · Closed
- Biased post-processed improvements are not faithfulstructural-affinity · Closed
- ChannelTimeReversalNoGostructural-affinity · Closed
- Entanglement-assisted communication value and the output dimensionstructural-affinity · Closed
- Exact Hilbert-Schmidt distances of noisy Smolin statesstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- Gram Matrices of Monomial Matricesstructural-affinity · Closed
- Li–Jiang polar-pair optimality: an exact finite-noise refutationstructural-affinity · Closed
- Mixed-unitary channels and marginal pinchingstructural-affinity · Closed
- Monomial Matrices Preserve Diagonalitystructural-affinity · Closed
- ProbeComponentRigiditystructural-affinity · Closed
- Pure product inputs detect signalling through PDM negativitystructural-affinity · Closed
- The Choi spectrum of unital product-unitary-equivariant mapsstructural-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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