Quantum / CONCEPT
Two-qubit conditional domains need not be subalgebras
A two-qubit density matrix with invertible marginals has a conditional domain that is not closed under multiplication.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS0
Failure of multiplication closure with invertible marginals
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 product-state bound excludes parallel exponent onestructural-affinity · Closed
- All gate orderings of an open-boundary transfer-matrix circuitstructural-affinity · Closed
- Amplitude-damping channels resist perfect measure-and-prepare cloningstructural-affinity · Closed
- Determinant-integral subentropystructural-affinity · Closed
- Fibonacci carry output algebrastructural-affinity · Closed
- Finite Density States and Quantum Channelsstructural-affinity · Closed
- Lidar Restricted Anticoncentration Refutationstructural-affinity · Closed
- Optimal quantum states depend on the Renyi ordersstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- Rényi CMI local-channel monotonicitystructural-affinity · Closed
- The exact three-coherence Ramsey thresholdstructural-affinity · Closed
- The kernel and trace criteria are not equivalentstructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- The minimum of the long-time algebra OTOCstructural-affinity · Closed
- The original low-alpha SBW assertionstructural-affinity · Closed
- Total spectral rows and direct concatenationstructural-affinity · Closed
- Trace-norm CMI contraction conjecturestructural-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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