Quantum / CONCEPT
A generic-state counterexample in the kicked Ising chain
Pathak's generic-state negativity identity fails on a four-site kicked Ising chain.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES10
PROOF DEPTH8
DOCUMENT LINKS0
Partial trace under a right unitary
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Negativity does not imply positive reductiontruth-dependency · Closed
- Partial-transpose trace dualitytruth-dependency · Closed
- Qutrit APPT attaining statestruth-dependency · Closed
- The Alsing–Birrittella logarithmic-negativity sandwichtruth-dependency · Closed
- The exact critical concurrence for universal quantum teleportationtruth-dependency · Closed
- The qutrit complementary-entropy frontiertruth-dependency · Closed
- The sharp fidelity bound for marginal process approximationstruth-dependency · Closed
- The two-qubit binegativity lower bound at fixed negativitytruth-dependency · Closed
- Two unbounded entanglement gaps with one qubittruth-dependency · Closed
- Weighted multicopy designs need not be optimaltruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Generalized concentratable entanglement is not monotone under enlarging the subsystemstructural-affinity · Closed
- Generic matrix and cyclic-sector primitivesstructural-affinity · Closed
- Negativity and structured negativity differ for a pure two-qutrit statestructural-affinity · Closed
- Negativity does not imply positive reductionstructural-affinity · Closed
- Partial-transpose trace dualitystructural-affinity · Closed
- Qutrit APPT attaining statesstructural-affinity · Closed
- The Allen–Meyer family omits achievable three-qutrit negativitiesstructural-affinity · Closed
- The Alsing–Birrittella logarithmic-negativity sandwichstructural-affinity · Closed
- The exact critical concurrence for universal quantum teleportationstructural-affinity · Closed
- The exact three-coherence Ramsey thresholdstructural-affinity · Closed
- The fixed-marginal candidate need not maximize two-qutrit negativitystructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- The qutrit complementary-entropy frontierstructural-affinity · Closed
- The residual-correlation sum of four qubits is not an entanglement monotonestructural-affinity · Closed
- The sharp fidelity bound for marginal process approximationsstructural-affinity · Closed
- The two-qubit binegativity lower bound at fixed negativitystructural-affinity · Closed
- The upper binegativity bound of Girard and Gour failsstructural-affinity · Closed
- Two unbounded entanglement gaps with one qubitstructural-affinity · Closed
- UniformSchmidtCornerstructural-affinity · Closed
- Weighted multicopy designs need not be optimalstructural-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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