Quantum / CONCEPT
The steering-ellipsoid CHSH bound
Every two-qubit density matrix with steering-ellipsoid centre of length c has CHSH nonlocality at most max(2 sqrt(2(1 - c)), 2). At every c in [0, 1] this is the supremum over states with that centre length, proving Conjecture 1 of Milne, Jennings, Jevtic and Rudolph.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES3
PROOF DEPTH21
DOCUMENT LINKS0
Agreement of Pauli indexing
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A stabilizer measurement beyond every maximally entangled onetruth-dependency · Closed
- Actual pure-qubit cost infimumtruth-dependency · Closed
- QubitWassersteinCouplingstruth-dependency · Closed
- The fully entangled fraction and the steering-ellipsoid centretruth-dependency · Closed
- Three-weight Pauli channels have Bayesian inverses only at the maximally mixed statetruth-dependency · Closed
- Two signal probes force a qubit chord and a QFI boundtruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A negative defect at every odd order at least five.structural-affinity · Closed
- A symmetric injective matrix-product family with four physical levelsstructural-affinity · Closed
- Actual pure-qubit cost infimumstructural-affinity · Closed
- CHSH Square under Local Commutativitystructural-affinity · Closed
- Geometric discord and maximal mutual correlationstructural-affinity · Closed
- Nonviolation of CHSH for all high-spin componentsstructural-affinity · Closed
- Pauli Fisher information along a GHZ phase familystructural-affinity · Closed
- QubitWassersteinCouplingsstructural-affinity · Closed
- Refutation of unrestricted Hermitian Taylor majorization.structural-affinity · Closed
- Symmetric SATWAP attainment in every dimensionstructural-affinity · Closed
- The balanced-cut gradient bound fails for eight qubitsstructural-affinity · Closed
- The exact critical concurrence for universal quantum teleportationstructural-affinity · Closed
- The fully entangled fraction and the steering-ellipsoid centrestructural-affinity · Closed
- The purification lower bound fails for a qutritstructural-affinity · Closed
- The sharp centre threshold for three-setting steeringstructural-affinity · Closed
- Three-weight Pauli channels have Bayesian inverses only at the maximally mixed statestructural-affinity · Closed
- Trace-norm discord and maximal mutual correlationstructural-affinity · Closed
- Two signal probes force a qubit chord and a QFI boundstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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