QuantumBounds / CONCEPT
The exact quantum bound for nonlocality depth
For every n >= 3, the Bernards--Gühne Bell functional has exact quantum maximum sqrt(2) n 2^(n-2), over all finite local dimensions, binary observables and density matrices.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES7
PROOF DEPTH6
DOCUMENT LINKS0
The positive shift of a Hermitian contraction
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Bernards--Gühne hybrid classical boundtruth-dependency · Closed
- FibonacciGrayPathtruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- PurifiedLocalPathtruth-dependency · Closed
- The sharp noncommutative Hunter inequalitytruth-dependency · Closed
- Weil: Rank Tracetruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
- Contraction decompositions and separable scalar shiftstruth-dependency · Closed
- Error and disturbance below the endpoint minimumtruth-dependency · Closed
- Pauli Fisher information along a GHZ phase familytruth-dependency · Closed
- The Holevo ratio for full orthonormal tomographytruth-dependency · Closed
- The strict-majority threshold for quantum hedgingtruth-dependency · Closed
- The threshold prior of the G-testtruth-dependency · Closed
- Werner states undetected by all complex testerstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to the Young-subgroup cross-sum inequalitystructural-affinity · Closed
- Bernards--Gühne hybrid classical boundstructural-affinity · Closed
- Contraction decompositions and separable scalar shiftsstructural-affinity · Closed
- Error and disturbance below the endpoint minimumstructural-affinity · Closed
- FibonacciGrayPathstructural-affinity · Closed
- Finite product-vector averagesstructural-affinity · Closed
- Pauli Fisher information along a GHZ phase familystructural-affinity · Closed
- PurifiedLocalPathstructural-affinity · Closed
- The Holevo ratio for full orthonormal tomographystructural-affinity · Closed
- The sharp noncommutative Hunter inequalitystructural-affinity · Closed
- The strict-majority threshold for quantum hedgingstructural-affinity · Closed
- The threshold prior of the G-teststructural-affinity · Closed
- Unified Pinching Feestructural-affinity · Closed
- Unit Weight Forces Projection Supportstructural-affinity · Closed
- Werner states undetected by all complex testersstructural-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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