All open problems
Source labels openChecked July 26, 2026

Open Quantum ProblemsCombinatorics

Open Quantum Problem 35: existence of absolutely maximally entangled pure states

Open benchmark statement: does an AME(8,6)\mathrm{AME}(8,6) state exist?

Mathematical statement

Open benchmark statement: does an AME(8,6)\mathrm{AME}(8,6) state exist?

Statement source: Open Quantum Problems statement material

Statement terms: Source-specific

Source-specific terms. Therefore does not assert reuse rights beyond attributed display.

Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

ame_8_6_open

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem ame_8_6_open :    answer(sorry)  ExistsAME 8 6 := by  sorry
Statement source
Formal Conjectures
Lean version
v4.27.0
Placeholder
Present; no proof artifact
Source evidence
Pinned source index
Fidelity review
Community formulation

References