All open problems
Source labels openChecked July 26, 2026
Open Quantum ProblemsLinear algebra
Open Quantum Problem 23: SIC-POVMs
Benchmark open subproblem: existence of a SIC-POVM in dimension .
Mathematical statement
Benchmark open subproblem: existence of a SIC-POVM in dimension .
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
hasSICPOVM_75
Complete statement target, proof intentionally absentLean 4
theorem hasSICPOVM_75 : answer(sorry) ↔ HasSICPOVM 75 := by sorry /- ## Full conjecture -/ /-- Do SIC-POVMs exist in every finite dimension? -/@[category research open, AMS 15 47 81]theorem sicPOVMs : answer(sorry) ↔ ∀ d : ℕ, 1 ≤ d → HasSICPOVM d := 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