Source labels openChecked July 26, 2026

Open Quantum Problem 13: Mutually unbiased bases

Open Quantum Problem 13: determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^d$ for $d \ge 2$ .

Combinatorics AMS 5 AMS 15 AMS 81 AMS 94

Mathematical statement

Open Quantum Problem 13: determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^d$ for $d \ge 2$ .

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

mutuallyUnbiasedBases

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem mutuallyUnbiasedBases (d : ℕ) (hd : 2 ≤ d) :    IsMaxMUBCount d ((answer(sorry) : ℕ → ℕ) 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

Pinned Formal Conjectures sourceformalization