Quantum equivalence of oblivious-transfer variants

Determine whether the classical equivalence of all oblivious-transfer variants also holds in the quantum setting.

Background

The paper introduces several variants of oblivious transfer and notes that their equivalence has been established classically. It identifies the corresponding quantum equivalence as unresolved, although the paper focuses specifically on Rabin oblivious transfer rather than attempting to settle this broader question.

References

While it has been shown that all variants are equivalent classically, it is currently unknown whether this equivalence also holds in the quantum case.

— Mixed States in Quantum Rabin Oblivious Transfer  (2610.09796 - Peat et al., 7 Oct 2026) in Section 1, Introduction