



01846nas a2200181   4500008004100000245009600041210006900137260001400206520121100220653003801431653004301469653002701512653003101539100001501570700001901585700002301604856003701627       2022                        eng d00aGroup coset monogamy games and an application to device-independent continuous-variable QKD0 aGroup coset monogamy games and an application to deviceindepende  c12/7/20223 a<p>We develop an extension of a recently introduced subspace coset state monogamy-of-entanglement game [Coladangelo, Liu, Liu, and Zhandry; Crypto&#39;21] to general group coset states, which are uniform superpositions over elements of a subgroup to which has been applied a group-theoretic generalization of the quantum one-time pad. We give a general bound on the winning probability of a monogamy game constructed from subgroup coset states that applies to a wide range of finite and infinite groups. To study the infinite-group case, we use and further develop a measure-theoretic formalism that allows us to express continuous-variable measurements as operator-valued generalizations of probability measures.<br />We apply the monogamy game bound to various physically relevant groups, yielding realizations of the game in continuous-variable modes as well as in rotational states of a polyatomic molecule. We obtain explicit strong bounds in the case of specific group-space and subgroup combinations. As an application, we provide the first proof of one sided-device independent security of a squeezed-state continuous-variable quantum key distribution protocol against general coherent attacks.</p>10aCryptography and Security (cs.CR)10aFOS: Computer and information sciences10aFOS: Physical sciences10aQuantum Physics (quant-ph)1 aCulf, Eric1 aVidick, Thomas1 aAlbert, Victor, V.  uhttps://arxiv.org/abs/2212.03935