Vaidman described how a team of three players, each of them isolated in a remote booth, could use a three-qubit Greenberger-Horne-Zeilinger state to always win a game which would be impossible to always win without quantum resources. However, Vaidman's method requires all three players to share a common reference frame; it does not work if the adversary is allowed to disorientate one player. Here we show how to always win the game, even if the players do not share any reference frame. The introduced method uses a 12-qubit state which is invariant under any transformation ${R}_{a}\ensuremath{\bigotimes}{R}_{b}\ensuremath{\bigotimes}{R}_{c}$ (where ${R}_{a}{=U}_{a}\ensuremath{\bigotimes}{U}_{a}\ensuremath{\bigotimes}{U}_{a}\ensuremath{\bigotimes}{U}_{a},$ where
Uj is a unitary operation on a single qubit) and requires only single-qubit measurements. A number of further applications of this 12-qubit state are described.
量纠纷是为量信息处理的一个必要资源，为量通讯或为量计算。纠纷的多国参加的盒子，特别所谓的真多国参加的纠纷，为多国参加的量信息协议有重要重要性。因此，当执行许多量信息任务时，试验性地验证多国参加的量纠纷是一个自然要求。然而，这由于在所有深奥聚会之中造一个分享的参考框架的困难经常是技术上挑战性的，特别当这些聚会离对方远时。在这份报纸，没有分享的参考书框架，我们试验性地验证一个三光子的 Greenberger-Horne-Zeilinger 状态的真分成三部分的纠纷。高可能性当没有参考书框架被分享时，成功地验证真分成三部分的纠纷中的 0.79 个被完成。在分享仅仅一普通的轴的情况中， 0.91 的甚至更高的成功可能性被完成。