In this work, we show that a pair of entangled qubits can be used to compute a product privately. More precisely, two participants with a private input from a finite field can perform local operations on a shared, Bell-like quantum state, and when these qubits are later sent to a third participant, the third participant can determine the product of the inputs, but without learning more about the individual inputs. We give a concrete way to realize this product computation for arbitrary finite fields of prime order.

翻译：在本文中，我们展示了一对纠缠量子比特可用于私有地计算乘积。更精确地说，两个参与者各自拥有来自有限域的私有输入，可对共享的贝尔类量子态进行局部操作，当这些量子比特随后被发送给第三方时，该第三方能够确定输入值的乘积，但不会获知关于各输入值的更多信息。我们给出了一个具体方法，用于在任意素数阶有限域上实现此乘积计算。