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：在本工作中，我们证明一对纠缠量子比特可用于实现私有乘积计算。更精确地说，两位参与者各自持有有限域中的私有输入，可对一个共享的贝尔类量子态执行局域操作；当这些量子比特随后被发送给第三方参与者时，该第三方能够确定输入的乘积结果，但不会获知关于单个输入的更多信息。我们给出了在任意素数阶有限域中实现此类乘积计算的具体方案。