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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.
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