The rapid growth in digital data forms the basis for a wide range of new
services and research, e.g, large-scale medical studies. At the same time,
increasingly restrictive privacy concerns and laws are leading to significant
overhead in arranging for sharing or combining different data sets to obtain
these benefits. For new applications, where the benefit of combined data is not
yet clear, this overhead can inhibit organizations from even trying to
determine whether they can mutually benefit from sharing their data. In this
paper, we discuss techniques to overcome this difficulty by employing private
information transfer to determine whether there is a benefit from sharing data,
and whether there is room to negotiate acceptable prices. These techniques
involve cryptographic protocols. While currently considered secure, these
protocols are potentially vulnerable to the development of quantum technology,
particularly for ensuring privacy over significant periods of time into the
future. To mitigate this concern, we describe how developments in practical
quantum technology can improve the security of these protocols.

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