  In this paper we reformulate the problem of pricing options in a quantum
setting. Our proposed algorithm involves preparing an initial state,
representing the option price, and then evolving it using existing imaginary
time simulation algorithms. This way of pricing options boils down to mapping
an initial option price to a quantum state and then simulating the time
dependence in Wick's imaginary time space. We numerically verify our algorithm
for European options using a particular imaginary time evolution algorithm as
proof of concept and show how it can be extended to path dependent options like
Asian options. As the proposed method uses a hybrid variational algorithm, it
is bound to be relevant for near-term quantum computers.
