  In this paper, we provide an overview of the recent work in the quantum
finance realm from various perspectives. The applications in consideration are
Portfolio Optimization, Fraud Detection, and Monte Carlo methods for derivative
pricing and risk calculation. Furthermore, we give a comprehensive overview of
the applications of quantum computing in the field of blockchain technology
which is a main concept in fintech. In that sense, we first introduce the
general overview of blockchain with its main cryptographic primitives such as
digital signature algorithms, hash functions, and random number generators as
well as the security vulnerabilities of blockchain technologies after the merge
of quantum computers considering Shor's quantum factoring and Grover's quantum
search algorithms. We then discuss the privacy preserving quantum-resistant
blockchain systems via threshold signatures, ring signatures, and
zero-knowledge proof systems i.e. ZK-SNARKs in quantum resistant blockchains.
After emphasizing the difference between the quantum-resistant blockchain and
quantum-safe blockchain we mention the security countermeasures to take against
the possible quantumized attacks aiming these systems. We finalize our
discussion with quantum blockchain, efficient quantum mining and necessary
infrastructures for constructing such systems based on quantum computing. This
review has the intention to be a bridge to fill the gap between quantum
computing and one of its most prominent application realms: Finance. We provide
the state-of-the-art results in the intersection of finance and quantum
technology for both industrial practitioners and academicians.
