Anomaly detection, an important branch of machine learning, plays a critical role in fraud health care, intrusion military surveillance, etc. As one the most commonly used unsupervised anomaly detection algorithms, Local Outlier Factor algorithm (LOF algorithm) has been extensively studied. This contains three steps, i.e., determining k-distance neighborhood for each data point x, computing loc...

Neighborhood preserving embedding (NPE) is an important linear dimensionality reduction technique that aims at the local manifold structure. NPE contains three steps, i.e. , finding nearest neighbors of each data point, constructing weight matrix, and obtaining transformation matrix. Liang et al . proposed a variational quantum algorithm (VQA) for [ Phys. Rev. A 101 032323 (2020)]. The consists...

Abstract Quantum mechanics is well known to accelerate statistical sampling processes over classical techniques. In quantitative finance, samplings arise broadly in many use cases. Here we focus on a particular one of such cases, credit valuation adjustment (CVA), and identify opportunities challenges towards quantum advantage for practical instances. To build NISQ-friendly circuit able solve p...

The quantum approximate optimization algorithm (QAOA) has proved to be an effective classical-quantum serving multiple purposes, from solving combinatorial problems finding the ground state of many-body systems. Since QAOA is ansatz-dependent algorithm, there always a need design ansatz for better optimization. To this end, we propose digitized version enhanced via use shortcuts adiabaticity. S...