11 papers
Quantum Spectral Anomaly Detection
Yewei Yuan, Michele Minervini, Mark M. Wilde +1
A core task in quantum anomaly detection is to compute an anomaly score that quantifies how strongly a test quantum state deviates from a given quantum dataset assumed to be normal…
Canonical quantization of neurons
Alexander He, Nana Liu, Mark M. Wilde
Canonical quantization provides a systematic procedure for constructing quantum models from classical Hamiltonians. Here, we apply this principle to a fundamental computational pri…
Analog photonic simulator for large-scale transport
Mengyu Zhao, Xuezhi Zhu, Nikita Guseynov +9
Transport equations describe how physical quantities -- such as mass, energy, momentum, concentration, probability, or fields -- are carried, propagated, or redistributed through s…
Quantum principal component analysis without eigenvector recovery
Yewei Yuan, Michele Minervini, Mark M. Wilde +1
Principal component analysis (PCA) is traditionally implemented through a covariance or kernel matrix, leading-eigenvector extraction, and hard rank- projection. These steps can…
Bose-Einstein thermal operators for semidefinite optimization
Michele Minervini, Nana Liu, Mark M. Wilde
We establish that semidefinite programs (SDPs) over the unbounded positive semidefinite cone are mathematically equivalent to thermodynamic systems of independent bosonic modes: th…
End-to-End PDE-Based Quantum Algorithms for Multi-Asset Option Pricing under Local and Stochastic Volatility
Nikita Guseynov, Nana Liu, Chi Seng Pun +1
Multi-asset option pricing under local- and stochastic-volatility models leads naturally to high-dimensional parabolic PDEs. We develop an end-to-end quantum PDE framework for Euro…