Eigenvalues and eigenfunctions Archives - IEEE Transactions on Quantum Engineering

Perfect and Quasi-Perfect Codes for the Bosonic Classical-Quantum Channel

In this article, we explore perfect and quasi-perfect codes for the Bosonic channel, where information is generated by a laser and conveyed in the form of coherent states. In particular, we consider the phase-modulation codebook for coherent states in a Bosonic channel. We show that these phase-modulation codes are quasi-perfect as long as the cardinality […]

A Low-Complexity Quantum Principal Component Analysis Algorithm

November 2, 2022Chen HeOpen Access, Quantum ComputingEigenvalues and eigenfunctions, Phase estimation, Principal component analysis, Quantum circuit, Quantum state, Registers, Runtime

In this article, we propose a low-complexity quantum principal component analysis (qPCA) algorithm. Similar to the state-of-the-art qPCA, it achieves dimension reduction by extracting principal components of the data matrix, rather than all components of the data matrix, to quantum registers, so that the samples of measurement required can be reduced considerably. Both our qPCA […]