Quantum mean centering for block-encoding-based quantum algorithm
HL Liu, CH Yu, LC Wan, SJ Qin, F Gao… - Physica A: Statistical …, 2022 - Elsevier
Mean Centering (MC) is an important data preprocessing technique, which has a wide
range of applications in data mining, machine learning, and multivariate statistical analysis …
range of applications in data mining, machine learning, and multivariate statistical analysis …
Quantum discriminative canonical correlation analysis
YM Li, HL Liu, SJ Pan, SJ Qin, F Gao… - Quantum Information …, 2023 - Springer
Discriminative canonical correlation analysis (DCCA) is a powerful supervised feature
extraction technique for two sets of multivariate data, which has wide applications in pattern …
extraction technique for two sets of multivariate data, which has wide applications in pattern …
Computing eigenvalues of diagonalizable matrices on a quantum computer
C Shao - ACM Transactions on Quantum Computing, 2022 - dl.acm.org
Computing eigenvalues of matrices is ubiquitous in numerical linear algebra problems.
Currently, fast quantum algorithms for estimating eigenvalues of Hermitian and unitary …
Currently, fast quantum algorithms for estimating eigenvalues of Hermitian and unitary …
Resolvent-based quantum phase estimation: Towards estimation of parametrized eigenvalues
A Alase, S Karuvade - arXiv preprint arXiv:2410.04837, 2024 - arxiv.org
Quantum algorithms for estimating the eigenvalues of matrices, including the phase
estimation algorithm, serve as core subroutines in a wide range of quantum algorithms …
estimation algorithm, serve as core subroutines in a wide range of quantum algorithms …
General quantum matrix exponential dimensionality-reduction framework based on block encoding
YM Li, HL Liu, SJ Pan, SJ Qin, F Gao, QY Wen - Physical Review A, 2023 - APS
As a general framework, matrix exponential dimensionality reduction (MEDR) deals with the
small-sample-size problem that appears in linear dimensionality-reduction (DR) algorithms …
small-sample-size problem that appears in linear dimensionality-reduction (DR) algorithms …
Quantum circuits for block encoding of structured matrices in ocean acoustics
C Yang, H Yao, G Zhang, Z Fan, Z Li, J Liu - arXiv preprint arXiv …, 2024 - arxiv.org
Block encoding is a data input model commonly used in a quantum computer. It is a
technique that embeds a matrix $ A $ satisfying $\left\| A\right\|\leq 1$ into a larger unitary …
technique that embeds a matrix $ A $ satisfying $\left\| A\right\|\leq 1$ into a larger unitary …