6 papers
Quantumly controlled measurement, Hermitian conjugation and normalization in matrix-manipulation algorithms
Edward B. Fel'dman, Alexander I. Zenchuk, Wentao Qi +1
In this paper, we solve three important problems that are revealed, in particular, to matrix-manipulation algorithms. The principal novelty is introducing the concept of quantumly…
Matrix encoding method in variational algorithm of calculating eigenvalues and generalized eigenvalues
Alexander I. Zenchuk, Junde Wu
We propose a variational method for constructing the eigenvalues and generalized eigenvalues for an arbitrary complex matrix. The quantum part of our algorithm is based…
Matrix encoding method in variational quantum singular value decomposition
Alexander I. Zenchuk, Wentao Qi, Junde Wu
We propose the variational quantum singular value decomposition based on encoding the elements of the considered { } matrix into the state of a quantum system of appropr…
Quantum algorithms for calculating determinant and inverse of matrix and solving linear algebraic systems
Alexander I. Zenchuk, Georgii A. Bochkin, Wentao Qi +2
We propose quantum algorithms, purely quantum in nature, for calculating the determinant and inverse of an matrix (depth is ) which is a simple mo…
Arbitrary state creation via controlled measurement
Alexander I. Zenchuk, Wentao Qi, Junde Wu
The initial state creation is a starting point of many quantum algorithms and usually is considered as a separate subroutine not included into the algorithm itself. There are many…
Remarks on controlled measurement and quantum algorithm for calculating Hermitian conjugate
Edward B. Fel'dman, Alexander I. Zenchuk, Wentao Qi +1
We present two new aspects for the recently proposed algorithms for matrix manipulating based on the special encoding the matrix elements into the superposition state of a quantum…