Results 91 to 100 of about 710,317 (313)
Parent Lindbladians for matrix product density operators
Physical Review ResearchUnderstanding quantum phases of matter is a fundamental goal in physics. For pure states, the representatives of phases are the ground states of locally interacting Hamiltonians, which are also renormalization fixed points (RFPs).
Yuhan Liu +5 more
doaj +1 more source
Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
Molecular Oncology, EarlyView.In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source
On the numerical ranges of matrix products
Applied Mathematics Letters, 2010 Let \(M_n\) denote the space of complex \(n\times n\) matrices, and let~\(A,B,C\in M_n\). The \(C\)-numerical range of~\(A\) is defined by \(W_C(A)=\{\mathrm{tr}\,(CU^*AU):\,U\in M_n\, \mathrm{is\,unitary}\}\). The authors study the equation (1)~\(W_C(AB)=W_C(BA)\). First, they prove this if \(A\) and \(B\) are symmetric and \(C\) is normal.
Mao-Ting Chien +2 more
openaire +2 more sources
Encoding a Many-body Potential Energy Surface into a Grid-Based Matrix Product Operator
An efficient algorithm for compressing a given many-body potential energy surface (PES) of molecular systems into a grid-based matrix product operator (MPO) is proposed. The PES is once represented by a full-dimensional or truncated many-body expansion
Yuki, Kurashige, Kentaro, Hino
core +1 more source
On systolic arrays for complex matrix problems
, 1989 We consider systolic arrays for matrix computations involving complex elements, and show that in certain circumstances the complex calculations can be decomposed into a number of real matrix sub-problems which can be used to good effect in reducing ...
Megson, G.M., Evans, D.J.
core +1 more source
Matrix Product Belief Propagation for reweighted stochastic dynamics over graphs. [PDF]
Proc Natl Acad Sci U S A, 2023 Crotti S, Braunstein A.
europepmc +1 more source
Molecular Oncology, EarlyView.Patient‐derived organoids (PDOs) from pancreatic, colorectal, and gastric cancers were used to evaluate standard and experimental therapies. Incorporating cancer‐associated fibroblasts (CAFs) into organoid cultures improved patient therapy outcome prediction.
Marcin Grochowski +12 more
wiley +1 more source
, 2001 Codes C-1,...,C-M of length it over F-q and an M x N matrix A over F-q define a matrix-product code C = [C-1 (...) C-M] (.) A consisting of all matrix products [c(1) (...) c(M)] (.) A.
Norton, Graham H., Blackmore, Tim
core +1 more source
Transfer matrices and excitations with matrix product states
New Journal of Physics, 2015 We use the formalism of tensor network states to investigate the relation between static correlation functions in the ground state of local quantum many-body Hamiltonians and the dispersion relations of the corresponding low-energy excitations.
V Zauner +8 more
doaj +1 more source
Simplified State Interaction for Matrix Product State Wave Functions. [PDF]
J Chem Theory Comput, 2021 Freitag L +3 more
europepmc +1 more source