Portably parallel construction of a configuration‐interaction wave function from a matrix–product state using the Charm ++ framework

2020 ◽  
Vol 41 (32) ◽  
pp. 2707-2721
Author(s):  
Ting Wang ◽  
Yingjin Ma ◽  
Lian Zhao ◽  
Jinrong Jiang
Keyword(s):  
Wave Function ◽  
Configuration Interaction ◽  
Matrix Product ◽  
Product State ◽  
Matrix Product State ◽  
Parallel Construction

scholarly journals A new method to calculate ultrafast electron dynamics in molecules based on matrix product states

2019 ◽  
Vol 205 ◽  
pp. 03009
Author(s):  
Lars-Hendrik Frahm ◽  
Daniela Pfannkuche
Keyword(s):  
Wave Function ◽  
Time Dependent ◽  
New Method ◽  
Matrix Product ◽  
Product State ◽  
Electron Dynamics ◽  
Matrix Product States ◽  
Electronic Wave ◽  
Matrix Product State ◽  
Electronic Wave Function

We propose a new method to describe electron dynamics in molecules on the scale of femtoseconds. It is based on factorizing the electronic wave function into a matrix product state and using this factorization to solve the time dependent Schrodinger equation.

scholarly journals MATRIX PRODUCT STATE REPRESENTATION FOR SLATER DETERMINANTS AND CONFIGURATION INTERACTION STATES

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345029 ◽  
Author(s):  
PIETRO SILVI ◽  
DAVIDE ROSSINI ◽  
ROSARIO FAZIO ◽  
GIUSEPPE E. SANTORO ◽  
VITTORIO GIOVANNETTI
Keyword(s):  
Configuration Interaction ◽  
A Priori ◽  
Slater Determinant ◽  
Matrix Product ◽  
Product State ◽  
Exact Representation ◽  
State Representation ◽  
Product Representation ◽  
Matrix Product State ◽  
Exact Matrix

Slater determinants are product states of filled quantum fermionic orbitals. When they are expressed in a configuration space basis chosen a priori, their entanglement is bound and controlled. This suggests that an exact representation of Slater determinants as finitely-correlated states is possible. In this paper we analyze this issue and provide an exact Matrix Product representation for Slater determinant states. We also argue possible meaningful extensions that embed more complex configuration interaction states into the description.

scholarly journals Geometric entanglement from matrix product state representations

2011 ◽  
Vol 13 (9) ◽  
pp. 093041 ◽  
Author(s):  
Bing-Quan Hu ◽  
Xi-Jing Liu ◽  
Jin-Hua Liu ◽  
Huan-Qiang Zhou
Keyword(s):  
Matrix Product ◽  
Product State ◽  
Matrix Product State

scholarly journals Optimising Matrix Product State Simulations of Shor's Algorithm

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 116 ◽  
Author(s):  
Aidan Dang ◽  
Charles D. Hill ◽  
Lloyd C. L. Hollenberg
Keyword(s):  
Dimensional Structure ◽  
Matrix Product ◽  
Product State ◽  
One Dimensional ◽  
Matrix Product State ◽  
Shor's Algorithm ◽  
The One ◽  
High Level ◽  
Space Requirements ◽  
Factoring Algorithm

We detail techniques to optimise high-level classical simulations of Shor's quantum factoring algorithm. Chief among these is to examine the entangling properties of the circuit and to effectively map it across the one-dimensional structure of a matrix product state. Compared to previous approaches whose space requirements depend on r, the solution to the underlying order-finding problem of Shor's algorithm, our approach depends on its factors. We performed a matrix product state simulation of a 60-qubit instance of Shor's algorithm that would otherwise be infeasible to complete without an optimised entanglement mapping.

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