Brief Review: Simulation of Novel Systems Using Duality Quantum Algorithm

Chao Zheng*

Department of Physics, College of Science, North China University of Technology, No. 5 Jinyuanzhuang Road, Beijing, 100144, China

DOI: 10.5185/amlett.2019.9908

Publication Date (Web): Mar 01, 2019

E-mail: czheng@ncut.edu.cn

Abstract

In this article, we review the recent works of quantum simulation of novel systems briefly, the parity-time-reversal-symmetric (PT-symmetric) quantum system and the Yang-Baxter-equation (YBE) system, using duality quantum algorithm. Duality quantum algorithm studies the linear combinations of unitary operators, making it possible to simulate non-unitary evolutions of novel quantum systems. A PT-symmetric quantum system is a typical non-Hermitian system of which the evolution is not unitary and cannot be simulated directly by a conventional quantum computer. A recent work by C. Zheng has established a theory to simulate a general PT-symmetric two level system by duality quantum computing. The other typical example is the YBE quantum systems, of which the evolutions can be both unitary and non-unitary. C. Zheng and S. J. Wei described a theory that the two hand sides of the YBE can be simulated efficiently by the duality quantum algorithm in their recent research. Perspectives of future applications are expected at last. 

Keywords

Quantum simulation, duality quantum algorithm, PT-symmetry, Yang-Baxter equation.

Current Issue

Smart Healthcare pulls up Clouds for Virtual Medicine


Selecting the correct electromagnetic inspection technology 


Influence of railway-track grinding on the track material condition and tribological behaviour


Micromechanical Fatigue Modelling of the Size Effect in Micro-Scale 316L Stainless Steel Specimens


Functionalization of Graphene and Reduced Graphene Oxide in Different Matrices


Effect of parasitic polytypes on ballistic electron transport in chemical vapor deposition grown 6H-SiC epitaxial layers


Photomemristive heterostructures based on two-dimensional crystals


Architecture - behaviour - properties relationship in Star-shaped MPA-PMMA and MPA-PS hyper-branched copolymers


Graphene and doped graphene: A comparative DFT study


Ag2CO3 / Magnetic reduced graphene oxide nanocomposite as advanced visible light photocatalytic hybrid materials for efficient degradation of azo dye


Optimization of acid hydrolysis process for the preparation cellulose nanofibrils


Alginate/k-carrageenan and alginate/gelatin composite hydrogel beads for controlled drug release of curcumin


Study of microstructure and mechanical properties of friction stir welded ferrite-martensite DP700 steel


Previous issues

9th Anniversary of Advanced Materials Letters: Progress and Opportunities

Coating - A potent method to enhance electrochemical performance of Li(NixMnyCoz)O2 cathodes for Li-ion batteries

Analysis of machined electron beam treated Ti6Al4V-ELI implant surfaces

Bottom-up design of hydrogels through click-chemistry modification of magnetic nanoparticles

Visualization of mechanical loads with semiconductor nanocrystals 

Room temperature growth of ultra porous hot-wire deposited tantalum pentoxide

Substrate integrated circular cavity resonator filled with nano-fibrillated cellulose for humidity detection

Oxygen vacancy filament-based resistive switching in Hf0.5Zr0.5O2 thin films for non-volatile memory

Innovative silicon compatible materials for light emitting devices  

Graphene micromesh for transparent conductive films application 

Applications of nano-scale Cirrus DopantTM to improve existing coatings

Chitin nanofibrils in renewable materials for packaging and personal care applications

Synthesis of AgNPs embedded double network nanocomposite hydrogels having high swelling and anti-bacterial characteristics

Upcoming Congress

Knowledge Experience at Sea TM