Reconsideration of a quantum error model by using multiprecision DMRG

2015 Fiscal Year Final Research Report

• Project/Area Number: 25871052
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Theory of informatics; Atomic/Molecular/Quantum electronics
• Research Institution: Toyohashi University of Technology
• Principal Investigator: SaiToh Akira 豊橋技術科学大学, 工学(系)研究科(研究院), 助教 (70513068)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 量子エラー / 量子計算機 / 密度行列繰込群 / 行列積状態 / 数値シミュレーション / 多倍長精度計算

Outline of Final Research Achievements

Calibration error has been modeled by introducing appropriate deviations in the Hamiltonian terms that govern quantum gate operations. With this modeling, several quantum algorithms have been analyzed by the time-dependent matrix-product-state method with multiprecision computing, which has achieved preliminary results on the deviation in their output states.
Besides to this, there has been an improvement in our simulation library: The back-end library now diagonalizes an Hermitian matrix faster than the well-known Pari library. In addition, stability of our library for Liouville-space time evolution has been rather improved.
The research has also derived a quantum algorithm for digital-to-analog conversion that actively uses quantum errors although this achievement is not directly related to the main topic.

Free Research Field

量子情報