Simulation of three-spin evolution under XX Hamiltonian on quantum processor of IBM-Quantum Experience

被引:0
作者
S. I. Doronin
E. B. Fel’dman
A. I. Zenchuk
机构
[1] Institute of Problems of Chemical Physics RAS,
来源
Quantum Information Processing | 2021年 / 20卷
关键词
Quantum processor; Quantum state transfer; -Hamiltonian; Quantum algorithm; Spin chain; Error of quantum calculation;
D O I
暂无
中图分类号
学科分类号
摘要
We simulate the evolution of three-node spin chain on the quantum processor of IBM Quantum Experience using the diagonalization of XX-Hamiltonian and representing the evolution operator in terms of CNOT operations and one-qubit rotations. We study the single excitation transfer from the first to the third node and show the significant difference between calculated and theoretical values of state transfer probability. Then, we propose a method reducing this difference by applying the two-parameter transformation including the shift and scale of the calculated probabilities. We demonstrate the universality of this transformation inside of the class of three-node evolutionary systems governed by the XX-Hamiltonian.
引用
收藏
相关论文
共 48 条
[1]  
Deutsch D(1992)Rapid solutions of problems by quantum computation Proc. R. Soc. Lond. A 439 553-undefined
[2]  
Jozsa R(2021)Compiling basic linear algebra subroutines for quantum computers Quantum Mach. Intell. 3 21-undefined
[3]  
Zhao L(2009)Quantum algorithm for linear systems of equations Phys. Rev. A 103 150502-undefined
[4]  
Zhao Zh(2013)Preconditioned quantum linear system algorithm Phys. Rev. Lett. 110 250504-undefined
[5]  
Rebentrost P(2017)Quantum machine learning Nature 549 195-undefined
[6]  
Fitzsimons J(2007)Efficient quantum algorithms for simulating sparse Hamiltonians Commun. Math. Phys. 270 359-undefined
[7]  
Harrow AW(2010)On the relationship between continuous- and discrete-time quantum walk Commun. Math. Phys. 294 581-undefined
[8]  
Hassidim A(1998)Quantum algorithms revisited Proc. R. Soc. Lond. A 454 339-undefined
[9]  
Lloyd S(1996)Optimum phase-shift estimation and the quantum description of the phase difference Phys. Rev. A 54 4564-undefined
[10]  
Clader BD(1996)Semiclassical Fourier transform for quantum computation Phys. Rev. Lett. 76 3228-undefined