Dissipative Quantum Annealing

被引:0
作者
de Falco, D. [1 ]
Pertoso, E. [1 ]
Tamascelli, D. [1 ]
机构
[1] Univ Milan, Dipartimento Sci Informaz, I-20135 Milan, Italy
来源
QUANTUM PROBABILITY AND INFINITE DIMENSIONAL ANALYSIS | 2010年 / 25卷
关键词
Quantum annealing; ground-state process; adiabatic computation; dissipative dynamics; SCHRODINGER-EQUATION; MECHANICS; DIFFUSION;
D O I
10.1142/9789814295437_0020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the evolution of a quantum system subject to a nonlinear dissipative term of Kostin type the probability amplitudes associated to excited states of the Hamiltonian are damped; this results in a dynamic convergence toward the ground state. In this paper we dicuss how dissipation can replace adiabatic evolution in the search of the ground state of a target Hamiltonian and discuss applications to Quantum Annealing.
引用
收藏
页码:288 / 301
页数:14
相关论文
共 35 条
  • [1] The Power of Quantum Systems on a Line
    Aharonov, Dorit
    Gottesman, Daniel
    Irani, Sandy
    Kempe, Julia
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 287 (01) : 41 - 65
  • [2] ENERGY FORMS, HAMILTONIANS, AND DISTORTED BROWNIAN PATHS
    ALBEVERIO, S
    HOEGHKROHN, R
    STREIT, L
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (05) : 907 - 917
  • [3] GLOBAL ENERGY MINIMUM SEARCHES USING AN APPROXIMATE SOLUTION OF THE IMAGINARY TIME SCHRODINGER-EQUATION
    AMARA, P
    HSU, D
    STRAUB, JE
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1993, 97 (25) : 6715 - 6721
  • [4] RANDOM-WALK SIMULATION OF SCHRODINGER EQUATION - H+3
    ANDERSON, JB
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (04) : 1499 - 1503
  • [5] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES
    ANDERSON, PW
    [J]. PHYSICAL REVIEW, 1958, 109 (05): : 1492 - 1505
  • [6] [Anonymous], 2000, ARXIVQUANTPH0001106V
  • [7] [Anonymous], 1998, COMBINATORIAL OPTIMI
  • [8] QUANTUM STOCHASTIC OPTIMIZATION
    APOLLONI, B
    CARVALHO, C
    DEFALCO, D
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1989, 33 (02) : 233 - 244
  • [9] Apolloni B., 1990, STOCHASTIC PROCESSES, P97
  • [10] About the Quantum mechanics of Electrons in Crystal lattices.
    Bloch, Felix
    [J]. ZEITSCHRIFT FUR PHYSIK, 1929, 52 (7-8): : 555 - 600