Exact solutions for a universal set of quantum gates on a family of isospectral spin chains

被引:4
|
作者
Karimipour, V [1 ]
Majd, N [1 ]
机构
[1] Sharif Univ Technol, Dept Phys, Tehran, Iran
来源
PHYSICAL REVIEW A | 2005年 / 72卷 / 05期
关键词
Computer systems - Hamiltonians - Numerical analysis;
D O I
10.1103/PhysRevA.72.052305
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We find exact solutions for a universal set of quantum gates on a scalable candidate for quantum computers, namely an array of two-level systems. The gates are constructed by a combination of dynamical and geometrical (non-Abelian) phases. Previously these gates have been constructed mostly on nonscalable systems and by numerical searches among the loops in the manifold of control parameters of the Hamiltonian.
引用
收藏
页数:5
相关论文
共 50 条
  • [21] METHOD FOR IMPLEMENTATION OF UNIVERSAL QUANTUM LOGIC GATES IN A SCALABLE ISING SPIN QUANTUM COMPUTER
    Berman, G. P.
    Kamenev, D. I.
    Kassman, R. B.
    Pineda, C.
    Tsifrinovich, V. I.
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2003, 1 (01) : 51 - 77
  • [22] Exact Solutions and Degenerate Properties of Spin Chains with Reducible Hamiltonians
    Fan, Shiung
    CONDENSED MATTER, 2018, 3 (04): : 1 - 13
  • [23] EXACT ANTIFERROMAGNETIC GROUND-STATES OF QUANTUM SPIN CHAINS
    FANNES, M
    NACHTERGAELE, B
    WERNER, RF
    EUROPHYSICS LETTERS, 1989, 10 (07): : 633 - 637
  • [24] New exact integrable spin-1 quantum chains
    Alcaraz, FC
    Bariev, RZ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (33): : L467 - L471
  • [25] Monodromy matrices as universal set of quantum gates and dynamics of cold trapped ions
    Giorgadze, G.
    TBILISI MATHEMATICAL JOURNAL, 2020, 13 (02) : 187 - 206
  • [26] Exact solutions for a family of spin-boson systems
    Lee, Yuan-Harng
    Links, Jon
    Zhang, Yao-Zhong
    NONLINEARITY, 2011, 24 (07) : 1975 - 1986
  • [27] Towards a universal set of topologically protected gates for quantum computation with Pfaffian qubits
    Georgiev, Lachezar S.
    NUCLEAR PHYSICS B, 2008, 789 (03) : 552 - 590
  • [28] Single-electron spin quantum dot logical gates with ferromagnetic chains
    Molotkov, SN
    Nazin, SS
    PHYSICS OF LOW-DIMENSIONAL STRUCTURES, 1997, 10 : 85 - 94
  • [29] Universal holonomic quantum gates over geometric spin qubits with polarised microwaves
    Nagata, Kodai
    Kuramitani, Kouyou
    Sekiguchi, Yuhei
    Kosaka, Hideo
    NATURE COMMUNICATIONS, 2018, 9
  • [30] Universal holonomic quantum gates over geometric spin qubits with polarised microwaves
    Kodai Nagata
    Kouyou Kuramitani
    Yuhei Sekiguchi
    Hideo Kosaka
    Nature Communications, 9