Greenberger-Horne-Zeilinger States and Few-Body Hamiltonians

被引：17

作者：

Facchi, Paolo ^{[1
,2
,3
]}

Florio, Giuseppe ^{[3
,4
,5
]}

Pascazio, Saverio ^{[3
,4
,5
]}

Pepe, Francesco V. ^{[3
,4
,5
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

[2] Univ Bari, MECENAS, I-70125 Bari, Italy

[3] Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy

[4] Univ Bari, Dipartimento Fis, I-70126 Bari, Italy

[5] Univ Bari, MECENAS, I-70126 Bari, Italy

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 26期

关键词：

SCHRODINGER CAT STATE; QUANTUM SIMULATOR; TRAPPED IONS; ENTANGLEMENT; SYSTEMS;

D O I：

10.1103/PhysRevLett.107.260502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The generation of Greenberger-Horne-Zeilinger (GHZ) states is a crucial problem in quantum information. We derive general conditions for obtaining GHZ states as eigenstates of a Hamiltonian. We find that a necessary condition for an n-qubit GHZ state to be a nondegenerate eigenstate of a Hamiltonian is the presence of m-qubit couplings with m >= [(n + 1)/2]. Moreover, we introduce a Hamiltonian with a GHZ eigenstate and derive sufficient conditions for the removal of the degeneracy.

引用

页数：5

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