CPn, or, entanglement illustrated

被引：34

作者：

Bengtsson, I ^{[1
]}

Brännlund, J

Zyczkowski, K

机构：

[1] Stockholm Univ, SCFAB Fysikum, S-10691 Stockholm, Sweden

[2] Polish Acad Sci, Cent Fiz Teoret, PL-02668 Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2002年 / 17卷 / 31期

关键词：

projective geometry; quantum entanglement;

D O I：

10.1142/S0217751X02010820

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We show that many topological and geometrical properties of complex projective space can be understood just by looking at a suitably constructed picture. The idea is to view CPn as a set of flat tori parametrized by the positive octant of a round sphere. We pay particular attention to submanifolds of constant entanglement in CP3 and give a few new results concerning them.

引用

页码：4675 / 4695

页数：21

共 21 条

[1]

[Anonymous], 1993, Quantum Theory: Concepts and Methods, Fundamental Theories of Physics

[2]

ARVIND KS, 1997, J PHYS A, V30, P2417

[3] GEOMETRIC-QUANTIZATION AND CONSTRAINED SYSTEMS [J].

ASHTEKAR, A ;

STILLERMAN, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (05) :1319-1330

[4] STATISTICAL DISTANCE AND THE GEOMETRY OF QUANTUM STATES [J].

BRAUNSTEIN, SL ;

CAVES, CM .

PHYSICAL REVIEW LETTERS, 1994, 72 (22) :3439-3443

[5] Geometric quantum mechanics [J].

Brody, DC ;

Hughston, LP .

JOURNAL OF GEOMETRY AND PHYSICS, 2001, 38 (01) :19-53

[6]

Bryant R. L., COMMUNICATION

[7] ENTANGLED QUANTUM-SYSTEMS AND THE SCHMIDT DECOMPOSITION [J].

EKERT, A ;

KNIGHT, PL .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (05) :415-423

[8] RELATIVE STATE FORMULATION OF QUANTUM MECHANICS [J].

EVERETT, H .

REVIEWS OF MODERN PHYSICS, 1957, 29 (03) :454-462

[9]

Ewald G., 1996, Combinatorial Convexity and Algebraic Geometry

[10]

FIVEL DI, HEPTH9409148

← 1 2 3 →