Almost Every Pure State of Three Qubits Is Completely Determined by Its Two-Particle Reduced Density Matrices

Physical Review Letters

Volumn 89, Issue 20, 2002, Pages

  Linden, N ^a   Popescu, S ^a   Wootters, W K ^b  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b WILLIAMS COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; HIGH ENERGY PHYSICS; LAGRANGE MULTIPLIERS;

QUANTUM INFORMATION THEORY;

QUANTUM ELECTRONICS;

EID: 4243299985     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.207901     Document Type: Article

References (9)

1. E.T. Jaynes, Phys. Rev.10.1103/PhysRev.106.620 106, 620 (1957).
2. The idea that what we have called (Formula presented) plays a role in characterizing bipartite correlations has recently been argued from a different perspective in V.I. Man’ko et al, quant-ph/0207033.
3. C.H. Bennett, H.J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A10.1103/PhysRevA.53.2046 53, 2046 (1996);
4. S. Popescu and D. Rohrlich, Phys. Rev. A 56, R3319 (1997).
5. H. Carteret, A. Higuchi, and A. Sudbery, J. Math. Phys. (N.Y.)10.1063/1.1319516 41, 7932 (2000);
6. A. Acin, A. Andrianov, E. Jané, and R. Tarrach, J. Phys. AJPHAC510.1088/0305-4470/34/35/301 34, 6725 (2001).
7. Related questions are of interest in molecular physics, although the indistinguishability of particles plays a crucial role there; for a historical review, see A.J. Coleman and V.I. Yukalov, Reduced Density Matrices: Coulson’s Challenge (Springer-Verlag, New York, 2000).
8. For applications in statistics, see, for example, I.J. Good, Ann. Math. Stat. 34, 911 (1963);
9. D.V. Gokhale and S. Kullback, The Information in Contingency Tables (Marcel Dekker, New York, 1978).