Dissertation > Excellent graduate degree dissertation topics show

Separability of the density matrix of the graph

Author: WangZhen
Tutor: WangZhiZuo
School: Capital Normal University
Course: Basic mathematics
Keywords: Laplacian matrix density matrix of a graph separable state entangled state
CLC: O157.5
Type: Master's thesis
Year: 2006
Downloads: 65
Quote: 0
Read: Download Dissertation

Abstract


The density matrix of a graph is the combinatorial laplacian of the graph normalized to have unit trace. Our propose is to research the separability of the density matrix of a graph on n = mpq vertices. We test the separability of the density matrix by researching the simple combinatorial condition (the "degree condition"), The condition is directly related to the PPT-criterion. It is proved that the degree condition is necessary for separability of tripartite states, then we conjecture that it is also sufficient. In fact, we point out that it is true for the density matrix of the nearest point graph. At last we will give examples to test and verify the conclusion.

Related Dissertations

  1. Preparation of Multi-qubit Entangled States Via Atomic Cavity QED,O431.2
  2. The Study on Pairwise Thermal Entanglement in a Ring of N Spin Particles,O413
  3. The Study on the Entanglement Degree in Two-qubit Quantum Heisenberg Models,O413
  4. Preparation and Application of Entangled Photons,O431.2
  5. Theoretical Study on Grover Quantum Search Algorithm,O431.2
  6. Quantum entangled state the nature of some applications in quantum information science,O413.1
  7. The symmetric quantum entanglement with the relative entropy of entanglement,O413.1
  8. Developing the Phase Space Theory in Quantum Mechanics by Virtue of the Entangled State Representation and the Technique of Integration Within an Ordered Product (IWOP) of Operators,O413.1
  9. Control of Continuous Variable Entanglement and Transport in Quantum Dot,O431.2
  10. Studies on Long Distance Quantum Communication,O413
  11. Research on Quantum Simulation and Entanglement Witness,O431.2
  12. On the Spectrum and the Laplacian Spectrum of a Graph,O157.5
  13. The Transfer of Arbitrary Two Qubit Pure State in the Spin Chains,O413
  14. On Spontaneus Emission of Broadening Atoms and Quantum Entangled States in Cavity QED,O431.2
  15. Certain problems in quantum information theory,O413
  16. Preparation and manipulation of multi - particle entanglement,O431.2
  17. Theoretical and Experimental Investigation for the Quantum Communication with Continuous Variables,TN911
  18. Long - distance quantum communication,TN918
  19. Quantum State Preparation and Quantum Information Processing in Cavity QED,O431.2
  20. Quantum Gate and Entanglement,O413.1
  21. Optical Transformation:From Quantum Optics to Classical Optics,O431.2

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Graph Theory
© 2012 www.DissertationTopic.Net  Mobile