Letters in Mathematical Physics

, Volume 77, Issue 1, pp 31–39 | Cite as

Quantum State Reconstruction of Many Body System Based on Complete Set of Quantum Correlations

  • X. F. Liu
  • C. P. Sun


We propose and study a universal approach for the reconstruction of quantum states of many body systems from symmetry analysis. The concept of minimal complete set of quantum correlation functions (MCSQCF) is introduced to describe the state reconstruction. As an experimentally feasible physical object, the MCSQCF is mathematically defined through the minimal complete subspace of observables determined by the symmetry of quantum states under consideration. An example with broken symmetry is analyzed in detail to illustrate the idea.


quantum state reconstruction quantum correlation function 

Mathematics Subject Classifications (2000)



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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of Mathematics and LMAMPeking UniversityBeijingChina
  2. 2.Institute of Theoretical PhysicsThe Chinese Academy of ScienceBeijingChina

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