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We study various methods to generate ensembles of quantum density matrices of a fixed size N and analyze the corresponding probability distributions P(x), where x denotes the rescaled eigenvalue, x=N\...
Detecting entanglement of states by entries of their density matrices
Detecting entanglement states by entries their density matrices
2010/11/4
For any bipartite systems, a universal entanglement witness of rank-4 for pure states is obtained and a class of finite rank entanglement witnesses is constructed. In addition, a method of detecting e...
Information geometry of density matrices and state estimation
Information geometry density matrices state estimation
2010/10/18
Given a pure state vector |xi and a density matrix ˆρ, the function p(x|ˆρ) = hx|ˆρ|xi defines a probability density on the space of pure states parameterised by density matrices. The a...
Entangled three-particle states in magnetic field: Periodic correlations and density matrices
quantum entanglement Wigner rotation Lorentz transformation density matrix
2010/3/10
Time evolutions of different types of entangled states of three spin-1/2 particles are studied in the presence of a constant, external magnetic field, which causes the individual spins to precess. Thi...
Bayesian Generalized Probability Calculus for Density Matrices
generalized probability probability calculus density matrix quantum Bayes rule
2010/4/8
One of the main concepts in quantum physics is a density matrix, which is a symmetric positive definite matrix of trace one. Finite probability distributions can be seen as a special case when the den...
Separability and Fourier representations of density matrices
Separability Fourier representations density matrices
2010/10/13
Using the finite Fourier transform, we introduce a generalization of Pauli-spin matrices for ddimensional spaces, and the resulting set of unitary matrices S (d) is a basis for d × d matrices. If N = ...