Combinatorial approach to multipartite quantum systems : basic formulation
نویسنده
چکیده
In this paper we give a method to associate a graph with an arbitrary density matrix referred to a standard orthonormal basis in the Hilbert space of a finite dimensional quantum system. We study the related issues like classification of pure and mixed states, Von-Neumann entropy, separability of multipartite quantum states and quantum operations in terms of the graphs associated with quantum states. In particular, we give a necessary and sufficient criterion for a m-partite quantum state to be separable.
منابع مشابه
ua nt - p h / 06 02 05 3 v 2 1 3 Fe b 20 06 Combinatorial approach to multipartite quantum systems : basic formulation
In this paper we give a method to associate a graph with an arbitrary density matrix referred to a standard orthonormal basis in the Hilbert space of a finite dimensional quantum system. We study the related issues like classification of pure and mixed states, Von-Neumann entropy, separability of multipartite quantum states and quantum operations in terms of the graphs associated with quantum s...
متن کاملua nt - p h / 06 02 05 3 v 6 1 8 Ju n 20 07 Combinatorial approach to multipartite quantum systems : basic formulation
In this paper we give a method to associate a graph with an arbitrary density matrix referred to a standard orthonormal basis in the Hilbert space of a finite dimensional quantum system. We study the related issues like classification of pure and mixed states, Von-Neumann entropy, separability of multipartite quantum states and quantum operations in terms of the graphs associated with quantum s...
متن کاملua nt - p h / 06 02 05 3 v 5 9 J an 2 00 7 Combinatorial approach to multipartite quantum systems : basic formulation
In this paper we give a method to associate a graph with an arbitrary density matrix referred to a standard orthonormal basis in the Hilbert space of a finite dimensional quantum system. We study the related issues like classification of pure and mixed states, Von-Neumann entropy, separability of multipartite quantum states and quantum operations in terms of the graphs associated with quantum s...
متن کاملua nt - p h / 06 02 05 3 v 4 12 J ul 2 00 6 Combinatorial approach to multipartite quantum systems : basic formulation
In this paper we give a method to associate a graph with an arbitrary density matrix referred to a standard orthonormal basis in the Hilbert space of a finite dimensional quantum system. We study the related issues like classification of pure and mixed states, Von-Neumann entropy, separability of multipartite quantum states and quantum operations in terms of the graphs associated with quantum s...
متن کاملToric varieties: Simple combinatorial and geometrical structure of multipartite quantum systems
We investigate the geometrical structure of multipartite states based on the construction of toric varieties. We show that the toric variety represents the space of general pure states and projective toric variety defines the space of separable set of multi-qubits states. We also discuss in details the construction of single-, two-, three-, and multiqubits states. This construction gives a very...
متن کامل