Geometric Measure of Entanglement for some classes of pure states
نویسندگان
چکیده
We have calculated the analytic expression of GME for arbitrary superposition of two N -qubitW states and two GHZ states. We have also derived the GME for a generic class of states, which is not permutation invariant and of M copies of a pure state. A nice comparison between GHZ and W states w.r.t. GME has been drawn.
منابع مشابه
An Experimentally Accessible Geometric Measure for Entanglement in N-qubit Pure States
We present a multipartite entanglement measure for N -qubit pure states, using the norm of the correlation tensor which occurs in the Bloch representation of the state. We compute this measure for several important classes of N -qubit pure states such as GHZ states, W states and their superpositions. We compute this measure for interesting applications like one dimensional Heisenberg antiferrom...
متن کاملConnections between relative entropy of entanglement and geometric measure of entanglement
quantum information, entanglement measures As two of the most important entanglement measures the entanglement of formation and the entanglement of distillation have so far been limited to bipartite settings, the study of other entanglement measures for multipartite systems appears necessary. Here, connections between two other entanglement measures the relative entropy of entanglement and the ...
متن کاملThe geometric measure of entanglement for a symmetric pure state with non-negative amplitudes
Articles you may be interested in Geometric descriptions of entangled states by auxiliary varieties Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates In this paper for a class of symmetric multiparty pure states, we consider a conjecture related to the geometric measure of entanglement: " for a symm...
متن کاملدرهمتنیدگی سامانههای سهبخشی بوزونی فراتر از تقریب تک مد در چارچوب شتابدار
In this work, we generalize the entanglement of three-qbit Bosonic systems beyond the single-mode approximation when one of the observers is accelerated. For this purpose, we review the effects of acceleration on field modes and quantum states. The single-mode approximation and beyond the single-mode approximation methods are introduced. After this brief introduction, the main problem of this p...
متن کاملGeometric Measure of Quantum Entanglement for Multipartite Mixed States
The geometric measure of quantum entanglement of a pure state, defined by its distance to the set of pure separable states, is extended to multipartite mixed states. We characterize the nearest disentangled mixed state to a given mixed state with respect to the geometric measure by means of a system of equations. The entanglement eigenvalue for a mixed state is introduced. And we show that, for...
متن کامل