Physics – Quantum Physics
Scientific paper
2005-08-31
Phys.Rev.A74:002331,2006
Physics
Quantum Physics
40 pages, 7 figures, 1 table, submitted for publication. v2: section II.E has been changed and the Appendix on "Four qubit sl-
Scientific paper
10.1103/PhysRevA.74.002331
We propose a general method for introducing extensive characteristics of quantum entanglement. The method relies on polynomials of nilpotent raising operators that create entangled states acting on a reference vacuum state. By introducing the notion of tanglemeter, the logarithm of the state vector represented in a special canonical form and expressed via polynomials of nilpotent variables, we show how this description provides a simple criterion for entanglement as well as a universal method for constructing the invariants characterizing entanglement. We compare the existing measures and classes of entanglement with those emerging from our approach. We derive the equation of motion for the tanglemeter and, in representative examples of up to four-qubit systems, show how the known classes appear in a natural way within our framework. We extend our approach to qutrits and higher-dimensional systems, and make contact with the recently introduced idea of generalized entanglement. Possible future developments and applications of the method are discussed.
Akulin V. M.
Mandilara A.
Smilga Andrei. V.
Viola Lorenza
No associations
LandOfFree
Description of Quantum Entanglement with Nilpotent Polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Description of Quantum Entanglement with Nilpotent Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Description of Quantum Entanglement with Nilpotent Polynomials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-116744