Four qubits can be entangled in nine different ways

Details Four qubits can be entangled in nine different ways Four qubits can be entangled in nine different ways

2001-09-06

arxiv.org/abs/quant-ph/0109033v2

Phys. Rev. A, 65: 052112 (2002).

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.65.052112

We consider a single copy of a pure four-partite state of qubits and investigate its behaviour under the action of stochastic local quantum operations assisted by classical communication (SLOCC). This leads to a complete classification of all different classes of pure states of four-qubits. It is shown that there exist nine families of states corresponding to nine different ways of entangling four qubits. The states in the generic family give rise to GHZ-like entanglement. The other ones contain essentially 2- or 3-qubit entanglement distributed among the four parties. The concept of concurrence and 3-tangle is generalized to the case of mixed states of 4 qubits, giving rise to a seven parameter family of entanglement monotones. Finally, the SLOCC operations maximizing all these entanglement monotones are derived, yielding the optimal single copy distillation protocol.

Affiliated with

Also associated with

No associations

Rating

Four qubits can be entangled in nine different ways 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 Four qubits can be entangled in nine different ways, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Four qubits can be entangled in nine different ways will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384890