Compact set of invariants characterizing graph states of up to eight qubits

Details Compact set of invariants characterizing graph states of up to eight qubits Compact set of invariants characterizing graph states of up to eight qubits

2009-04-22

arxiv.org/abs/0904.3551v2

Phys. Rev. A 80 (2009) 012102

Physics

Quantum Physics

REVTeX4, 9 pages, 1 figure

Scientific paper

10.1103/PhysRevA.80.012102

The set of entanglement measures proposed by Hein, Eisert, and Briegel for n-qubit graph states [Phys. Rev. A 69, 062311 (2004)] fails to distinguish between inequivalent classes under local Clifford operations if n > 6. On the other hand, the set of invariants proposed by van den Nest, Dehaene, and De Moor (VDD) [Phys. Rev. A 72, 014307 (2005)] distinguishes between inequivalent classes, but contains too many invariants (more than 2 10^{36} for n=7) to be practical. Here we solve the problem of deciding which entanglement class a graph state of n < 9 qubits belongs to by calculating some of the state's intrinsic properties. We show that four invariants related to those proposed by VDD are enough for distinguishing between all inequivalent classes with n < 9 qubits.

Affiliated with

Also associated with

No associations

Rating

Compact set of invariants characterizing graph states of up to eight qubits 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 Compact set of invariants characterizing graph states of up to eight qubits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compact set of invariants characterizing graph states of up to eight qubits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408151