Physics – Quantum Physics
Scientific paper
2008-09-03
Phys. Rev. A 78, 032324 (2008)
Physics
Quantum Physics
5 pages; v2.: few typos corrected
Scientific paper
10.1103/PhysRevA.78.032324
We calculate exact convergence times to reach random bipartite entanglement for various random protocols. The eigenproblem of a Markovian chain governing the process is mapped to a spin chain, thereby obtaining exact expression for the gap of the Markov chain for any number of qubits. For protocols coupling nearest neighbor qubits and CNOT gate the mapping goes to XYZ model while for U(4) gate it goes to an integrable XY model. For coupling between a random pair of qubits the mapping is to an integrable Lipkin-Meshkov-Glick model. In all cases the gap scales inversely with the number of qubits, thereby improving on a recent bound in [Phys.Rev.Lett. 98, 130502 (2007)].
No associations
LandOfFree
Exact convergence times for generation of random bipartite entanglement 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 Exact convergence times for generation of random bipartite entanglement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact convergence times for generation of random bipartite entanglement will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-104183