Physics – Quantum Physics
Scientific paper
2010-10-31
Phys. Rev. A 84, vol. 032306 (2011)
Physics
Quantum Physics
Substantially added content (now 24 pages, 5 figures) with a discussion of the possible mechanism for the transition. One addi
Scientific paper
10.1103/PhysRevA.84.032306
Entanglement within qubits are studied for the subspace of definite particle states or definite number of up spins. A transition from an algebraic decay of entanglement within two qubits with the total number $N$ of qubits, to an exponential one when the number of particles is increased from two to three is studied in detail. In particular the probability that the concurrence is non-zero is calculated using statistical methods and shown to agree with numerical simulations. Further entanglement within a block of $m$ qubits is studied using the log-negativity measure which indicates that a transition from algebraic to exponential decay occurs when the number of particles exceeds $m$. Several algebraic exponents for the decay of the log-negativity are analytically calculated. The transition is shown to be possibly connected with the changes in the density of states of the reduced density matrix, which has a divergence at the zero eigenvalue when the entanglement decays algebraically.
Bhosale Udaysinh T.
Lakshminarayan Arul
Vijayaraghavan Vikram S.
No associations
LandOfFree
Entanglement transitions in random definite particle states 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 Entanglement transitions in random definite particle states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement transitions in random definite particle states will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-663485