Transferring information through a mixed-five-spin chain channel

Abstract

We initially introduce one-dimensional mixed-five-spin chain with Ising-XY model which includes mixture of spins-1/2 and spins-1. Here, it is considered that nearest spins (1, 1/2) have Ising-type interaction and nearest spins (1/2, 1/2) have both XY -type and Dzyaloshinskii-Moriya (DM) interactions together. Nearest spins (1, 1) have XX Heisenberg interaction. This system is in the vicinity of an external homogeneous magnetic field B in thermal equilibrium state. We promote the quantum information transmitting protocol verified for a normal spin chain with simple model (refer to Rossini D, Giovannetti V and Fazio R 2007 Int. J. Quantum Infor. 5 439) (widely in reference: Giovannetti V and Fazio R 2005 Phys. Rev. A 71 032314) by means of considering the suggested mixed-five-spin chain as a quantum communication channel for transmitting both qubits and qutrits ideally. Hence, we investigate some useful quantities such as quantum capacity and quantum information transmission rate for the system. Finally, we conclude that, when the DM interaction between spins (1/2, 1/2) increases the system is a more ideal channel for transmitting information.

Total Pairwise Quantum Correlation and Entanglement in a Mixed-Three-Spin Ising-XYModel with Added Dzyaloshinskii—Moriya Interaction under Decoherence

“…) that describe the noise channels A and B, with 𝑝 = 1−exp(−𝜅𝑡), where 𝜅 is the phase damping rate, and 0 ≤ 𝑝 ≤ 1. The evolved state of such a bipartite (sub)system under phase flip channel is described as a completely positive trace preserving map ℳ[𝜌(A B)] = ∑︀ 𝑖,𝑗 [47] we proved that a mixed-spin chain with the two adjacent mixed-three-spin (1/2, 1, 1/2) cells can be an ideal memory-less channel for transferring quantum information). Figure 1 depicts the concurrence and GGQD behaviors versus the magnetic field under the phase flip channel.…”