Entangled state teleportation through a couple of quantum channels composed of XXZ dimers in an Ising-XXZ diamond chain
arXiv:1611.04565 · doi:10.1016/j.aop.2016.12.033
Abstract
The quantum teleportation plays an important role in quantum information process, in this sense, the quantum entanglement properties involving an infinite chain structure is quite remarkable because real materials could be well represented by an infinite chain. We study the teleportation of an entangled state through a couple of quantum channels, composed by Heisenberg dimers in an infinite Ising-Heisenberg diamond chain, the couple of chains are considered sufciently far away from each other to be ignored the any interaction between them . To teleporting a couple of qubits through the quantum channel, we need to find the average density operator for Heisenberg spin dimers, which will be used as quantum channels. Assuming the input state as a pure state, we can apply the concept of fidelity as a useful measurement of teleportation performance of a quantum channel. Using the standard teleportation protocol, we have derived an analytical expression for the output concurrence, fidelity, and average fidelity. We study in detail the effects of coupling parameters, external magnetic field and temperature dependence of quantum teleportation. Finally, we explore the relations between entanglement of the quantum channel, the output entanglement and the average fidelity of the system. Through a kind of phase diagram as a function of Ising-Heisenberg diamond chain model parameters, we illustrate where the quantum teleportation will succeed and a region where the quantum teleportation could fail.
arXiv comment8 pages, 10 figures
References in corpus (24)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Experimental quantum teleportation
- Separability Criterion for Density Matrices
- Entanglement of a Pair of Quantum Bits
- Entanglement detection
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Entangled Rings
- Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
- Fidelity of Single Qubit Maps
- Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
- Entanglement teleportation via thermally entangled states of two-qubit Heisenberg XX chain
- Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
- The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
- Generalized Transformation for Decorated Spin Models
- Generalized algebraic transformations and exactly solvable classical-quantum models
- Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
- Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy
- Pairwise thermal entanglement in Ising-XYZ diamond chain structure in an external magnetic field
- Quantum teleportation via a two-qubit Heisenberg XXZ chain-effects of anisotropy and magnetic field
- Direct algebraic mapping transformation for decorated spin models
- Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite
- Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with the localized Ising spins and mobile electrons
- Spinless fermion model on diamond chain
Cited by in corpus (11)
- Unconventional strengthening of a bipartite entanglement of a mixed spin-(1/2,1) Heisenberg dimer achieved through Zeeman splitting
- Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins
- On the effects of an impurity in an Ising- diamond chain on the thermal entanglement, on the quantum coherence and on the quantum teleportation
- Thermal entanglement and quantum coherence of a single electron in a double quantum dot with Rashba Interaction
- Quantum entanglement in the neighborhood of pseudo-transition for a spin-1/2 Ising-XYZ diamond chain
- Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity
- Anisotropy-assisted thermodynamic advantage of a local-spin thermal machine
- Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising-Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids
- Navigating the phase diagram of quantum many-body systems in phase space
- Quantum Magnetism in Fe2Cu2 Polymeric Branched Chains: Insights from Exactly Solved Ising-Heisenberg Model
- Entanglement in a fermionic spin chain containing a single mobile boson under decoherence