Thermal entanglement in an exactly solvable Ising-<i>XXZ</i>diamond chain structure

Rojas, Onofre; Rojas, M.; Ananikian, N. S.; Souza, S. M. de

doi:10.1103/physreva.86.042330

Cited by 75 publications

(109 citation statements)

References 44 publications

Supporting

Mentioning

103

Contrasting

Order By: Relevance

“…This occurs because the systems is in the interphase between the entangled state and the unentangled state at zero temperature (see Ref. [15]). Whereas, in Fig.…”

Section: Fidelity Of Entangled State Tele-portationmentioning

confidence: 99%

“…Following the result obtained in reference [15], the average density operator of Heisenberg spin dimer, is given by…”

Section: B Average Density Operator Of Heisenberg Spin Dimermentioning

confidence: 99%

“…The Ising-XXZ diamond chain was recently studied [15], through a decoration transformation [18,19] and a transfer-matrix approach [20].…”

Section: Quantum Channel Xxz Dimer In An Ising-xxz Diamond Chainmentioning

confidence: 99%

“…Recently, in references [15,16], was investigated the thermal entanglement in some exactly solvable infinite Ising-Heisenberg diamond chain. Later, was also calculated the entanglement for the hybrid diamond chain with Ising spins and electrons mobile [17].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

2017

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…This occurs because the systems is in the interphase between the entangled state and the unentangled state at zero temperature (see Ref. [15]). Whereas, in Fig.…”

Section: Fidelity Of Entangled State Tele-portationmentioning

confidence: 99%

“…Following the result obtained in reference [15], the average density operator of Heisenberg spin dimer, is given by…”

Section: B Average Density Operator Of Heisenberg Spin Dimermentioning

confidence: 99%

“…The Ising-XXZ diamond chain was recently studied [15], through a decoration transformation [18,19] and a transfer-matrix approach [20].…”

Section: Quantum Channel Xxz Dimer In An Ising-xxz Diamond Chainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…Models on diamond chains, exhibiting interesting quantum magnetic phenomena have recently been intensively studied theoretically [17,18,19,20,21,22,23,24,25,26,27]. The interest to this type of system has been increased since experimental work of Kikuchi and co-workers [28,29], where natural mineral azurite (Cu 3 (CO 3 ) 2 (OH) 2 ) has been recognized as an appropriate candidate for diamond chain compound.…”

Section: Introductionmentioning

confidence: 99%

Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising–Heisenberg diamond chain

Abgaryan

Ananikian

Ananikyan

et al. 2015

Solid State Communications

View full text Add to dashboard Cite

Thermal entanglement, magnetic and quadrupole moments properties of the mixed spin-1 2 and spin-1 Ising-Heisenberg model on a diamond chain are considered. Magnetization and quadrupole moment plateaus are observed for the antiferromagnetic couplings. Thermal negativity as a measure of quantum entanglement of the mixed spin system is calculated. Different behavior for the negativity is obtained for the various values of Heisenberg dipolar and quadrupole couplings. The intermediate plateau of the negativity has been observed at absence of the single-ion anisotropy and quadrupole interaction term. When dipolar and quadrupole couplings are equal there is a similar behavior of negativity and quadrupole moment.

show abstract

The Effects of an Impurity in an Ising‐XXZ Diamond Chain on Thermal Entanglement, on Quantum Coherence, and on Quantum Teleportation

2019

View full text Add to dashboard Cite

The effects of an impurity plaquette on the thermal quantum correlations measurement by the concurrence, on the quantum coherence quantified by the recently proposed l1-norm of coherence and on the quantum teleportation in a Ising-XXZ diamond chain are discussed. Such an impurity is formed by the XXZ interaction between the interstitial Heisenberg dimers and the nearest-neighbor Ising coupling between the nodal and interstitial spins. All the interaction parameters are different from those of the rest of the chain. By tailoring them, the quantum entanglement and quantum coherence can be controlled and tuned. Therefore, the quantum resources -thermal entanglement and quantum coherence-of the model exhibit a clear performance improvement in comparison to the original model without impurities. We also demonstrate that the quantum teleportation can be tuned by its inclusion. The thermal teleportation is modified in significant way as well, and a strong increase in average fidelity is observed. We furnish the exact solution by the use of the transfer-matrix method.

show abstract

Thermal entanglement in an exactly solvable Ising-XXZdiamond chain structure

Cited by 75 publications

References 44 publications

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising–Heisenberg diamond chain

The Effects of an Impurity in an Ising‐XXZ Diamond Chain on Thermal Entanglement, on Quantum Coherence, and on Quantum Teleportation

Contact Info

Product

Resources

About