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Optimal dense coding and quantum phase transition in Ising-XXZ diamond chain

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  • Zheng, Yi-Dan
  • Mao, Zhu
  • Zhou, Bin

Abstract

We theoretically propose a dense coding scheme based on an infinite spin-1/2 Ising-XXZ diamond chain, where the Heisenberg spins dimer can be considered as a quantum channel. Using the transfer-matrix approach, we can obtain the analytical expression of the optimal dense coding capacity χ. The effects of anisotropy, external magnetic field, and temperature on χ in the diamond-like chain are discussed, respectively. It is found that χ is decayed with increasing the temperature, while the valid dense coding (χ>1) can be carried out by tuning the anisotropy parameter. Additionally, a certain external magnetic field can stimulate the enhancement of dense coding capacity. In an infinite spin-1/2 Ising-XXZ diamond chain, it has been shown that there exist two kinds of quantum phase transitions (QPTs) in zero-temperature phase diagram, i.e., one is that the ground state of system changes from the unentangled ferrimagnetic state to the entangled frustrated state and the other is from the entangled frustrated state to the unentangled ferromagnetic state. Here, we propose that optimal dense coding capacity χ can be regarded as a new detector of QPTs in this diamond-like chain, and the relationship between χ and QPTs is well established.

Suggested Citation

  • Zheng, Yi-Dan & Mao, Zhu & Zhou, Bin, 2022. "Optimal dense coding and quantum phase transition in Ising-XXZ diamond chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    • Handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121007172
    DOI: 10.1016/j.physa.2021.126444
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    References listed on IDEAS

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    1. Gao, Kun & Xu, Yu-Liang & Kong, Xiang-Mu & Liu, Zhong-Qiang, 2015. "Thermal quantum correlations and quantum phase transitions in Ising-XXZ diamond chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 10-16.
    2. A. Osterloh & Luigi Amico & G. Falci & Rosario Fazio, 2002. "Scaling of entanglement close to a quantum phase transition," Nature, Nature, vol. 416(6881), pages 608-610, April.
    3. Mirmasoudi, F. & Ahadpour, S., 2019. "Application quantum renormalization group to optimal dense coding in transverse Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 232-239.
    4. Qiu, Liang & Wang, An Min & San Ma, Xiao, 2007. "Optimal dense coding with thermal entangled states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 325-330.
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