Quantum Entanglement Dynamics and Concurrence Preservation in a Noisy Two-Qubit System with External Control Field

1. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki (2009). “Quantum entanglement”. Reviews of Modern Physics 81, 865–942, arXiv:quant-ph/0702225. Horodecki R. Horodecki P. Horodecki M. Horodecki K. ( 2009 ). “Quantum entanglement” . Reviews of Modern Physics 81 , 865 – 942 , arXiv:quant-ph/0702225 Search in Google Scholar

2. C. G. Timpson (2013). Quantum Information Theory and the Foundations of Quantum Mechanics. Oxford University Press. Timpson C. G. ( 2013 ) . Quantum Information Theory and the Foundations of Quantum Mechanics . Oxford University Press Search in Google Scholar

3. G. Vidal and R. F. Werner (2002). “Computable measure of entanglement”. Physical Review A 65, 032314. Vidal G. Werner R. F. ( 2002 ). “Computable measure of entanglement” . Physical Review A 65 , 032314 Search in Google Scholar

4. N.J. Cerf and C. Adami (1998). “Quantum information theory of entanglement”. Physica D 120, 62–81, arXiv:quant-ph/9605039. Cerf N. J. Adami C. ( 1998 ). “Quantum information theory of entanglement” . Physica D 120 , 62 – 81 , arXiv:quant-ph/9605039 Search in Google Scholar

5. J. Emerson, D. Gottesman, S. A. H. Mousavian, and V. Veitch (2014). “The resource theory of stabilizer quantum computation”. New Journal of Physics 16: 1, 013009, arXiv:1307.7171 [quant-ph]. Emerson J. Gottesman D. Mousavian S. A. H. Veitch V. ( 2014 ). “The resource theory of stabilizer quantum computation” . New Journal of Physics 16 : 1 , 013009 , arXiv:1307.7171 [quant-ph] Search in Google Scholar

6. S. Pirandola et al. (2020). “Advances in quantum cryptography”. Advances in Optics and Photonics 12: 4, 1012–1236, arXiv:1906.01645 [quant-ph]. Pirandola S. ( 2020 ). “Advances in quantum cryptography” . Advances in Optics and Photonics 12 : 4 , 1012 – 1236 , arXiv:1906.01645 [quant-ph] Search in Google Scholar

7. N. Laflorencie (2016). “Quantum entanglement in condensed matter systems”. Physics Reports 646, 1–59, arXiv:1512.03388 [cond-mat.str-el]. Laflorencie N. ( 2016 ). “Quantum entanglement in condensed matter systems” . Physics Reports 646 , 1 – 59 , arXiv:1512.03388 [cond-mat.str-el] Search in Google Scholar

8. L. Amico, R. Fazio, A. Osterloh, and V. Vedral (2008). “Entanglement in many-body systems”. Reviews of Modern Physics 80, 517–576, arXiv:quant-ph/0703044. Amico L. Fazio R. Osterloh A. Vedral V. ( 2008 ). “Entanglement in many-body systems” . Reviews of Modern Physics 80 , 517 – 576 , arXiv:quant-ph/0703044 Search in Google Scholar

9. A. Streltsov, U. Singh, H. S. Dhar, M. N. Bera, and G. Adesso (2015). “Measuring Quantum Coherence with Entangle-ment”. Physical Review Letters 115: 2, 020403, arXiv:1502.05876 [quant-ph]. Streltsov A. Singh U. Dhar H. S. Bera M. N. Adesso G. ( 2015 ). “Measuring Quantum Coherence with Entangle-ment” . Physical Review Letters 115 : 2 , 020403 , arXiv:1502.05876 [quant-ph] Search in Google Scholar

10. P. V. Klimov et al. (2024). “Optimizing quantum gates towards the scale of logical qubits”. Nature Communications 15: 1, 2442, arXiv:2308.02321 [quant-ph]. Klimov P. V. ( 2024 ). “Optimizing quantum gates towards the scale of logical qubits” . Nature Communications 15 : 1 , 2442 , arXiv:2308.02321 [quant-ph] Search in Google Scholar

11. M.-H. Hsieh, I. Devetak, and T. Brun (2007). “General entanglement-assisted quantum error-correcting codes”. Physical Review A 76, 062313. Hsieh M. -H. Devetak I. Brun T. ( 2007 ). “General entanglement-assisted quantum error-correcting codes” . Physical Review A 76 , 062313 Search in Google Scholar

12. M.-L. Hu, X.-Q. Xi, and H.-L. Lian (2009). “Thermal and phase decoherence effects on entanglement dynamics of the quantum spin systems”. Physica B: Condensed Matter 404: 20, 3499–3506. Hu M. -L. Xi X. -Q. Lian H. -L. ( 2009 ). “Thermal and phase decoherence effects on entanglement dynamics of the quantum spin systems” . Physica B: Condensed Matter 404 : 20 , 3499 – 3506 Search in Google Scholar

13. J. Zhang (2013). “Entanglement dynamics of two-qubit pure state”. Quantum Information Processing 12, 1627–166. Zhang J. ( 2013 ). “Entanglement dynamics of two-qubit pure state” . Quantum Information Processing 12 , 1627 – 166 Search in Google Scholar

14. J. Feng-Jian, S. Ming-Jun, and D. Jiang-Feng (2011). “Entanglement dynamics of arbitrary two-qubit pure states under amplitude and phase damping channels”. Chinese Physics Letters 28: 2, 020308–020308. Feng-Jian J. Ming-Jun S. Jiang-Feng D. ( 2011 ). “Entanglement dynamics of arbitrary two-qubit pure states under amplitude and phase damping channels” . Chinese Physics Letters 28 : 2 , 020308 – 020308 Search in Google Scholar

15. L. S. Silveira and R. M. Angelo (2017). “Classical-hidden-variable description for entanglement dynamics of two-qubit pure states”. Physical Review A 95, 062105. Silveira L. S. Angelo R. M. ( 2017 ). “Classical-hidden-variable description for entanglement dynamics of two-qubit pure states” . Physical Review A 95 , 062105 Search in Google Scholar

16. M. A. Nielsen, I. L. Chuang (1992). Quantum Computation and Quantum Information. Cambridge University Press. Nielsen M. A. Chuang I. L. ( 1992 ) . Quantum Computation and Quantum Information . Cambridge University Press Search in Google Scholar

17. C. H. Bennett and S. J. Wiesner (1992). “Communication via one-and two-particle operators on einstein-podolsky-rosen states”. Physical Review Letters 69, 2881–2884. Bennett C. H. Wiesner S. J. ( 1992 ). “Communication via one-and two-particle operators on einstein-podolsky-rosen states” . Physical Review Letters 69 , 2881 – 2884 Search in Google Scholar

18. C. H. Bennett (1992). “Quantum cryptography using any two nonorthogonal states”. Physical Review Letters 68, 3121–3124. Bennett C. H. ( 1992 ). “Quantum cryptography using any two nonorthogonal states” . Physical Review Letters 68 , 3121 – 3124 Search in Google Scholar

19. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters (1993). “Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels”. Physical Review Letters 70, 1895–1899. Bennett C. H. Brassard G. Crépeau C. Jozsa R. Peres A. Wootters W. K. ( 1993 ). “Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels” . Physical Review Letters 70 , 1895 – 1899 Search in Google Scholar

20. G. Lindblad (1976). “On the generators of quantum dynamical semigroups”. Communications in Mathematical Physics 48, 119–130. Lindblad G. ( 1976 ). “On the generators of quantum dynamical semigroups” . Communications in Mathematical Physics 48 , 119 – 130 Search in Google Scholar

21. K.-T. Guo, M.-C. Liang, H.-Y. Xu, and C.-B. Zhu (2011). “Entanglement in a two-spin (1/2, 3/2) mixed-spin Heisenberg XX chain with an inhomogeneous external magnetic field”. Science China Physics, Mechanics & Astronomy 54, 491–495. Guo K. -T. Liang M. -C. Xu H. -Y. Zhu C. -B. ( 2011 ). “Entanglement in a two-spin (1/2, 3/2) mixed-spin Heisenberg XX chain with an inhomogeneous external magnetic field” . Science China Physics, Mechanics & Astronomy 54 , 491 – 495 Search in Google Scholar

22. V. Eisler and Z. Zimborás (2005). “Entanglement in the xx spin chain with an energy current”. Physical Review A 71, 042318. Eisler V. Zimborás Z. ( 2005 ). “Entanglement in the xx spin chain with an energy current” . Physical Review A 71 , 042318 Search in Google Scholar

23. X. S. Ma (2008). “Thermal entanglement of a two-qutrit xx spin chain with dzialoshinski–moriya interaction”. Optics Communications 281: 3, 484–488. Ma X. S. ( 2008 ). “Thermal entanglement of a two-qutrit xx spin chain with dzialoshinski–moriya interaction” . Optics Communications 281 : 3 , 484 – 488 Search in Google Scholar

24. S. Hill and W. K. Wootters (1997). “Entanglement of a pair of quantum bits”. Physical Review Letters 78, 5022–5025, arXiv:quant-ph/9703041. Hill S. Wootters W. K. ( 1997 ). “Entanglement of a pair of quantum bits” . Physical Review Letters 78 , 5022 – 5025 , arXiv:quant-ph/9703041 Search in Google Scholar

25. W. K. Wootters (1998). “Entanglement of formation of an arbitrary state of two qubits”. Physical Review Letters 80, 2245–2248, arXiv:quant-ph/9709029. Wootters W. K. ( 1998 ). “Entanglement of formation of an arbitrary state of two qubits” . Physical Review Letters 80 , 2245 – 2248 , arXiv:quant-ph/9709029 Search in Google Scholar

26. K. S. A. R. Conn and L. N. Vicente (2009). “Introduction to derivative-free optimization”. MPS-SIAM Book Series on Optimization. Conn K. S. A. R. Vicente L. N. ( 2009 ). “Introduction to derivative-free optimization” . MPS-SIAM Book Series on Optimization Search in Google Scholar

27. H.-P. Breuer and F. Petruccione (2002). The Theory of Open Quantum Systems. Oxford University Press. Breuer H. -P. Petruccione F. ( 2002 ) . The Theory of Open Quantum Systems . Oxford University Press Search in Google Scholar

28. H.-h. Miao and W.-s. Li (2025). “Entanglement and quantum discord in the cavity QED models”. Heliyon 11, 41194, arXiv:2307.07352 [quant-ph]. Miao H. -h. Li W. -s. ( 2025 ). “Entanglement and quantum discord in the cavity QED models” . Heliyon 11 , 41194 , arXiv:2307.07352 [quant-ph] Search in Google Scholar