Abstract
Exploring the basic features of solid-state systems is a crucial route for reaping their quantum advantages. Quantum dots (QDs) emerge as a flexible substrate for technical advances in computing power and nanodevices. In this regard, a proposed model to inspect the behavior of thermal correlations in terms of local quantum Fisher information and local quantum uncertainty in double QDs with the interplay of Rashba spin–orbit interaction is examined. The Rashba spin–orbit interaction is externally adjustable and can be used to tune the quantum correlations present in the system. Consequently, we show that the dynamics of logarithmic negativity, skew information, and local quantum Fisher information change in terms of the Rashba coupling, the double QDs’ parameters, and temperature. Importantly, we also demonstrate that we can tweak specific parameters to preserve quantum resources in the system. These observations give a solid grasp of the quantum features of such a quantum dot system, showing promise for establishing quantum technologies.
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References
C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W.K. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70(13), 1895–1899 (1993)
K. El Anouz, A. El Allati, N. Metwally, Teleportation two-qubit state by using two different protocols. Opt. Quant. Electron. 51(6), 1–16 (2019)
M. Mansour, Z. Dahbi, Quantum secret sharing protocol using maximally entangled multi-qudit states. Int. J. Theor. Phys. 59(12), 3876–3887 (2020)
K. El Anouz, A. El Allati, F. Saif, Study different quantum teleportation amounts by solving Lindblad master equation. Phys. Scr. 97(3), 035102 (2022)
K.E. Artur, Quantum Cryptography and Bell’s Theorem. In Quantum Measurements in Optics, pages 413–418. Springer US, (1992)
A. El Allati, H. Amellal, N. Metwally, S. Aliloute, Entanglement and quantum teleportation via dissipative cavities. Opt. Laser Technol. 116, 13–17 (2019)
H. Michal, H. Pawel, H. Ryszard, On the necessary and sufficient conditions for separability of mixed quantum states. (1996) arXiv preprint quant-ph/9605038
W.K. Wootters, Entanglement of Formation of an Arbitrary State of Two Qubits. Phys. Rev. Lett. 80(10), 2245–2248 (1998)
G. Vidal, R.F. Werner, Computable measure of entanglement. Phys. Rev. A 65(3), 032314 (2002)
M.B. Plenio, Logarithmic negativity: a full entanglement monotone that is not convex. Phys. Rev. Lett. 95(9), 090503 (2005)
M. Mansour, Z. Dahbi, Entanglement of bipartite partly non-orthogonal \(\frac{1}{2}\)-spin coherent states. Laser Phys. 30(8), 085201 (2020)
M. Mansour, Z. Dahbi, M. Essakhi, A. Salah, Quantum correlations through spin coherent states. Int. J. Theor. Phys. 60(6), 2156–2174 (2021)
H. Ollivier, W.H. Zurek, Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88(1), 017901 (2001)
M.H. Ali Saif, L. Behzad, S.J. Pramod, Tight lower bound to the geometric measure of quantum discord. Phys. Rev. A, 85(2), February (2012)
F. Ciccarello, T. Tufarelli, V. Giovannetti, Toward computability of trace distance discord. New J. Phys. 16(1), 013038 (2014)
D. Girolami, T. Tufarelli, G. Adesso, Characterizing nonclassical correlations via local quantum uncertainty. Phys. Rev. Lett. 110(24), 240402 (2013)
E.P. Wigner, M.M. Yanase, Information contents of distributions. Proc. Natl. Acad. Sci. 49(6), 910–918 (1963)
B. Ye, Z. Zhang, Quantum correlated coherence and Hellinger distance in the critical systems. Mod. Phys. Lett. A 36(02), 2150002 (2020)
A. Sbiri, M. Mansour, Y. Oulouda, Local quantum uncertainty versus negativity through Gisin states. Int. J. Quantum Inf. 19(05), 2150023 (2021)
A. Sbiri, M. Oumennana, M. Mansour, Thermal quantum correlations in a two-qubit Heisenberg model under Calogero-Moser and Dzyaloshinsky-Moriya interactions. Mod. Phys. Lett. B 36(09), 2150618 (2022)
C. Yang, Y.-N. Guo, H.-P. Peng, L. Yi-Bing, Dynamics of local quantum uncertainty for a two-qubit system under dephasing noise. P. Soc. Photo-opt. Ins. 30(1), 015203 (2019)
M. Essakhi, Y. Khedif, M. Mansour, M. Daoud, Intrinsic decoherence effects on quantum correlations dynamics. Opt. Quantum Electron. 54(2), 1–15 (2022)
S. Elghaayda, Z. Dahbi, M. Mansour, Local quantum uncertainty and local quantum Fisher information in two-coupled double quantum dots. Opt. Quantum Electron. 54(7), 1–15 (2022)
E. Chaouki, Z. Dahbi, M. Mansour, Dynamics of quantum correlations in a quantum dot system with intrinsic decoherence effects. Int. J. Mod. Phys. B, p. 2250141, (2022)
S. Kim, L. Li, A. Kumar, W. Junde, Characterizing nonclassical correlations via local quantum Fisher information. Phys. Rev. A 97(3), 032326 (2018)
K. El Anouz, A. El Allati, Teleporting quantum Fisher information under Davies-Markovian dynamics. Phys. A 596, 127133 (2022)
K. El Anouz, A. El Allati, N. Metwally, T. Mourabit, Estimating the teleported initial parameters of a single- and two-qubit systems. Appl. Phys. B 125(1), 1–15 (2018)
K. El Anouz, A. El Allati, A. Salah, F. Saif, Quantum fisher information: probe to measure fractional evolution. Int. J. Theor. Phys. 59(5), 1460–1474 (2020)
A. Mark, Reed. Quantum Dots. Sci. Am. 268(1), 118–123 (1993)
D. Loss, D.P. DiVincenzo, Quantum computation with quantum dots. Phys. Rev. A 57(1), 120–126 (1998)
J.R. Petta, A.C. Johnson, J.M. Taylor, E.A. Laird, A. Yacoby, M.D. Lukin, C.M. Marcus, M.P. Hanson, A.C. Gossard, Coherent manipulation of coupled electron spins in semiconductor quantum dots. Science 309(5744), 2180–2184 (2005)
F. Bodoky, W. Belzig, C. Bruder, Connection between noise and quantum correlations in a double quantum dot. Phys. Rev. B 77(3), 035302 (2008)
H.A. Mansour, F.-Z. Siyouri, M. Faqir, M.E. Baz, Quantum correlations dynamics in two coupled semiconductor InAs quantum dots. Phys. Scr. 95(9), 095101 (2020)
V. Galitski, I.B. Spielman, Spin-orbit coupling in quantum gases. Nature 494(7435), 49–54 (2013)
X. Wen, Y. Guo, Rashba and Dresselhaus spin-orbit coupling effects on tunnelling through two-dimensional magnetic quantum systems. Phys. Lett. A 340(1–4), 281–289 (2005)
G. Dresselhaus, Spin-orbit coupling effects in zinc blende structures. Phys. Rev. 100(2), 580–586 (1955)
Y.A. Bychkov, É.I. Rashba, Properties of a 2D electron gas with lifted spectral degeneracy. JETP Lett. 39(2), 78 (1984)
Y.A. Bychkov, E.I. Rashba, Oscillatory effects and the magnetic susceptibility of carriers in inversion layers. J. Phys. C Solid State Phys. 17(33), 6039–6045 (1984)
M. Ferreira, O. Rojas, M. Rojas. Thermal entanglement and quantum coherence of a single electron in a double quantum dot with Rashba Interaction. arXiv preprint arXiv:2203.06301, (2022)
T. Chakraborty, P. Pietiläinen, Electron correlations in a quantum dot with Bychkov-Rashba coupling. Phys. Rev. B 71(11), 113305 (2005)
E. Tsitsishvili, G.S. Lozano, A.O. Gogolin, Rashba coupling in quantum dots: an exact solution. Phys. Rev. B 70(11), 115316 (2004)
V. Vedral, The role of relative entropy in quantum information theory. Rev. Mod. Phys. 74(1), 197–234 (2002)
C.W. Helstrom, Quantum detection and estimation theory. J. Stat. Phys. 1(2), 231–252 (1969)
M.G. Genoni, S. Olivares, M.G.A. Paris, Optical phase estimation in the presence of phase diffusion. Phys. Rev. Lett. 106(15), 153603 (2011)
F. Chapeau-Blondeau, Entanglement-assisted quantum parameter estimation from a noisy qubit pair: a Fisher information analysis. Phys. Lett. A 381(16), 1369–1378 (2017)
V. Giovannetti, S. Lloyd, L. Maccone, Quantum-enhanced measurements: beating the standard quantum limit. Science 306(5700), 1330–1336 (2004)
S.F. Huelga, C. Macchiavello, T. Pellizzari, A.K. Ekert, M.B. Plenio, J.I. Cirac, Improvement of frequency standards with quantum entanglement. Phys. Rev. Lett. 79(20), 3865–3868 (1997)
F. Chapeau-Blondeau, Optimizing qubit phase estimation. Phys. Rev. A 94(2), 022334 (2016)
B.-L. Ye, B. Li, Z.-X. Wang, X. Li-Jost, S.-M. Fei, Quantum Fisher information and coherence in one-dimensional XY spin models with Dzyaloshinsky-Moriya interactions. Sci. China Phys. Mech. Astron. 61(11), 1–7 (2018)
M.G.A. Paris, Quantum estimation for quantum technology. Int. J. Quantum Inf. 7(1), 125–137 (2009)
G. Karpat, B. Çakmak, F.F. Fanchini, Quantum coherence and uncertainty in the anisotropic XY chain. Phys. Rev. B 90(10), 104431 (2014)
J.-L. Guo, J.-L. Wei, W. Qin, M. Qing-Xia, Examining quantum correlations in the XY spin chain by local quantum uncertainty. Quantum Inf. Process. 14(4), 1429–1442 (2015)
S. Luo, Wigner-Yanase skew information vs. quantum Fisher information. Proc. Am. Math. Soc. 132(3), 885–890 (2003)
S. Luo, Wigner-Yanase skew information and uncertainty relations. Phys. Rev. Lett. 91(18), 180403 (2003)
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MM conceived of the presented idea. ZD; KE and MO performed the analytic calculations and graphical tasks. All authors have contributed to interpreting the results. All authors have contributed to writing the manuscript. All authors have read and agreed to the final version of the manuscript.
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Dahbi, Z., Oumennana, M., Anouz, K.E. et al. Quantum Fisher information versus quantum skew information in double quantum dots with Rashba interaction. Appl. Phys. B 129, 27 (2023). https://doi.org/10.1007/s00340-022-07963-z
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DOI: https://doi.org/10.1007/s00340-022-07963-z