|
|
|
Probing dephasing and non-Markovian effects on three-qubit states |
| Muhammad Noman1, Aqsa Mushtaq2, and Wei Cui(崔巍)1,3,† |
1 School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China;
2 Center for High Energy Physics, University of the Punjab, Lahore 54590, Pakistan;
3 Quantum Science Center of Guangdong-Hong Kong-Macau Greater Bay Area, Shenzhen 518000, China |
|
|
|
|
Abstract We investigate the dynamical maps of coherence, entanglement, and purity in two distinct three-qubit class states: the Werner (W-like) and Greeneberger-Horne-Zeillinger (GHZ-like) states. Utilizing a classical channel affected by Ornstein Uhlenbeck (OU) and Random Telegraph (RT) noise, we explore two scenarios: coupling two qubits with RT noise and one with OU noise, and vice versa. The preservation of coherence, entanglement, and purity is analyzed using the $\ell_1$ norm of coherence, entanglement witness operation, and purity measures. Our results reveal that the considered dephasing channels lead to a decrease in initially encoded quantum correlations, even in the presence of Gaussian OU noise, which typically induces monotonic decay. The non-monotonic behavior and decay are primarily governed by the parameters of OU and RT noises, with the configuration where OU noise affects two qubits and RT noise affects the third being optimal for quantum correlation preservation. Comparing the two states, the GHZ-like state exhibits superior preservation under RT noise influencing two local fields and qubits, while the W-like state performs better when OU noise affects two qubits. Overall, the GHZ-like state shows enhanced revival characteristics compared to the W-like state.
|
Received: 30 September 2025
Revised: 27 October 2025
Accepted manuscript online: 28 October 2025
|
|
PACS:
|
03.65.Yz
|
(Decoherence; open systems; quantum statistical methods)
|
|
| Fund: Project supported by the Fund from Guangdong Provincial Quantum Science Strategic Initiative (Grant Nos. GDZX2505001 and GDZX2303009), the National Natural Science Foundation of China (Grant No. 62273154), and the TCL Science and Technology Innovation Fund (Grant No. 20242062). |
Corresponding Authors:
Wei Cui
E-mail: aucuiwei@scut.edu.cn
|
Cite this article:
Muhammad Noman, Aqsa Mushtaq, and Wei Cui(崔巍) Probing dephasing and non-Markovian effects on three-qubit states 2026 Chin. Phys. B 35 050302
|
[1] Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[2] Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[3] Corrected entry: Breuer H P and Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
[4] Hornberger K 2009 Introduction to Decoherence Theory in Entanglement and Decoherence, eds. A Buchleitner, C Viviescas and M Tiersch (Berlin, Heidelberg: Springer) pp. 221-276
[5] Hein M, Dür W and Briegel H J 2005 Phys. Rev. A 71 032350
[6] Dajka J and Luczka J 2010 Phys. Rev. A 82 012341
[7] Ban M 2012 Phys. Rev. A 85 042110
[8] Head-Marsden K, Flick J, Ciccarino C J and Narang P 2020 Chem. Rev. 121 3061
[9] Dür W, Vidal G and Cirac J I 2000 Phys. Rev. A 62 062314
[10] Gao X, Ma Z and Qin G 2019 J. Phys. A: Math. Theor. 52 475301
[11] Rahman A U, Haddadi S, Javed M, Kenfack L T and Ullah A 2022 Quantum Inf. Process. 21 368
[12] Gottesman D 1998 Phys. Rev. A 57 127
[13] Li T, Luo S and Li Y 2012 Phys. Rev. A 86 032334
[14] SenDe A and Sen U 2010 Phys. Rev. A 81 012308
[15] Javed M, Salim S, Said S, Shah K and Ur Rahman A 2024 Laser Phys. 34 035202
[16] Streltsov A, Singh U, Dhar H S, Bera M N and Adesso G 2015 Phys. Rev. Lett. 114 210401
[17] Yuan X, Zhou H, Cao Z and Ma X 2016 Sci. Rep. 6 29260
[18] Bromley T R, Cianciaruso M and Adesso G 2016 Phys. Rev. A 93 060303
[19] Wang Y T, Tang J S, Huang Y F, Li C F and Guo G C 2020 Sci. China- Phys. Mech. Astron. 63 230322
[20] Hu M L, Hu X, Wang J C, Peng Y, Zhang Y R and Fan H 2018 Phys. Rep. 762-764 1
[21] Baumgratz T, Cramer M and Plenio M B 2014 Phys. Rev. Lett. 113 140401
[22] Streltsov A, Adesso G and PlenioMB 2017 Rev. Mod. Phys. 89 041003
[23] Corrected entry: Greenberger D M, Horne M A and Zeilinger A 1989 Going Beyond Bell’s Theorem in Bell’s Theorem, Quantum Theory and Conceptions of the Universe, ed. Kafatos M (Dordrecht: Springer) pp. 69-72
[24] Dür W, Vidal G and Cirac J I 2000 Phys. Rev. A 62 062314
[25] Harraz S, Cong S and Nieto J J 2022 Int. J. Quantum Inform. 20 2250007
[26] Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[27] Cunha M, Fonseca A and Silva E O 2019 Universe 5 209
[28] Vidal G 2002 J. Mod. Opt. 49 355
[29] Štelmachovič P and Bužek V 2004 Phys. Rev. A 70 032313
[30] Sen A, Sen U and Lewenstein M 2007 Phys. Rev. A 72 052319
[31] Corrected entry: Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge: Cambridge University Press)
[32] Corrected entry: Breuer H P and Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
[33] Yu T and Eberly J H 2004 Phys. Rev. Lett. 93 140404
[34] Benedetti C and Paris M G A 2014 Phys. Rev. A 89 012114
[35] Paladino E, Galperin Y M, Falci G and Altshuler B L 2014 Rev. Mod. Phys. 86 361
[36] Volpe G and Wehr J 2016 Rep. Prog. Phys. 79 053901
[37] Rahman A U, Javed M, Ji Z and Ullah A 2021 J. Phys. A: Math. Theor. 55 025305
[38] Benabdallah F, Rahman A U, Haddadi S and Daoud M 2022 Phys. Rev. E 106 034122
[39] Rahman A U, Noman M, Javed M, Luo M X and Ullah A 2021 Quantum Inf. Process. 20 290
[40] Rahman A U, Haddadi S, Javed M, Kenfack L T and Ullah A 2022 Quantum Inf. Process. 21 368
[41] Rossi M A C, Benedetti C and Paris M G A 2014 Int. J. Quantum Inf. 12 1560003
[42] Kenfack L T, et al. 2017 Physica B 511 123
[43] Benedetti C and Paris M G A 2014 Phys. Lett. A 378 2495
[44] Corrected entry: Ferrante P, Nicolosi S, Scaccianoce G and Rizzo G 2008 arXiv: 0804.0365 [quant-ph]
[45] Mirza I M 2015 J. Mod. Opt. 62 1048
[46] del Pino J, Feist J and Garcia-Vidal F J 2015 New J. Phys. 17 053040
[47] Buchhold M, Strack P, Sachdev S and Diehl S 2013 Phys. Rev. A 87 063622
[48] Corrected entry: Spagnolo B, Guarcello C, Magazzu L, Carollo A, Adorno D P and Valenti D 2017 Entropy 19 20
[49] Hung K K, Ko P K, Hu C and Cheng Y C 1990 IEEE Electron Device Lett. 11 90
[50] Uren M J, Day D J and Kirton M 1985 Appl. Phys. Lett. 47 1195
[51] Kenfack L T, Tchoffo M, Jipdi M N, Fuoukeng G C and Fai L C 2018 J. Phys. Commun. 2 055011
[52] Corrected entry: van Zelst S J, Fani Sani M, Ostovar A, Conforti R and La Rosa M 2018 Filtering Spurious Events from Event Streams of Business Processes in Advanced Information Systems Engineering (CAiSE 2018), eds. J Krogstie and H Reijers Lecture Notes in Computer Science 10816 (Cham: Springer) pp. 35-52
[53] Marcuzzi M, Schick J, Olmos B and Lesanovsky I 2014 J. Phys. A: Math. Theor. 47 482001
[54] Chrusciński D and Sarbicki G 2014 J. Phys. A: Math. Theor. 47 483001
[55] Acín A, Bruß D, Lewenstein M and Sanpera A 2001 Phys. Rev. Lett. 87 040401
[56] Branciard C, Rosset D, Liang Y C and Gisin N 2013 Phys. Rev. Lett. 110 060405
[57] Schlosshauer M 2019 Phys. Rep. 831 1
[58] Serafini A, Paris M G, Illuminati F and De Siena S 2005 J. Opt. B: Quantum Semiclassical Opt. 7 R19
[59] Ming F, Wang D, Fan X G, Shi W N, Ye L and Chen J L 2020 Phys. Rev. A 102 012206
[60] Maassen H and Uffink J B 1988 Phys. Rev. Lett. 60 1103
[61] Berta M, Christandl M, Colbeck R, Renes J M and Renner R 2010 Nat. Phys. 6 659
[62] Bera M N, Prabhu R, Pati A K, SenDe A and Sen U 2012 Phys. Rev. A 86 042105
[63] Recommended corrected entry: Hu M L and Fan H 2013 Phys. Rev. A 87 022314
[64] Pramanik T, Chowdhury P and Majumdar A S 2013 Phys. Rev. A 88 014105 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
