Mutual inductance’s influence to the flux qubits decoherence under super-Ohm thermal reservoir environment

Abstract

Abstract:

Under two-level approximation, made use of the Bloch-Redfield function, studied the flux quantum qubit decoherence in the superconducting qubit circuit affected by the mutual inductance’s influence under the super-Ohm thermal reservoir environment. The results show: (1)Under the super-Ohm thermal reservoir environment, improve the environmental indicators coefficient can help to extend the decoherence time of the superconducting flux qubits , thus improving the magnetic flux qubits decoherence. (2)Building super-Ohm thermal reservoir environment can improve the solid-state qubit decoherence. (3) The effects of the mutual inductance coupling between the inductive elements to the quantum circuit system’s decoherence are more complicate, good regulation of the mutual inductance between the inductive coupling elements can help to improve the decoherence time.

Key words: quantum optics, decoherence, flux quantum qubit, super-Ohm thermal reservoir

CLC Number:

O431

ZOU Xiong ，FENG Bin-bin ，JI Ying-hua . Mutual inductance’s influence to the flux qubits decoherence under super-Ohm thermal reservoir environment[J]. J4, 2012, 29(6): 714-722.

References

[1] Etaki S, Poot M, Mahboob I, Onomitsu K, Yamaguchi H, van der Zant H S J. Motion detection of a micromechanical resonator embedded in a d.c. SQUID [J]. Nature Phys., 2008, 4: 785-788.
[2] 丁智勇,何娟,吴韬. 利用超导量子相干装置一步制备W类纠缠态[J]. 量子电子学报，2010, 27(3) 314-318. Ding Zhiyong, He Juan, Wu Tao. One step for generation of W-class states via superconducting quantum interference devices[J]. Chinese Journal of Quantum Electronics, 2010, 27(3): 314-318;
[3] 何带果,董裕力,方建兴,钱丽,胡洁.纠缠相干态的制备[J]. 量子电子学报，2011, 28(4)： 407-413. He Daiguo, Dong Yuli, Fang Jianxing, Qian Li, Hu Jie. Entangled coherent states: generation[J]. Chinese Journal of Quantum Electronics, 2011, 28(4):407-413.
[4] Johansson J R, Johansson G, Wilson C M, Nori F. Dynamical Casimir effect in a superconducting coplanar waveguide [J]. Phys. Rev. Lett., 2009, 103(14):147003.
[5] Wilson C M, Johansson G, Duty T, Persson F, Sandberg M, Delsing P. Dressed relaxation and dephasing in a strongly driven two-level system [J]. Phys. Rev. B, 2010,81:024520.
[6] Ji Y H, Lai H F, Cai S H, Wang Z S. Controlled decoherence of three-level floating qubit[J]. Chin. Phys. B, 2010, 19:030310.
[7] Dicarlo L, Chow J M, Gambetta J M, Bishop L S, Johnson B R, Schuster D I, Majer J, Blais A, Frunzio L, Girvin S M, Schoelkopf R J. Demonstration of two-qubit algorithms with a superconducting quantum processor [J]. Nature, 2009, 460:240.
[8] 蔡绍洪, 康金平, 张玉强. 激发相干态下介观电感耦合电路的量子效应[J]. 量子电子学报, 2011, 28(5): 605-611. Cai Shaohong, Kang Jinping, Zhang Yuqiang. Quantum effects in inductance coupled mesoscopic circuit at excited coherent stats[J]. Chinese Journal of Quantum Electronics, 2011, 28(5): 605-611.
[9] Zhang J, Peng X, Rajendran N, Suter D. Detection of Quantum Critical Points by a Probe Qubit [J]. Phys. Rev. Lett., 2008, 100:100501.
[10] 嵇英华,徐林. 非马尔科夫环境下耦合超导量子比特纠缠态的纠缠消相干[J].量子电子学报，2011, 28(1) 58-64. Ji Yinghua, Xu Lin. Entanglement decoherence of coupled superconductor qubits entangled states in non-Markovian environment[J]. Chinese Journal of Quantum Electronics, 2011, 28(1): 58-64.
[11] Zhang M, Jia H Y, Wei L F. Jaynes-Cummings Models with trapped electrons on liquid Helium [J]. Phys. Rev. A, 2009, 80: 055801.
[12] Sun G Z, Wei X D, Mao B, Zhou Z Y, Yu Y, Wu P H, Han S Y. Quantum dynamics of a microwave driven superconducting phase qubit coupled to a two-level system [J]. Phys. Rev. B, 2010, 82: 132501.
[13] Yu Y, Zhu S L, Sun G Z, Wei X D, Dong N, Chen J, Wu P H. Quantum jumps between macroscopic quantum states of a superconducting qubit coupled to a microscopic two-level system[J]. Phys. Rev. Lett., 2008, 101: 157001.
[14] Ji Y H, Hu J J. Entanglement and decoherence of coupled superconductor qubits in a non-Markovian environment [J] .2010 ,Chin. Phys. B ,19:060304.
[15] Ji Y H, Liu Y M, Wang Z S. Avoiding the decay of entanglement for coupling two-qubit system interacting with a non-Markov environment [J]. Chin. Phys. B, 2011, 20: 070304.
[16] DiVincenzo D P, Brito F, Koch R H. Decoherence rates in complex Josephson qubit circuits[J]. Phys. Rev. B, 2006, 74: 014514.
[17] Burkard G. Circuit theory for decoherence in superconducting charge qubits [J]. Phys. Rev. B, 2005, 71: 144511.
[18] Burkard G, Koch R H, DiVincenzo David P. Multilevel quantum description of decoherence in superconducting qubits [J]. Phys. Rev ., 2004 , B69: 064503.
[19] Ji Y H, Jiang Y Y . Investigation of decoherence of superconducting flux qubit entangled with the environment [J]. Mod. Phy. Lett. B, 2008, 22(8): 581.
[20] Egger R, Grabert H, Weiss U. Crossover from coherent to incoherent dynamics in damped quantum systems [J]. Phys. Rev. E, 1997, 55: 3809.
[21] Tong N H, Vojta M. Signatures of a noise-induced quantum phase transition in a mesoscopic metal ring [J]. Phys. Rev. Lett., 2006, 97(1): 016802.
[22] Le Hur K, Doucet-Beaupre P, Hofstetter W. Entanglement and criticality in quantum impurity systems [J]. Phys. Rev. Lett., 2007, 99(12): 126801
[23] Pan C T, Cho D C, Wu G Y. Theoretical study of damping in coupled quantum dots[J]. Journal of Physics-Condensed Matter (凝聚态物理杂志) , 2006, 18: 1781.

Mutual inductance’s influence to the flux qubits decoherence under super-Ohm thermal reservoir environment

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	CHEN Liying , HUANG Kun , WANG Qi , YAN Shinong . Design of an integrated vibration detection module based on diamond NV color centers [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 500-509.
[2]	BAI Hailong , BAI Jinhai , HU Dong , WANG Yu . Design and implementation of a compact microwave synthesizer for atomic interference gravimeter [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 510-518.
[3]	LI Songsong. Effects of three-body and four-body interactions on spin squeezing and quantum entanglement in Bose-Einstein condensates [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 519-527.
[4]	LI Yan , . Correlation properties of Bose⁃Fermi mixture with one⁃dimensional strong interaction [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 528-540.
[5]	WANG Sheng , FANG Xiaoming , LIN Yu , ZHANG Tianbing , FENG Bao , YU Yang , WANG Le . Four-intensity decoy-state phase-matching quantum key distribution [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 541-545.
[6]	SUN Yishi , SUN Yi . Parameter prediction of classical-quantum signals co-fiber transmission system based on BP neural network [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 546-559.
[7]	QI Zhiming , LIANG Wenyao . Influence of beam polarizations on holographic fabrication of compound photonic crystals [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 447-457.
[8]	HE Yefeng , , LI Lina ∗ , BAI Qian , CHEN Sihao , QIANG Yuwei . Quantum key distribution of detector’s dead time in heralded single photon source [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 112-119.
[9]	TAN Zhijie , YANG Hairui , , YU Hong , , HAN Shensheng , ∗. Progress on X-ray diffraction imaging via intensity correlation [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 851-862.
[10]	LIN Huizu , ∗ , LIU Weitao , ∗ , SUN Shuai , , DU Longkun , , CHANG Chen , , LI Yuegang , . Progress of algorithms used in ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 863-879.
[11]	WANG Xiaoyan, WANG Zhiyuan, CHEN Ziyang, PU Jixioing ∗. Detection of orbital angular momentum of multiple vortices from speckle via deep learning [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 955-961.
[12]	LI Nengfei , SUN Yusong , , HUANG Jian , ∗. Research on cosine encoded multiplexing high spatial resolution ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 973-982.
[13]	WU Qiong, MA Lei ∗. A quantum image edge detction algorithm based on LoG operator [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 720-727.
[14]	DAI Pan, PANG Zhiguang, LI Jian, WANG Qin ∗. Nonlinear Bell inequality based on entanglement sources [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 761-767.
[15]	ZHOU Xiantao, JIANG Yinghua ∗ , GUO Chenfei, ZHAO Ning, LIU Biao. Quantum secure direct communication protocol based on mixture of GHZ particles and single photon [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 768-775.