LIU Yutong,RONG Shiqi,JIANG Yingxiu,et al.Research of quantum coherent dynamic uncertainty relations based on three channels[J].Journal of Yanbian University,2024,(02):1-7.
基于3种信道的量子相干动态不确定性关系研究
- Title:
- Research of quantum coherent dynamic uncertainty relations based on three channels
- 文章编号:
- 1004-4353(2024)02-0001-07
- Keywords:
- quantum coherence; depolarisation channel; bit phase-flip channel; phase damped channel; uncertainty relation
- 分类号:
- O177.92
- 文献标志码:
- A
- 摘要:
- 为探究去极化信道、比特相位翻转信道、相位阻尼信道这3种信道对量子态相干性的影响,首先基于两组规范正交基,推导出了初始态和经过这些信道后输出态的l1范数相干和的解析表达式,并研究了量子相干和在不同信道下的动态变化.研究表明,在量子信息传输过程中,可以通过改善信道环境提升量子态的相干和的表现.该结果可为量子信息处理和量子通信领域的研究提供参考.
- Abstract:
- In order to investigate the effects of depolarisation channel,bit phase-flip channel and phase-damped channel three channels on the quantum coherence,firstly,analytic expressions for the l1 norm coherent sum of the initial state and the output state through these channels are derived based on two sets of canonical orthogonal bases. Furthermore, the dynamic change of the quantum coherent sum under different channels is studied. It is shown that during the process of quantum information transmission,the coherence and performance of quantum can be improved by optimizing the channel environment. The results can provide valuable references for research in quantum information processing and quantum communication.
参考文献/References:
[1] LIU S Y,FAN H. The application of quantum coherence as a resource[J]. Chinese Physics B,2023,32(11):110304.
[2] 玄东平,胡晓会,南华. 基于l1范数相干度的量子态区分[J].延边大学学报(自然科学版),2021,47(2):131-135.
[3] XUAN D P,HU X H,NAN H. Quantum coherence via skew information for quantum channels[J]. Quant Inf Proc, 2023,22(1):48.
[4] BAUMGRATZ T,CRAMER M,PLENIO M B. Quantifying coherence[J]. Phys Rev Lett,2014,113:140401.
[5] CHENG S M,Hall M J W. Complementarity relations for quantum coherence[J]. Phys Rev A,2015,92:042101.
[6] YUAN X,BAI G,PENG T,et al. Quantum uncertainty relation using coherence[J]. Phys Rev A,2017,96:032313.
[7] SHENG Y H,ZHANG J,TAO Y H,et al. Applications of quantum coherence via skew information under mutually unbiased bases[J]. Quant Inf Proc,2021,20(2):82.
[8] ZHANG F G,LI Y M. Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel[J]. Chinese Physics B,2018,27(9):090301.
[9] NIELSEN M A,CHUANG I L. Quantum computation and quantum information[M]. New York:Cambridge University Press,2000.
相似文献/References:
[1]玄东平,胡晓会,南华*.基于l1范数相干度的量子态区分[J].延边大学学报(自然科学版),2021,47(02):131.
XUAN Dongping,HU Xiaohui,NAN Hua*.Quantum state discrimination based on l1 norm of quantum coherence[J].Journal of Yanbian University,2021,47(02):131.
备注/Memo
投稿日期:2024-03-24
基金项目:2024年延边大学科技发展计划项目(一类量子态的关联性和量子测量的相干性的量化)
第一作者:刘禹彤(2002—),男,硕士研究生,研究方向为应用泛函分析.
通信作者:金艳(1986—),女,助教,研究方向为量子信息与量子计算.