Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

三量子位Heisenberg XXX 链中杂质对

胡明亮 田东平

Published Feb 20, 2007• 0 citations
Publisher

Abstract

研究了含杂质三量子位Heisenberg XXX 链中的纠缠现象, 并给出了纠缠 C 的解析表达式. 结果发现对杂质格点与正常格点间的纠缠, C 只存在于 J 1 > J (当 J > 0时)和 J 1 > 0(当 J C 和纠缠存在的临界温度 T c 均随着 J 1 的增大而增大; 当 J 1 >> | J |时, C = 0.5, T c = 3.41448 J 1 . 对正常格点间的纠缠, C 只存在于 J > 0且-2 J J 1 J , 在该区域内随着 J 1 的增大, 纠缠 C 和纠缠存在的临界温度 T c 均先增大而后逐渐减小为零, 当 J 1 = 0时它们分别达到最大值 C max = (e 4 J / T - 3)/(e 4 J / T + 3)和 T cmax = 4 J /ln3.

DOI
10.1360/2007-37-1-17

Related papers

具有三体相互作用自旋链的量子相干与量子纠缠

杨晶 Jing YANG, 黄燕霞 Yan-xia HUANG

本文研究了具有两种三体相互作用的海森堡XXZ自旋链的量子相干与量子纠缠的特性。研究发现, 量子相干性不会出现突然死亡现象且非零量子相干性存在的温度范围大于量子纠缠存在的温度范围, 说明量子相干性相对于量子纠缠, 具有更强的鲁棒性。在量子临界环境中, 量子相干性可以表征本模型的量子相变现象。在铁磁情形中, 无论外磁场是否为0, 单独调控XZX+YZY三体相互作用对于减缓量子相干性的衰减速率与增大量子相干性存在的温度范围效果最好。在反铁磁情形中, 外磁场为0时, XZX+YZY与XZY-YZX两种三体相互作用的协同作用可以显著增加量子相干性的最大值, 并明显减缓其衰减速率。在铁磁情形与反铁磁情形中都发现当外磁场B<0时, 量子相干性存在的温度范围更大, 更有利于保存量子相干性。

Acta Sinica Quantum Optica•Jan 1, 2023•1 citation

Effects of impurity on the entanglement of the three-qubit Heisenberg XXX spin chain

Hu Ming

We investigate the entanglement of the three-qubit Heisenberg XXX chain in the presence of impurity and obtain the analytical expressions of the concurrence C.It is found that for impurity entanglement,C appears only when J1 J for J 0,and J1 0 for J 0,and in these two regions C increases with the increase of J1,so is the critical temperature Tc.When J1 |J|,C reaches its maximum value 0.5 and Tc reaches the asymptotic value Tc = 3.41448J1.For entanglement between the normal lattices,C appears only when J 0 and 2J J1 J,and initially increases with the increase of J1 and arrives at the maximum value Cmax =(e4JIT-3)/(e4JIT+3)before it decays to zero gradually,so is the critical temperature Tc with,however,the maximum value Tcmax = 4J/ln3.

Science in China. Series G, Physics, mechanics & astronomy/Science in China. Series G, Physics, Mechanics & Astronomy•Jan 1, 2007•0 citations

量子Heisenberg磁性薄膜热动力学性质的研究

袁敏

以量子Heisenberg模型为基础研究了磁性薄膜的热动力学性质.采用变分累积展开方法,以图解方式给出了简立方格点上自旋为1/2的量子Heisenberg磁性薄膜不同晶面的热动力学性质.计算临界约化温度、内能和比热到三级累积展开,分析不同晶面的临界约化温度随原子层数的变化,并对结果进行比较;同时比较和讨论了薄膜原子层数对不同晶面的内能和比热变化的影响.

•Jan 1, 2007•0 citations

量子Heisenberg薄膜临界点的变分累积展开研究

陈洪,郑瑞伦

摘要 采用变分累积展开法研究了超立方格点上任意自旋的量子Heisenberg薄膜的临界点.从自由能的解析性质出发,原则上能计算作为多层膜层数l函数的临界约化温度θ(n)(l)到任意累积展开级次n.给出了θ(n)(l)的前三级解析表达式和数值结果,并对结果作了分析和讨论. Abstract 作者及机构信息 陈洪, 郑瑞伦 1. 西南师范大学物理系,重庆400715 Authors and contacts 1. 西南师范大学物理系,重庆400715 参考文献 施引文献

Acta Physica Sinica•Jan 1, 2000•1 citation

A Topology-Driven Quantum Suitability Estimator for Hybrid QAOA–Classical Pipelines

Rohan Boddu

Abstract Quantum processing units are scarce. Schedulers dispatch Max-Cut subgraphs to them anyway, rarely pausing to ask whether a cheap classical heuristic would have closed the gap just as well. This routing blindness wastes exactly the resource it can least afford to waste. QSE—a Topology-Driven Quantum Suit-ability Estimator—answers a narrower question than either QAOA or a classical heuristic can answer alone. Using only polynomial-time graph topology features, its four-phase pipeline routes each Max-Cut subgraph to the Quantum Approximate Optimization Algorithm (QAOA), to a classical greedy heuristic, or to human review, whichever the topology signal warrants. Central to this decision is a single quantity: the expected greedy gap, f cmax = 1 − ¯ c greedy /c *. It captures how far a 15-ordering-averaged greedy heuristic falls short of the exact Max-Cut optimum—no more, no less. 137 graphs, drawn from 18 structural families at N = 16, clear three pre-registered validation bars. Hardness exists (max(f cmax) = 0.2444); a cross-validated random forest learns it from topology alone (R 2 RF = 0.527 ± 0.11); and, more tellingly, a single feature—transitivity—tracks it almost linearly (|r| = 0.676). Reaching these results required repairing a self-calibrating sign-alignment layer for QAOA simulation, introduced after two earlier implementations silently violated the [0, m] physicality bound on every one of 105 runs; the repair eliminates the violation entirely. Trained on the resulting 105 physically valid QAOA evaluations , a meta-router (regressor R 2 CV = 0.506 ± 0.119; classifier accuracy 76.2%, ROC-AUC 0.834) feeds a production scheduler. That scheduler computes a polynomial-time spectral proxy for hardness and reports per-decision uncertainty as a tree-ensemble spread. Rather than forcing a verdict, ambiguous cases are downgraded to REVIEW. Alongside these results, we document three classes of engineering failure—a Hamiltonian sign-convention bug, a graph-reconstruction seed mismatch, and five fabricated-input bugs in an earlier scheduler—each diagnosed and corrected, since the diagnoses prove as informative as the final numbers.

•Aug 11, 2026•0 citations

潘建伟：与爱因斯坦之谜“纠缠”

佚名

粒子中出现的“纠缠”现象!被爱因斯坦称之为“遥远地点间幽灵般的相互作用”，中国科技大学潘建伟教授始终在和爱因斯坦的这一未解之谜“纠缠”，他和他带领的团队为期3年的不懈努力探索表明，我国对粒子“纠缠”的这一科学研究，已经成功超越了美国、英国、奥地利等发达国家，进入了国际先进水平。34岁的潘建伟获得如此骄人的成绩，他的成功有什么奥秘和诀窍？为了打开人们心中的谜团!记者也先后几次对潘建伟进行了“纠缠”。

科技文萃•Jan 1, 2004•0 citations
研究了含杂质三量子位Heisenberg XXX 链中的纠缠现象, 并给出了纠缠 C 的解析表达式. 结果发现对杂质格点与正常格点间的纠缠, C 只存在于 J 1 > J (当 J > 0时)和 J 1 > 0(当 J C 和纠缠存在的临界温度 T c 均随着 J 1 的增大而增大; 当 J 1 >> | J |时, C = 0.5, T c = 3.41448 J 1 . 对正常格点间的纠缠, C 只存在于 J > 0且-2 J J 1 J , 在该区域内随着 J 1 的增大, 纠缠 C 和纠缠存在的临界温度 T c 均先增大而后逐渐减小为零, 当 J 1 = 0时它们分别达到最大值 C max = (e 4 J / T - 3)/(e 4 J / T + 3)和 T cmax = 4 J /ln3.
本文研究了具有两种三体相互作用的海森堡XXZ自旋链的量子相干与量子纠缠的特性。研究发现, 量子相干性不会出现突然死亡现象且非零量子相干性存在的温度范围大于量子纠缠存在的温度范围, 说明量子相干性相对于量子纠缠, 具有更强的鲁棒性。在量子临界环境中, 量子相干性可以表征本模型的量子相变现象。在铁磁情形中, 无论外磁场是否为0, 单独调控XZX+YZY三体相互作用对于减缓量子相干性的衰减速率与增大量子相干性存在的温度范围效果最好。在反铁磁情形中, 外磁场为0时, XZX+YZY与XZY-YZX两种三体相互作用的协同作用可以显著增加量子相干性的最大值, 并明显减缓其衰减速率。在铁磁情形与反铁磁情形中都发现当外磁场B<0时, 量子相干性存在的温度范围更大, 更有利于保存量子相干性。
We investigate the entanglement of the three-qubit Heisenberg XXX chain in the presence of impurity and obtain the analytical expressions of the concurrence C.It is found that for impurity entanglement,C appears only when J1 J for J 0,and J1 0 for J 0,and in these two regions C increases with the increase of J1,so is the critical temperature Tc.When J1 |J|,C reaches its maximum value 0.5 and Tc reaches the asymptotic value Tc = 3.41448J1.For entanglement between the normal lattices,C appears only when J 0 and 2J J1 J,and initially increases with the increase of J1 and arrives at the maximum value Cmax =(e4JIT-3)/(e4JIT+3)before it decays to zero gradually,so is the critical temperature Tc with,however,the maximum value Tcmax = 4J/ln3.
摘要 采用变分累积展开法研究了超立方格点上任意自旋的量子Heisenberg薄膜的临界点.从自由能的解析性质出发,原则上能计算作为多层膜层数l函数的临界约化温度θ(n)(l)到任意累积展开级次n.给出了θ(n)(l)的前三级解析表达式和数值结果,并对结果作了分析和讨论. Abstract 作者及机构信息 陈洪, 郑瑞伦 1. 西南师范大学物理系,重庆400715 Authors and contacts 1. 西南师范大学物理系,重庆400715 参考文献 施引文献
Abstract Quantum processing units are scarce. Schedulers dispatch Max-Cut subgraphs to them anyway, rarely pausing to ask whether a cheap classical heuristic would have closed the gap just as well. This routing blindness wastes exactly the resource it can least afford to waste. QSE—a Topology-Driven Quantum Suit-ability Estimator—answers a narrower question than either QAOA or a classical heuristic can answer alone. Using only polynomial-time graph topology features, its four-phase pipeline routes each Max-Cut subgraph to the Quantum Approximate Optimization Algorithm (QAOA), to a classical greedy heuristic, or to human review, whichever the topology signal warrants. Central to this decision is a single quantity: the expected greedy gap, f cmax = 1 − ¯ c greedy /c *. It captures how far a 15-ordering-averaged greedy heuristic falls short of the exact Max-Cut optimum—no more, no less. 137 graphs, drawn from 18 structural families at N = 16, clear three pre-registered validation bars. Hardness exists (max(f cmax) = 0.2444); a cross-validated random forest learns it from topology alone (R 2 RF = 0.527 ± 0.11); and, more tellingly, a single feature—transitivity—tracks it almost linearly (|r| = 0.676). Reaching these results required repairing a self-calibrating sign-alignment layer for QAOA simulation, introduced after two earlier implementations silently violated the [0, m] physicality bound on every one of 105 runs; the repair eliminates the violation entirely. Trained on the resulting 105 physically valid QAOA evaluations , a meta-router (regressor R 2 CV = 0.506 ± 0.119; classifier accuracy 76.2%, ROC-AUC 0.834) feeds a production scheduler. That scheduler computes a polynomial-time spectral proxy for hardness and reports per-decision uncertainty as a tree-ensemble spread. Rather than forcing a verdict, ambiguous cases are downgraded to REVIEW. Alongside these results, we document three classes of engineering failure—a Hamiltonian sign-convention bug, a graph-reconstruction seed mismatch, and five fabricated-input bugs in an earlier scheduler—each diagnosed and corrected, since the diagnoses prove as informative as the final numbers.
粒子中出现的“纠缠”现象!被爱因斯坦称之为“遥远地点间幽灵般的相互作用”，中国科技大学潘建伟教授始终在和爱因斯坦的这一未解之谜“纠缠”，他和他带领的团队为期3年的不懈努力探索表明，我国对粒子“纠缠”的这一科学研究，已经成功超越了美国、英国、奥地利等发达国家，进入了国际先进水平。34岁的潘建伟获得如此骄人的成绩，他的成功有什么奥秘和诀窍？为了打开人们心中的谜团!记者也先后几次对潘建伟进行了“纠缠”。