QUANTUM-DOT CELLULAR AUTOMATA

HEFEIUNIVERSITYOFTECHNOLOGY量子元胞自动机Quantum-DotCellularAutomataHEFEIUNIVERSITYOFTECHNOLOGY提纲1.研究背景2.新型器件3.QCA分类及实现4.电QCAHEFEIUNIVERSITYOFTECHNOLOGY物理极限光刻工艺功耗散热1.研究背景HEFEIUNIVERSITYOFTECHNOLOGY2.新型器件HEFEIUNIVERSITYOFTECHNOLOGYQCA于1993年由CSLent等人提出运算速度快（THZ）低功耗器件密度大（10^12/cm^2)2.新型器件HEFEIUNIVERSITYOFTECHNOLOGY3.ACQ分类及实现1.金属QCA（元胞）2.分子QCA（元胞）3.磁QCA（磁畴）HEFEIUNIVERSITYOFTECHNOLOGY1.金属QCA3.ACQ分类及实现最早用于实验验证制造方法：电子束蚀刻金属岛4个量子点：D1、D2、D3、D4SET静电计：E1、E2条件苛刻，要求温度极低HEFEIUNIVERSITYOFTECHNOLOGY2.分子QCA氧化还原中心作为量子点桥接配位体作为隧道结3.ACQ分类及实现可在室温下实现HEFEIUNIVERSITYOFTECHNOLOGY3.磁QCA基本元胞为纳米磁体3.ACQ分类及实现稳定、可在室温下实现HEFEIUNIVERSITYOFTECHNOLOGY元胞极化值P13241234P11P扭结能Ek极化相反与极化相同时的库仑能差值44,11014ijklijijklrklqqErr,,,koppositepolarizationsamepolarizationijijijEEEP=01234P=-1P=14.电QCAHEFEIUNIVERSITYOFTECHNOLOGY邻域（影响半径R）4.电QCARadiusofeffectIncludedNotincludedThecellisalsoincludedbecauseitscenterisinthecircleHEFEIUNIVERSITYOFTECHNOLOGYN个元胞体系哈密顿量4.电QCA,,1212kijjijikiijjjEPHEPHEFEIUNIVERSITYOFTECHNOLOGY哈特里-福克近似仅考虑元胞间的静电作用而不考虑量子相干双稳态iiHtHEFEIUNIVERSITYOFTECHNOLOGY,2,222kijjjikijjjEPPEP稳态时，时间导数为0HEFEIUNIVERSITYOFTECHNOLOGY动力学方程表示态矢量向稳态矢量的螺旋进动1ssddt态矢量（温度）TTxyzxyz态矢量zzP基态21xP0yHEFEIUNIVERSITYOFTECHNOLOGY,210kijjjEP热平衡时态密度矩阵BBHkTssHkTeTretanhssssTr2BkT稳态矢量热比哈密顿量4.电QCAHEFEIUNIVERSITYOFTECHNOLOGY4.电QCA稳态时，时间导数为02,2,2,222tanh2kijjkjijjjikBijjjEPEPPkTEPHEFEIUNIVERSITYOFTECHNOLOGY考虑两个元胞系统4.电QCA222222tanh2kjkjiBkjEPEPPkTEPHEFEIUNIVERSITYOFTECHNOLOGYQCA元胞类型4.电QCAP=-1P=1P=1P=-1旋转元胞正常元胞逻辑0逻辑1HEFEIUNIVERSITYOFTECHNOLOGYQCA基本器件单元1.择多门4.电QCA,,MABCABACBCMaj3ABCF三输入择多门HEFEIUNIVERSITYOFTECHNOLOGY4.电QCA,,,,MABCDEABCABDABEACDACEADEBCDBCEBDECDE五输入择多门HEFEIUNIVERSITYOFTECHNOLOGY4.电QCA与门FAB,,0MABAB,,1,0,0MABABHEFEIUNIVERSITYOFTECHNOLOGY4.电QCA或门FAB,,1MABAB,,0,1,1MABABHEFEIUNIVERSITYOFTECHNOLOGY2.反相器4.电QCAFAHEFEIUNIVERSITYOFTECHNOLOGY3.传输线4.电QCA传输线反向链HEFEIUNIVERSITYOFTECHNOLOGY4.交叉结构4.电QCA共面交联异面交联HEFEIUNIVERSITYOFTECHNOLOGY4.电QCA时钟四个时钟区域,每个时钟都与前一个时钟相差90°作用1.控制信号同步2.提供能量HEFEIUNIVERSITYOFTECHNOLOGY4.电QCAQCA电路全加器M3M3M3AiBiCiSiCi+1((,,),((,,),,),)iiiiiiiiiiiiiiiiiiiiiiSABCABCABCABCMMABCMMABCBCA1,,iiiiiiiiiiCABABBCMABCHEFEIUNIVERSITYOFTECHNOLOGYQCA缺陷4.电QCA1.元胞移位2.元胞未对准3.元胞缺失ABCFABCFABCFHEFEIUNIVERSITYOFTECHNOLOGY4.电QCA1.贝叶斯网络概率网络，基于概率推理的图形化网络，且在计算机智能科学、工业控制、医疗诊断等领域的许多智能化系统中得到了重要的应用。InputOutput12345(,)(/)()PABPABPB(1,2,3,4,5)(5/4,3,2,1)(4/3,2,1)(3/2,1)(2/1)(1)PxxxxxPxxxxxPxxxxPxxxPxxPxQCA电路可靠性分析HEFEIUNIVERSITYOFTECHNOLOGYX2X3X4X5X1InputOutput影响半径r=2影响半径r=1X2X3X4X5X1InputOutput(1,2,3,4,5)(5/4)(4/3)(3/2)(2/1)(1)PxxxxxPxxPxxPxxPxxPx(1,2,3,4,5)(5/4,3)(4/3,2)(3/2,1)(2/1)(1)PxxxxxPxxxPxxxPxxxPxxPx4.电QCA()pax()chx父节点子节点(/())Pxpax条件概率HEFEIUNIVERSITYOFTECHNOLOGY4.电QCA*11(0/())((),())ssPxpaxpaxchx*22(1/())((),())ssPxpaxpaxchx1111tanh2ssE2211tanh2ssE*()()(()())()argmaxargmaxkichxchxiPaXChXchxE()12kiiNeXEE22EBkTHEFEIUNIVERSITYOFTECHNOLOGYX2X3X4X5X1InputOutput影响半径r=2HEFEIUNIVERSITYOFTECHNOLOGYInputOutput010pq1qp2.概率转移矩阵（PTM）概率转移矩阵的构建主要是对电路的输入序列与输出序列情况进行罗列，并对正确输出与可能的错误输出的概率进行假设以传输线为例p：正确概率q：错误概率1pqwirepqTqp4.电QCAHEFEIUNIVERSITYOFTECHNOLOGY4.电QCAABAB(a)串联结构(a)并联结构TBTATATBSiAiBiCiCi+1M1M2M3S1S2S3S4S5S6S7S8I1I212232223224253632783sTfTfTfsTwTcTcTwTwsTwTwTcTcTwsTwTwTwTcTwTwsTwTwTiTwTmsTmTwTfsTwTwTiTwsTmTwHEFEIUNIVERSITYOFTECHNOLOGY12345678Q=1/8(T(1,2)+T(1,3)+T(1,4)+T(2,1)+T(2,2)+T(2,4)+T(3,1)+T(3,2)+T(3,4)+T(4,1)+T(4,3)+T(4,4)+T(5,1)+T(5,2)+T(5,4)+T(6,1)+T(6,3)+T(6,4)+T(7,1)+T(7,3)+T(7,4)+T(8,1)+T(8,2)+T(8,3))Tssssssss4.电QCAHEFEIUNIVERSITYOFTECHNOLOGYQCA仿真软件4.电QCAQCADesigner2005年由加拿大K.Walus等人编写仿真引擎CoherenceVectorBistableApproximationHEFEIUNIVERSITYOFTECHNOLOGY谢谢