The mathematics of a quantum Hamiltonian computing half adder Boolean logic gate

被引：12
|
作者：
Dridi, G. [1 ,2 ]
Julien, R. [1 ,2 ,3 ]
Hliwa, M. [1 ,2 ,4 ]
Joachim, C. [1 ,2 ,5 ]
机构：
[1] CEMES CNRS, Nanosci Grp, F-31055 Toulouse, France
[2] CEMES CNRS, MANA Satellite, F-31055 Toulouse, France
[3] ISAE SUPAERO, Toulouse, France
[4] Univ Hassan II Casablanca, Fac Sci Ben MSik, Casablanca, Morocco
[5] Natl Inst Mat Sci NIMS, Int Ctr Mat Nanoarchitechton MANA, Tsukuba, Ibaraki 3050044, Japan
来源：
NANOTECHNOLOGY | 2015年 / 26卷 / 34期
关键词：
quantum state; quantum computing; logic gates; nanoscale;
D O I：
10.1088/0957-4484/26/34/344003
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
The mathematics behind the quantum Hamiltonian computing (QHC) approach of designing Boolean logic gates with a quantum system are given. Using the quantum eigenvalue repulsion effect, the QHC AND, NAND, OR, NOR, XOR, and NXOR Hamiltonian Boolean matrices are constructed. This is applied to the construction of a QHC half adder Hamiltonian matrix requiring only six quantum states to fullfil a half Boolean logical truth table. The QHC design rules open a nano-architectronic way of constructing Boolean logic gates inside a single molecule or atom by atom at the surface of a passivated semi-conductor.
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页数：8
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