STUDIES ON CLASSIFICATION OF QUANTUM CHANNEL INCLUDING QUANTUM TELEPORTATION AND FORMULATION OF QUANTUM LOGIC GATES

量子通道分类（包括量子隐形传态）和量子逻辑门的制定的研究

基本信息

批准号：
14540138
负责人：
WATANABE Noboru
金额：
$ 2.11万
依托单位：
TOKYO UNIVERSITY OF SCIENCE
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2005
项目状态：
已结题

项目摘要

(1)Study of classification of a quantum channel including quantum teleportationUsual optical communication uses laser as a signal, which is represented by coherent state mathematically. By the way, it is remarked that quite effective communication will be realized by using the squeezed states obtained by squeezing the coherent states. In this study, (i)we construct the mathematical model of squeezing channel which transmits the squeezed states to the output states keeping squeezing property, that is, we construct a squeezing channel under the energy conservation using a squeezing unitary operator defined on symmetric Fock space ; (ii)based on the results of (1), we classified the quantum communication channels such as the coherent channel, the squeezing channel, the photon number channel and so on.(2)Study of construction of quantum logic gateThe irreversibility of the AND and OR gates gives an unavoided demerit in usual computer. One of the solutions of this demerit is a reversible logic gate with three inputs and three outputs introduced by Fredkin and Foffoli, which is called a FT gate. Miburn proposed a physical model of FT gate constructed by a Mach- Zender interferometer and a Kerr device, which is called a FTM gate. We reformulated this FTM gate by using the quantum channel and studied the efficiency of this FTM by means of the quantum mutual entropy. This FTM gate needs the photon number state which might be difficult to realize physicaly for the control gate. In this study, we construct FTM gate using coherent control states instead of the photon number state and we also introduced the new quantum logic gate with four beam splitters.

（1）研究量子通道的分类研究，包括量子远程传送的光学通信将激光用作信号，该信号在数学上以连贯的状态表示。顺便说一句，据指出，通过使用挤压相干状态获得的挤压状态，将实现相当有效的沟通。在这项研究中，（i）我们构建了挤压通道的数学模型，该模型将挤压状态传输到保持挤压特性的输出状态，也就是说，我们使用挤压的单一操作员在能量保护下构建了一个挤压通道；（ii）基于（1）的结果，我们对量子通信通道进行了分类，例如相干通道，挤压通道，光子数渠道等。（2）研究量子逻辑的构建的构建，量子逻辑的不可逆转性不可逆性，在正常的计算机中提供了不可避免的demerit。该范围的解决方案之一是可逆的逻辑门，其中三个输入和三个输出由弗雷德金和foffoli引入，称为ft门。 Miburn提出了由MACHENDER干涉仪和Kerr设备构建的FT门的物理模型，该模型称为FTM门。我们通过使用量子通道重新制定了该FTM栅极，并通过量子相互熵研究了该FTM的效率。该FTM门需要光子数状态，这可能很难实现控制门的物理状态。在这项研究中，我们使用连贯的控制状态而不是光子数状态构建FTM栅极，并且还引入了带有四个梁拆分器的新量子逻辑门。

项目成果

期刊论文数量（88）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

On general Quantum mutual entropy and capacity

关于一般量子互熵和容量

DOI：
发表时间：
2005
期刊：
Foundations of Probability and Physics - 3, American Institute of Physics 750
影响因子：
0
作者：
K.Mitani;S.Oshiro;K.-S.Saito;N.Watanabe
通讯作者：
N.Watanabe

On error probability of FTM gate changing control signals

FTM换门控制信号的错误概率研究