,The Strategic Form of Quantum Prisoners' Dilemma

来源 :中国物理快报(英文版) | 被引量 : 0次 | 上传用户:wolffing
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
In a normal form,prisoners dilemma (PD) is represented by a payoff matrix showing players strategies and payoffs.To obtain the distinguishing trait and strategic form of PD,certain constraints are imposed on the elements of its payoff matrix.We quantize PD by a generalized quantization scheme to analyze its strategic behavior in the quantum domain.The game starts with a general entangled state of the form [(¢) =cos ε/2 |00〉 +isin ε/2|11〉 and the measurement for payoffs is performed in entangled and product bases.We show that for both measurements,there exist respective cutoff values of entanglement of the initial quantum state up to which the strategic form of the game remains intact.Beyond these cutoffs the quantized PD behaves like the chicken game (CG) up to another cutoff value.For the measurement in the entangled basis the dilemma is resolved for sinξ > 1/7 with Q (○) Q as a Nash Equilibrium (NE).However,the quantized game behaves like PD when sinξ > 1/3;whereas in the range 1/7 < sinξ < 1/3 it behaves like CG with Q(○)Q as an NE.For the measurement in the product basis the quantized PD behaves like classical PD for sin2 ε/2 < 1/3 with D (○) D as an NE.In region 1/3 < sin2 ε/2 < 3/7,the quantized PD behaves like classical CG with C (○) D and D (○) C as NEs.
其他文献
随着ISFET性能的改进和种类的增多,有关其应用研究愈来愈深入。到目前为止,实验室内的应用研究已取得了可喜的进展;这予示着在不久的将来,在生物医学、临床诊断和分析化学等
文中介绍固定式塔式起重机基础有关稳定性等三个方面技术要求、常见问题 ,以及地耐力不足时基础加固和验算方法。 The article introduces the technical requirements, com
Anomalous diffusion in one dimension is characterized by the mean square displacement (MSD) ~ 2Dtα,which is deviated from normal diffusion.[1,2] It is subdiffus
期刊
对三速电机变极调速的特性进行了分析,并结合其在塔机电气自控系统中的应用和实践加以论述.
主要介绍该公司自产的砼布料机的特殊作业和安装方法、工作原理、性能及应用情况。 Introduce the special operation and installation method, working principle, perfor
我国现有的高空作业平台普遍采用汽车底盘改装而成,行驶性能和驾驶性能取决于所选择的汽车底盘.现有产品注重高空作业车的行驶性能和驾驶性能,但忽视了施工现场道路的复杂情
We develop a frequency-tunable two-color continuous variable entangled state and demonstrate the entanglement distribution over a telecom single mode fiber.One
期刊
The thermal entanglement in the spin-S Heisenberg XY Z model is studied in detail by using the entanglement measure of negativity.The effects of spin on the the
期刊
介绍建筑物不很高的情况下 ,设在建筑物中间的塔机的拆卸方法及机具的选用 Introduction to the case of buildings is not very high, the tower located in the middle of
庞大复杂的建筑精品呼唤性能卓越、安全可靠的优质建筑机械 ,而及时快捷的售后保修体系又是优质设备正常运行的技术保障 ,那么如何满足来自天涯海角急切的求救呢 ?传统的遣人