具有非平凡边界条件的拓扑保护量子位作为最小约瑟夫森结阵列的一个建议
Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal
摘要：
最近，人们研究了一维闭合梯形约瑟夫森结（G. Cristofano等人，Phys. Lett. A 372（2008）2464）在扭曲共形场论（CFT）方法（G. Cristofano等人，Mod. Phys. Lett. A 15（2000）1679; Nucl.Phys.B641（2002）547），并显示出产生通量分级现象（G. Cristofano等人，EUR. J. B 49（2006）83）。这使我们预测在这样一个系统中出现拓扑秩序（G。Cristofano等人，JSTAT（2005）P03006）。在这封信中，我们分析了各种边界条件下的完全阻挫约瑟夫森结阵列（JJA）的基态和拓扑性质的科尔比诺盘几何排列。特别是最小的配置完全受挫JJA被认为是表现出所需的属性，以建立一个固态量子位，保护退相干。详细分析了JJA的基态在绝热磁通量变化下的稳定性和变换性质，为操纵所提出的量子比特提供了工具。
英文摘要：
Recently a one-dimensional closed ladder of Josephson junctions has been studied (G. Cristofano et al., Phys. Lett. A 372 (2008) 2464) within a twisted conformal field theory (CFT) approach (G. Cristofano et al., Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B 641 (2002) 547) and shown to develop the phenomenon of flux fractionalization (G. Cristofano et al., Eur. Phys. J. B 49 (2006) 83). That led us to predict the emergence of a topological order in such a system (G. Cristofano et al., JSTAT (2005) P03006). In this letter we analyze the ground states and the topological properties of fully frustrated Josephson junction arrays (JJA) arranged in a Corbino disk geometry for a variety of boundary conditions. In particular minimal configurations of fully frustrated JJA are considered and shown to exhibit the properties needed in order to build up a solid state qubit, protected from decoherence. The stability and transformation properties of the ground states of the JJA under adiabatic magnetic flux changes are analyzed in detail in order to provide a tool for the manipulation of the proposed qubit.
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