String order parameters for one-dimensional Floquet symmetry protected topological phases

String order parameters for one-dimensional Floquet symmetry protected topological phases
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DOI:
10.1103/physrevb.97.224302
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发表时间:
2018-06-04
期刊:
影响因子:
3.7
通讯作者:
Potter, Andrew C.
Potter, Andrew C.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Kumar, Ajesh;Dumitrescu, Philipp T.;Potter, Andrew C.

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Floquet对称保护拓扑相是一种通过时间周期驱动实现的非平衡拓扑相。玻色子、自旋或量子位的一维(1D)链的FSPT相位拥有动态保护的边缘状态,可以存储量子信息而不会退相干,使它们有希望用作量子存储器。虽然FSPT顺序不能检测到任何本地测量,在这里,我们构建非本地字符串顺序参数,直接测量一般的一维FSPT顺序。我们提出了一种基于超导量子比特阵列的最简单的伊辛FSPT相的实现,它可以用现有的量子计算硬件来实现。我们设计了一个干涉方案,直接测量非本地字符串顺序使用简单的一个和两个量子位操作和单量子位测量。
Floquet symmetry protected topological (FSPT) phases are nonequilibrium topological phases enabled by time-periodic driving. FSPT phases of one-dimensional (1D) chains of bosons, spins, or qubits host dynamically protected edge states that can store quantum information without decoherence, making them promising for use as quantum memories. While FSPT order cannot be detected by any local measurement, here we construct nonlocal string order parameters that directly measure general 1D FSPT order. We propose a superconducting-qubit array based realization of the simplest Ising FSPT phase, which can be implemented with existing quantum computing hardware. We devise an interferometric scheme to directly measure the nonlocal string order using only simple one- and two-qubit operations and single-qubit measurements.