Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit
Jingjing Niu,Tongxing Yan,Yuxuan Zhou,Ziyu Tao,Xiaole Li,Weiyang Liu,Libo Zhang,Song Liu,Zhongbo Yan,Yuanzhen Chen,Dapeng Yu +10 more
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TLDR
In this paper, a simulation of a two-dimensional second-order topological phase in a superconducting qubit was carried out, where the pseudo-spin texture was measured in momentum space of the bulk for the first time.Citations
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Direct dynamical characterization of higher-order topological insulators with nested band inversion surfaces
TL;DR: In this paper, the authors proposed a rather universal dynamics-based characterization of one large class of higher-order topological insulators (HOTIs) without specifically relying on any symmetry considerations, connecting quantum quench dynamics with nested configurations of the so-called band inversion surfaces (BISs) of momentum-space Hamiltonians.
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Dynamical characterization of quadrupole topological phases in superconducting circuits
TL;DR: In this article, a configuration with higher-order topological phases is constructed, featuring topologically protected boundary states in lower dimension (corner states), and the quadrupole topological phase can be effectively characterized by the dynamics of the single-excitation quantum state.
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Probing higher-order band topology via spin texture measurements: quantum simulation
Linhu Li,Jiangbin Gong +1 more
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Floquet Second-Order Topological Phases in Momentum Space.
TL;DR: In this article, a momentum-space counterpart of HOTPs in time-periodic driven systems, which are demonstrated in a two-dimensional extension of the quantum double-kicked rotor, is revealed.
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Topological holographic quench dynamics in a synthetic dimension
TL;DR: In this article, a pseudo spin model is constructed with ring resonators in a synthetic lattice formed by frequencies of light, and the quench dynamics is induced by initializing a trivial state which evolves under a topological Hamiltonian.
References
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Colloquium: Topological insulators
M. Z. Hasan,Charles L. Kane +1 more
TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
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Topological insulators and superconductors
Xiao-Liang Qi,Shou-Cheng Zhang +1 more
TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
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Classification of topological insulators and superconductors in three spatial dimensions
TL;DR: In this paper, the authors systematically studied topological phases of insulators and superconductors in three dimensions and showed that there exist topologically nontrivial (3D) topologically nonsmooth topological insulators in five out of ten symmetry classes introduced in the context of random matrix theory.
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Classification of topological quantum matter with symmetries
TL;DR: In this article, a review of the classification schemes of both fully gapped and gapless topological materials is presented, and a pedagogical introduction to the field of topological band theory is given.
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Superconducting quantum circuits at the surface code threshold for fault tolerance
Rami Barends,Julian Kelly,A. Megrant,Andrzej Veitia,Daniel Sank,Evan Jeffrey,Ted White,Josh Mutus,Austin G. Fowler,Brooks Campbell,Yu Chen,Zijun Chen,Benjamin Chiaro,Andrew Dunsworth,Charles Neill,Peter O'Malley,Pedram Roushan,Amit Vainsencher,James Wenner,Alexander N. Korotkov,Andrew Cleland,John M. Martinis +21 more
TL;DR: The results demonstrate that Josephson quantum computing is a high-fidelity technology, with a clear path to scaling up to large-scale, fault-tolerant quantum circuits.