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18 papers · 2 filters
Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
Hui Jiang, Enhong Cheng, Ziyu Zhou +1
We study the nonlinear perturbation of a high-order exceptional point (EP) of the order equal to the system site number in a Hatano-Nelson model with unidirectional hopping and…
State-independent Nonadiabatic Geometric Quantum Gates
Yan Liang, Pu Shen, Li-Na Ji +1
Quantum computation has demonstrated advantages over classical computation for special hard problems, where a set of universal quantum gates is essential. Geometric phases, which h…
Robust and Fast Quantum State Transfer on Superconducting Circuits
Xiao-Qing Liu, Jia Liu, Zheng-Yuan Xue
Quantum computation attaches importance to high-precision quantum manipulation, where the quantum state transfer with high fidelity is necessary. Here, we propose a new scheme to i…
Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
Bofeng Zhu, Li-Jun Lang, Qiang Wang +2
We study one-dimensional lattices with imaginary-valued Aubry-Andre-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ fr…
Exact quantum dynamics for two-level systems with time-dependent driving
Zhi-Cheng He, Yi-Xuan Wu, Zheng-Yuan Xue
It is well-known that time-dependent Schrödinger equation can only be exactly solvable in very rare cases, even for two-level quantum systems. Therefore, finding exact quantum dyna…
Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
Ze-Hao Huang, Peng He, Li-Jun Lang +1
We propose a general quantum circuit based on the swap test for measuring the quantity of an arbitrary operator with respect to two quantum stat…