Bi-Heng Liu

Optimized detection of high-dimensional entanglement

Xiao-Min Hu [1,2], Wen-Bo Xing [1,2], Yu Guo [1,2], Mirjam Weilenmann [3], Edgar A. Aguilar [3], Xiaoqin Gao [3,4,5], Bi-Heng Liu [1,2], Yun-Feng Huang [1,2], Chuan-Feng Li [1,2], Guang-Can Guo [1,2], Zizhu Wang [6,3], Miguel Navascués

Abstract

Entanglement detection is one of the most conventional tasks in quantum information processing. While most experimental demonstrations of high-dimensional entanglement rely on fidelity-based witnesses, these are powerless to detect entanglement within a large class of entangled quantum states, the so-called unfaithful states. In this paper, we introduce a highly flexible automated method to construct optimal tests for entanglement detection given a bipartite target state of arbitrary dimension, faithful or unfaithful, and a set of local measurement operators. By restricting the number or complexity of the considered measurement settings, our method outputs the most convenient protocol which can be implemented using a wide range of experimental techniques such as photons, superconducting qudits, cold atoms or trapped ions. With an experimental quantum optics setup that can prepare and measure arbitrary high-dimensional mixed states, we implement some $3$-setting protocols generated by our method. These protocols allow us to experimentally certify 2- and 3-unfaithful entanglement in 4-dimensional photonic states, some of which contain well above 50% of noise.

A photonic quantum interface for hybrid quantum network

Jian Wang, Yun-Feng Huang, Chao Zhang, Jin-Ming Cui, Zong-Quan Zhou, Zhi-Yuan Zhou [1], Jian-Shun Tang [1], Bi-Heng Liu [1], Chuan-Feng Li [1], Guang-Can Guo [1]

Abstract

The hybrid quantum network, a universal form of quantum network which is aimed for quantum communication and distributed quantum computation, is that the quantum nodes in it are realized with different physical systems. This universal form of quantum network can combine the advantages and avoid the inherent defects of the different physical system. However, one obstacle standing in the way is the compatible photonic quantum interface. One possible solution is using non-degenerate, narrow-band, entangled photon pairs as the photonic interface. Here, for the first time, we generate nondegenrate narrow-band polarization-entangled photon pairs in cavity-enhanced spontaneous parametric down-conversion process. The bandwidths and central wavelengths of the signal and idler photons are 9 MHz at 935 nm and 9.5 MHz at 880 nm, which are compatible with trapped ion system and solid-state quantum memory system. The entanglement of the photon source is certified by quantum state tomography, showing a fidelity of 89.6% between the generated quantum state with a Bell state. Besides, a strong violation against Bell inequality with 2.36+/-0.03 further confirms the entanglement property of the photon pairs. Our method is suitable for the hybrid quantum network and will take a big step in this field.

Generation of nondegenerate narrow-band photon pairs for hybrid quantum network

Jian Wang, Peng-YinJie Lv, Jin-Ming Cui, Bi-Heng Liu, Jian-Shun Tang, Yun-Feng Huang [1], Chuan-Feng Li [1], Guang-Can Guo [1]

Abstract

In a hybrid quantum network, linking two kinds of quantum nodes through photonic channels requires excellent matching of central frequency and bandwidth between both nodes and their interfacing photons. However, pre-existing photon sources can not fulfill this requirement. Using a novel conjoined double-cavity strategy, we report the generation of nondegenerate narrow-band photon pairs by cavity-enhanced spontaneous parametric down-conversion. The central frequencies and bandwidths of the signal and idler photons are independently set to match with trapped ions and solid-state quantum memories. With this source we achieve the bandwidths and central frequencies of 4 MHz at 935 nm and 5 MHz at 880 nm for the signal and idler photons respectively, with a normalized spectrum brightness of 4.9/s/MHz/mW. Due to the ability of being independently locked to two different wavelenghts, the conjoined double-cavity is universally suitable for hybrid quantum network consisting of various quantum nodes.