Chin. Phys. Lett.  2020, Vol. 37 Issue (3): 034204    DOI: 10.1088/0256-307X/37/3/034204
Asymptotical Locking Tomography of High-Dimensional Entanglement
Ling-Jun Kong1,2, Rui Liu3, Wen-Rong Qi3, Zhou-Xiang Wang3, Shuang-Yin Huang3, Chenghou Tu3, Yongnan Li3**, Hui-Tian Wang1,2**
1National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093
2Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093
3Key Laboratory of Weak-Light Nonlinear Photonics and School of Physics, Nankai University, Tianjin 300071
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Ling-Jun Kong, Rui Liu, Wen-Rong Qi et al  2020 Chin. Phys. Lett. 37 034204
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Abstract High-dimensional (HD) entanglement provides a very promising way of transcending the limitations of the two-dimensional entanglement between qubits for increasing channel capacity in many quantum protocols. In the pursuit of capitalizing on the HD entangled states, one of the central issues is to unambiguously and comprehensively quantify and reconstruct them. The full quantum state tomography is a unique solution, but it is undesirable and even impractical because the measurements increase rapidly in $d^4$ for a bipartite $d$-dimensional quantum state. Here we present a very efficient and practical tomography method—asymptotical locking tomography (ALT), which can harvest full information of bipartite $d$-dimensional entangled states by very few measurements less than $2d^2$ only. To showcase the validity and reasonableness of our ALT, we carry out the test with the two-photon spin-orbital angular momentum hyperentangled states in a four-dimensional subspace. Besides high-efficiency and practicality, our ALT is also universal and can be generalized into multipartite HD entanglement and other quantum systems.
Received: 10 February 2020      Published: 22 February 2020
PACS:  42.30.Va (Image forming and processing)  
  42.30.-d (Imaging and optical processing)  
  42.65.Lm (Parametric down conversion and production of entangled photons)  
Fund: Supported by the National Key R&D Program of China under Grant Nos. 2017YFA0303800 and 2017YFA0303700, the National Natural Science Foundation of China under Grant Nos. 11534006, 91750202, 11774183 and 11674184, and the Collaborative Innovation Center of Extreme Optics.
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Ling-Jun Kong
Rui Liu
Wen-Rong Qi
Zhou-Xiang Wang
Shuang-Yin Huang
Chenghou Tu
Yongnan Li
Hui-Tian Wang
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