Abstract
Most of the existing distillation protocols only work for binary-input binary-output nonlocal boxes (two-dimensional boxes), and they cannot be generalized to the binary-input multi-output nonlocal boxes (high-dimensional boxes) in a trivial way. We will design some comparator-based protocols to distill high-dimensional nonlocal boxes. Our protocols are more powerful and universal than the previous ones in the sense that they can distill the arbitrary-dimensional boxes rather than the limited two-dimensional ones. The initial nonlocalities and the wiring manners between the boxes are two main factors deciding the distillation efficiency.
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Local operations are local classical operations, such as connecting users’ inputs and outputs.
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Acknowledgments
This work is supported by National Natural Science Foundation of China (NSFC) under Grant Nos. 11274010, 11204002, 11374085, 11204061 and 61370090, the Specialized Research Fund for the Doctoral Program of Higher Education (20113401110002, 20123401120003), the Key Project of Chinese Ministry of Education (Nos. 210092, 211080), Anhui Provincial Natural Science Foundation under Grant Nos. 1408085MA20 and 1408085MA16, the Key Program of the Education Department of Anhui Province under Grant Nos. KJ2012A020, KJ2012A244, KJ2013A261, and KJ2012A206, the ‘211’ Project of Anhui University, the Talent Foundation of Anhui University under Grant No. 33190019, the personnel department of Anhui province and the research project of Lu’an city (2010LW027).
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Pan, GZ., Li, C., Yang, M. et al. Nonlocality distillation for high-dimensional correlated boxes. Quantum Inf Process 14, 1321–1331 (2015). https://doi.org/10.1007/s11128-015-0942-z
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DOI: https://doi.org/10.1007/s11128-015-0942-z