Abstract
At present, there are some quantum summation protocols calculating the addition in a bit-by-bit way so that they are inefficient and unpractical in certain circumstances. In this paper, a secure multi-party quantum summation protocol within a d-level quantum system is constructed by using the qudit shifting operation, where the encoded photons are transmitted in a circular way. The proposed protocol can calculate the addition of modulo d in an integer-by-integer way rather than a bit-by-bit way. The security analysis result shows that the proposed protocol is secure against both the outside attack and the participant attack.
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Ming-Yi, D. Multi-Party Quantum Summation within a d-Level Quantum System. Int J Theor Phys 59, 1638–1643 (2020). https://doi.org/10.1007/s10773-020-04431-2
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DOI: https://doi.org/10.1007/s10773-020-04431-2