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Qubitization of Bosons

Xinyao Huang, Lang Yu, Xuedong Lu, Yin Yang, De-Sheng Li, Chun-wang Wu, Wei Wu, Pingxing Chen·May 26, 2021
Physics

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Abstract

A binary mapping from Fock space of bosonic state to qubits is given. Based on the binary mapping, we construte an algorithm of qubitization of bosons with complexity O(log(N)). As an example, the algorithm of qubitization of bosons in matrix product state to simulate real time dynamics of Yukawa coupling is realized. The calculation error bar is estimated by random sampling method. This proposal may be achieved in superconductivity noisy intermediate--scale quantum computer not far future.

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