Chinese Quarterly Journal of Mathematics ›› 2022, Vol. 37 ›› Issue (3): 260-273.doi: 10.13371/j.cnki.chin.q.j.m.2022.03.004

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Simplistic Universal Protocols for Remotely Preparing Arbitrary Equatorial States

  

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Henan
    Engineering Research Center for Artificial Intelligence Theory and Algorithms, Henan University,
    Kaifeng 475004, China; 3. Group of Mathematics, Zhumadian No. 10 Middle School, Zhumadian
    463000, China
  • Received:2022-04-28 Online:2022-09-25 Published:2022-09-19
  • Contact: MA Song-ya (1980-), female, native of Zhoukou, Henan, professor of Henan University, master supervisor, engages in quantum communication E-mail:masongya0829@126.com
  • About author:MA Song-ya (1980-), female, native of Zhoukou, Henan, professor of Henan University, master supervisor, engages in quantum communication; LI Xiang (1993-), male, native of Xinyang, Henan, master of Henan University, engages in quantum communication; LI Qi (1996-), female, native of Xinxiang, Henan, master’s degree candidate of Henan University, engages in quantum communication.
  • Supported by:
     Supported by the National Natural Science Foundation of China (Grant Nos. 62172341,
    62272208).

Abstract:  We first put forward a deterministic protocol to realize the remote preparation
of arbitrary multi-qubit equatorial states via EPR pairs. A set of useful measurement
basis is constructed which plays a key role. The receiver just needs to perform Pauli Z
operations to recover the target state. Comparing with the previous protocols, the recovery
operation is simplified and expressed by a general formula. As there are no universal
protocols for high-dimensional systems, we further generalize to the case of multi-qudit
equatorial states by means of Fourier transformation. It is worth mentioning that the
proposed schemes can be extended to multi-party controlled remote state preparation.
Moreover, we consider the effect of two-type decoherence noises.

Key words:  , Remote state preparation, Multi-qudit equatorial state, Fourier transforma-
tion,
Recovery operation, State-independent average fidelity

CLC Number: