Abstract
We report the experimental implementation of quantum permutation algorithm using polarization and orbital angular momentum of the classical optical beam. The easy-handling optical setup to realize all eight cyclic permutation transformations for an input four-dimensional system has been constructed. The two-to-one speed-up ratio to determine the parity of each permutation has been demonstrated. Moreover, we have theoretically discussed the extension to the case with eight elements, and the limitations on the generalization of our proposal to higher-dimensional cases. Our scheme exhibits outstanding stability and demonstrates that optical quantum computation is possible using classical states of light.
Highlights
In the past decades, the subject of quantum computation has attracted widespread interest both in the fields of theoretical quantum physics [1] and computer science [2] due to its potential computational power
In this work we explore how to realize the quantum permutation algorithm with the orbital angular momentum (OAM) and polarization DOFs of the classical light beams
OAM and polarization can be chosen as two proper DOFs to encode the four basis states of one ququart, and we describe them by a slightly modified version of the bra-ket notation of quantum states for clarity as [33]
Summary
Any further distribution of We report the experimental implementation of quantum permutation algorithm using polarization this work must maintain and orbital angular momentum of the classical optical beam. The easy-handling optical setup to attribution to the author(s) and the title of realize all eight cyclic permutation transformations for an input four-dimensional system has been the work, journal citation and DOI. The two-to-one speed-up ratio to determine the parity of each permutation has been demonstrated. We have theoretically discussed the extension to the case with eight elements, and the limitations on the generalization of our proposal to higher-dimensional cases. Our scheme exhibits outstanding stability and demonstrates that optical quantum computation is possible using classical states of light
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