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Rubik's Cube
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===Unitary representation=== The Rubik's group can be endowed with a [[unitary representation]]: such a description allows the Rubik's Cube to be mapped into a quantum system of few particles, where the rotations of its faces are implemented by unitary operators. The rotations of the faces act as generators of the [[Lie group]].<ref>{{cite journal |author1=S. Corli |author2=L. Moro |author3=D.E. Galli |author4=E. Prati | title=Solving Rubik's Cube via Quantum Mechanics and Deep Reinforcement Learning| journal=[[Journal of Physics A: Mathematical and Theoretical]]| year=2021| volume=54 | issue=5 | pages=425302 |arxiv=2109.07199|doi=10.1088/1751-8121/ac2596|bibcode=2021JPhA...54P5302C |s2cid=237513509 |issn=1751-8113 }}</ref>
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