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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Quantum permutation puzzles with indistinguishable particles

arXiv
Authors: Noah Lordi, Maedee Trank-Greene, Akira Kyle, Joshua Combes

Year

2024

Paper ID

37506

Status

Preprint

Abstract Read

~2 min

Abstract Words

121

Citations

N/A

Abstract

Permutation puzzles, such as the Rubik's Cube and the 15 puzzle, are enjoyed by the general public and mathematicians alike. Here we introduce quantum versions of permutation puzzles where the pieces of the puzzles are replaced with indistinguishable quantum particles. The moves in the puzzle are achieved by swapping or permuting the particles. We show that simply permuting the particles can be mapped to a classical permutation puzzle, even though the identical particles are entangled. However, we obtain a genuine quantum puzzle by adding a quantum move: the square root of SWAP. The resulting puzzle cannot be mapped to a classical permutation puzzle. We focus predominately on the quantization of the 2times 2 slide puzzle and briefly treat the 2times 2 times 1 Rubik's Cube.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • Permutation puzzles, such as the Rubik's Cube and the 15 puzzle, are enjoyed by the general public and mathematicians alike.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.22287 [2] arXiv https://arxiv.org/abs/2410.22287 [3] Publisher https://arxiv.org/abs/2410.22287

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