Logic Masters Deutschland e.V.

This puzzle is designed to demonstrate a physical phenomenon from quantum mechanics. Understanding this isn't required to solve the puzzle, but an appendix document is provided for any solvers interested in the underlying physics.

• Normal Sudoku rules apply.
• Digits along an arrow must sum to the digit in that arrow's circle.
• Several optical components have been placed in the grid:
  • Cells with grey squares contain even digits showing the number of photons emitted in both indicated directions from that cell. Photons always travel orthogonally.
  • Cells with grey circles contain odd digits and beam splitters (blue slashes). When a photon hits a beam splitter, it is reflected or transmitted, each with 1/2 probability.
  • Grey slashes are mirrors and simply reflect photons.
  • Green squares are detectors and show the expected number of photons to arrive in their cell. Photons are absorbed by detectors.
  • The pink square is a pass-through detector, which works the same way as the other detectors but does not absorb or redirect photons, letting them pass through.
  • The arrangement with two beam splitters and no detector between them cannot be modelled using normal probability; instead photons from the same starting cell always hit the same detector.

Solve on F-Puzzles

Solve on CTC webapp

The puzzle contains four variations of the same arrangement of optics, plus some extra mirrors. Solvers are encouraged to prove that using normal probability in the arrangement referenced in the last rule breaks the puzzle. In the real world, this is due to a physical phenomenon called quantum interference, the reasons for which are explained in this document:

Download PDF