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Euler%u2019s%20243-Year-Old%20%u2018Impossible%u2019%20Puzzle%20Gets%20a%20Quantum%20Solution%20%7C%20Quanta%20Magazine: But%20whereas%20Euler%20thought%20no%20such%206-by-6%20square%20exists%2C%20recently%20the%20game%20has%20changed.%20In%20a%20paper%20posted%20online%20and%20submitted%20to%20Physical%20Review%20Letters%2C%20a%20group%20of%20quantum%20physicists%20in%20India%20and%20Poland%20demonstrates%20that%20it%20is%20possible%20to%20arrange%2036%20officers%20in%20a%20way%20that%20fulfills%20Euler%u2019s%20criteria%20%u2014%20so%20long%20as%20the%20officers%20can%20have%20a%20quantum%20mixture%20of%20ranks%20and%20regiments.%20The%20result%20is%20the%20latest%20in%20a%20line%20of%20work%20developing%20quantum%20versions%20of%20magic%20square%20and%20Latin%20square%20puzzles%2C%20which%20is%20not%20just%20fun%20and%20games%2C%20but%20has%20applications%20for%20quantum%20communication%20and%20quantum%20computing.