Quantum Minesweeper Game

Scorpion Solitaire Rules

The different piles

Quantum Cat-sweeper This is a super simple game loosely based on Minesweeper Flags and runs on the IBM Quantum computer or simulator. Rules of the game: Don't explode the cat (bombs).

There are three different types of piles in Scorpion Solitaire. They are:

• The Tail: The deck of three cards in the upper left corner
• The Body: The seven piles on the main table.
• The Head / Foundations: The four piles in the upper right corner.

The setup

The Tableau piles in the body are each dealt 7 cards, with the first three cards of the first four piles being dealt face down. The remaining three cards are placed face down into the tail.

The objective

To win Scorpion solitaire, you must build 4 piles on the table, each with a descending sequence of cards in the same suit, running from the king to the ace.

Allowed moves

• Move one or more face up cards from one Tableau pile to another. You can move any sequence of cards from the top of a pile to any other pile where the top card is of the same suit as the moved card and is a rank above. For example you can move the four of hearts onto the five of hearts, or the queen of diamonds onto the king of diamonds. You could also for instance move the pile consisting of the jack of spades, ten of spades, three of clubs, and king of hearts onto the queen of spades. You could also move any pile that leads with a queen of diamonds on top of the king of diamonds.
  Only kings can be placed onto empty piles.
• Deal from the tail. You can deal the last remaining cards to the first three piles in the body. Traditionally in Scorpion you can only deal the tail when you've exhausted your initial moves.
  When the Clear completed runs option is selected you can deal from the tail at any point at your leisure, making the game slightly easier.
• Flip over an exposed face down card. If at any point a face down card is exposed it must be flipped face up. The game does this automatically for you.
• You can Undo as many times as you like. The game offers unlimited undos. Each Undo counts as a new move though, so if you're trying to win the game in as few moves as possible you should be careful about how many undos you use.
• Discard a completed run from the table. Traditionally a completed run remains on the table until the game has ended, making the game much harder as the run now has to be played around. When the Clear completed runs option is selected runs are removed from the table as they are completed and moved to the foundations. This clears up the table, making room for you to better form the remaining runs and rendering the game slightly easier. The game will still pose a significant challenge, so don't take this as an easy way out.

Time and Moves

The game counts the moves you make, and measures the time it takes to finish the game, so you can compete against your previous best games if you want.

About Scorpion Solitaire

Scorpion Solitaire is the 9th solitaire game we create here at cardgames.io. We've pretty much done all the good Solitaire games we know of by now, so any suggestions for new ones are welcome.

If you have any questions, comments or requests for other solitaire games you can send them to admin@cardgames.io or tweet at me @cardgames_io. If you have any errors or problems when playing the game please include which browser you're using when you email me, it makes figuring out the problem a lot easier :)

Many thanks go to Nicu Buculei, who created the excellent playing card images that I use for the game.

If you like this game check out my various other games, and please share them on Facebook/Twitter/Google+

This is version 2539 of Scorpion Solitaire.

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AbstractQuantum computing is a young but intriguing field of science. It combines quantum mechanics with information theory and computer science to potentially solve certain formerly computationally expensive tasks more efficiently. Classical computers are based on bits that can take on the value zero or one. The values are distinguished by voltage differences in transistors. Quantum computers are instead based on quantum bits, or qubits, that are represented physically by something that exhibits quantum properties, like for example electrons.

Qubits also take on the value zero or one, which could correspond to spin up and spin down of an electron. However, qubits can also be in a superposition state between the quantum states corresponding to the value zero and one. This property is what causes quantum computers to be able to outperform classical computers at certain tasks. One of these tasks is searching through an unstructured database. Whereas a classical computer in the worst case has to search through the whole database in order to find the sought element, i.e. The computation time is proportional to the size of the problem, it can be shown that a quantum computer can find the solution in a time proportional to the square root of the size of the problem. This report aims to illustrate the advantages of quantum computing by explicitly solving the classical Windows game Minesweeper, which can be reduced to a problem resembling the unstructured database search problem.

It is shown that solving Minesweeper with a quantum algorithm gives a quadratic speedup compared to solving it with a classical algorithm. The report also covers introductory material to quantum mechanics, quantum gates, the particular quantum algorithm Grover's algorithm and complexity classes, which is necessary to grasp in order to understand how Minesweeper can be solved on a quantum computer.