{"id":674,"date":"2014-02-15T10:58:52","date_gmt":"2014-02-15T09:58:52","guid":{"rendered":"http:\/\/antonpotocnik.com\/?p=674"},"modified":"2014-03-31T06:43:38","modified_gmt":"2014-03-31T05:43:38","slug":"qballs","status":"publish","type":"post","link":"https:\/\/antonpotocnik.com\/?p=674","title":{"rendered":"Qballs"},"content":{"rendered":"

During my ski trip I got an interesting idea about a simple arcade game with a completely different approach. In this game the player has to find entangled balls.
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Game instructions in English<\/h3>
<\/p>\n
\nEach ball in the game has two possible colors that are randomly changing. Entangled balls have always connected colors. This means that if the color of one ball changes, all that are entangled to it must change their colors instantly. There are two possible entangements: one is symmetric, where all entangled balls have the same color, and the other is antisymmetric, where colors of entangled balls are always different. If, for example, two balls have at first the same and later the opposite colors, they are not entangled! Usually, you have to search for pairs of entangled balls, however, at some levels you have to find triples. In this case antisymmetrically entangled balls have two with the same color and the third with a different color.
\nWhen you think you found the entangled balls select them with a mouse click. If the selected balls are not entangled, the elapsed time will increase for 5 penalty seconds!\n<\/div>\n

<\/div><\/div> <\/p>\n

Navodila v Sloven\u0161\u010dini<\/h3>
<\/p>\n
\nVsaka \u017eoga v igri ima lahko dve razli\u010dni barvi, ki se naklju\u010dno spreminjata. Igralec i\u0161\u010de \u017eogice, ki so med seboj prepletene (entangled), kar pomeni, da \u010de se eni \u017eogici spremeni barva se mora hkrati spremeniti barva tudi vsem, ki so z njo prepletene. \u017dogice so lahko prepletene na dva na\u010dina: v prvem simetri\u010dnem (symmetric) na\u010dinu imajo prepletene \u017eogice vedno enako<\/em> barvo, v drugem, antisimetri\u010dnem (antisymmetric) pa imajo kroglice vedno razli\u010dno<\/em> barvo. \u010ce imata dve \u017eogici nekaj \u010dasa enako in nekaj \u010dasa razli\u010dno barvo, potem ti dve nista prepleteni. Pogosto prepletene \u017eogice nastopajo v parih<\/em>, le pri nekaterih stopnjah pa tudi v <\/em>trisih<\/em>. V tem primeru za antisimetri\u010dne trise velja, da imata dve \u017eogici enako barvo, tretja pa druga\u010dno.
\nPrepletene kroglice se i\u0161\u010de tako, da na njih klikne\u0161 z mi\u0161ko in jih ozna\u010di\u0161. \u010ce ozna\u010dene kroglice niso prepletene dobi\u0161 dodatnih kazenskih 5s pri pri\u0161tevanju \u010dasa.<\/div>\n

<\/div><\/div>\n

Qballs<\/strong>\n
Choose the level and press Start button!<\/p>\n
\n\n\n
\n \n\t\n<\/td>\n<\/tr>\n<\/table>\n<\/form>\n<\/div>\n

<\/p>\n
<\/div>\n

<\/H3><\/p>\n

<\/div>\n
<\/div>\n

Wavefunction of the entangled particels:<\/center><\/p>\n
<\/div>\n

 <\/p>\n

<\/div>\n

<\/div>
\n

Is this game related to quantum mechanics?<\/strong> \"entanglement\"Yes! The two colors represent two quantum states. If a particle has two states with equal energy, a measurement of it’s state will randomly result in one or the other state with equal probability. An example of such a particle is an electron<\/a> with a spin<\/a> S=1\/2 pointing up or down.
\nIn quantum mechanics particles can interact and become entangled<\/a><\/em>. Two entangled particles are connected in such a way that as soon as one particle’s state is measured the state of the other particle is immediately determined. Depending on the symmetry of the entangled particles the second particle will always be in the same or the opposite state with respect to the first particle.<\/div><\/p>\n","protected":false},"excerpt":{"rendered":"

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