File:4 figures for multiple applications of a randomly generated unitary matrix.tif
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English: The sequence of figures depicts the evolution of a small-scale quantum system. It shows the evolution steps after multiple repetitions. Specifically, the first one is for 50 steps (up and left), the second for 100 (up and right), the third one for 175 (down and left), and the last one for 300 steps. This system derives from multiple applications of a randomly generated unitary matrix simulating an associated quantum operator. This operator act on a single qubit, therefore the State 0 and State 1 correspond to this qubit (they are actually vectors describing these quantum states).
The figure encloses an elegant periodic nature, an observation that is a result from the inherited rotation through the associated unitary matrix, offering this impressive patterns. The figure was produced in MatLab under appropriate scripts written by Konstantinos Giannakis and Theodore Andronikos that are used in simulating quantum evolution of 1-qubit vectors.Ελληνικά: Η σειρά εικόνων απεικονίζει την εξέλιξη ενός μικρού σε κλίμακα κβαντικού συστήματος. Δείχνει τα βήματα εξέλιξης έπειτα από πολλαπλές επαναλήψεις. Συγκεκριμένα, η πρώτη εικόνα αφορά 50 βήματα (πάνω αριστερά), η δεύτερη 100 (πάνω δεξιά), η τρίτη 175 (κάτω αριστερά) και η τελευταία 300 βήματα. Το σύστημα αυτό προκύπτει από πολλαπλές εφαρμογές ενός τυχαία παραγόμενου ορθομοναδιαίου πίνακα που προσομοιώνει τον ανάλογο κβαντικό τελεστή. Αυτός ο τελεστής επενεργεί σε ένα qubit, ως εκ τούτου η State 0 και η State 1 αντιστοιχούν σε αυτό το qubit (στην πραγματικότητα είναι διανύσματα που περιγράφουν αυτές τις καταστάσεις).
Η εικόνα περικλείει μια κομψή περιοδική φύση, μία παρατήρηση που είναι αποτέλεσμα από την εγγενή περιστροφή μέσω του αντίστοιχου ορθομοναδιαίου πίνακα, πράγμα που προσφέρει αυτά τα εντυπωσιακά πρότυπα. Η εικόνα παράχθηκε σε περιβάλλον MatLab υπό κατάλληλα scripts γραμμένα από τον Κωνσταντίνο Γιαννάκη και τον Θεόδωρο Ανδρόνικο και τα οποία χρησιμοποιούνται στην προσομοίωση της κβαντικής εξέλιξης διανυσμάτων για 1 qubit.English: The sequence of figures depicts the evolution of a small-scale quantum system. It shows the evolution steps after multiple repetitions. Specifically, the first one is for 50 steps (up and left), the second for 100 (up and right), the third one for 175 (down and left), and the last one for 300 steps. This system derives from multiple applications of a randomly generated unitary matrix simulating an associated quantum operator. This operator act on a single qubit, therefore the State 0 and State 1 correspond to this qubit (they are actually vectors describing these quantum states). The figure encloses an elegant periodic nature, an observation that is a result from the inherited rotation through the associated unitary matrix, offering this impressive patterns. The figure was produced in MatLab under appropriate scripts written by Konstantinos Giannakis and Theodore Andronikos that are used in simulating quantum evolution of 1-qubit vectors. |
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| Source | Own work |
| Author | Kostasgian21 |
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This image was uploaded as part of European Science Photo Competition 2015. |
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| current | 16:04, 27 November 2015 |  | 1,009 × 652 (1.88 MB) | Kostasgian21 (talk | contribs) | User created page with UploadWizard |
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