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Quantum Computation: a Tutorial - monoidal.net

Quantum computation : a Tutorial1 Quantum computation : a TutorialBeno t ValironUniversity of Pennsylvania,Department of Computer and Information Science,3330 Walnut Street, Philadelphia, Pennsylvania, 19104-6389, 15 April 2012 AbstractThis Tutorial is the first part of a series of two articles onquantum computation . In this first paper, we present the field of quan-tum computation from a broad perspective. We review the mathematicalbackground and informally discuss physical implementations of quantumcomputers. Finally, we present the main constructions specific to quan-tum computation yielding computation , Quantum Algorithms, QuantumComputers. 1 IntroductionWhether the notion of data is thought of concretely or abstractly, it isusually supposed to behave classically: a piece of data is supposed to be clonable,erasable, readable as many times as needed, and is not supposed to change whenleft computation is a paradigm where data can be encoded witha medium governed by the law of Quantum physics.

Quantum Computation: a Tutorial 3 well with addition, it supports multiplication: (ˆ 1e˚ 1i)(ˆ 2e˚ 2i) = (ˆ 1ˆ 2)e(˚ 1+˚ 2)i and conjugation: ˆe˚i = ˆe ˚i.The angle ˚is called the phase and ˆthe

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