Michael A. Nielsen's Quantum Computation and Quantum Information: 10th PDF

By Michael A. Nielsen

ISBN-10: 1107002176

ISBN-13: 9781107002173

Probably the most mentioned books in physics of all time, Quantum Computation and Quantum info continues to be the easiest textbook during this fascinating box of technological know-how. This tenth anniversary version contains an advent from the authors atmosphere the paintings in context. This finished textbook describes such striking results as quickly quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computing device technological know-how are brought prior to relocating directly to describe what a quantum computing device is, the way it can be utilized to resolve difficulties speedier than 'classical' pcs and its real-world implementation. It concludes with an in-depth remedy of quantum details. Containing a wealth of figures and routines, this recognized textbook is perfect for classes at the topic, and may curiosity starting graduate scholars and researchers in physics, desktop technological know-how, arithmetic, and electric engineering.

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Additional info for Quantum Computation and Quantum Information: 10th Anniversary Edition

Example text

At the same time computer science was exploding in the 1940s, another revolution was taking place in our understanding of communication. In 1948 Claude Shannon published a remarkable pair of papers laying the foundations for the modern theory of information and communication. Perhaps the key step taken by Shannon was to mathematically define the concept of information. In many mathematical sciences there is considerable flexibility in the choice of fundamental definitions. Try thinking naively for a few minutes about the following question: how would you go about mathematically defining the notion of an information source?

In the years since Turing, many different teams of researchers have noticed that certain types of analog computers can efficiently solve problems believed to have no efficient solution on a Turing machine. At first glance these analog computers appear to violate the strong form of the Church–Turing thesis. Unfortunately for analog computation, it turns out that when realistic assumptions about the presence of noise in analog computers are made, their power disappears in all known instances; they cannot efficiently solve problems which are not efficiently solvable on a Turing machine.

Quantum information theory has followed with similar developments. In 1995, Ben Schumacher provided an analogue to Shannon’s noiseless coding theorem, and in the process defined the ‘quantum bit’ or ‘qubit’ as a tangible physical resource. However, no analogue to Shannon’s noisy channel coding theorem is yet known for quantum information. Nevertheless, in analogy to their classical counterparts, a theory of quantum error-correction has been developed which, as already mentioned, allows quantum computers to compute effectively in the presence of noise, and also allows communication over noisy quantum channels to take place reliably.

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Quantum Computation and Quantum Information: 10th Anniversary Edition by Michael A. Nielsen

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