The book can serve as a text for a graduate complexity course that prepares graduate students interested in theory to do research in complexity and related areas. Theory of decoherencefree faulttolerant universal quantum computation j. After learning about qecc, chapter 5 begins with the important topic of fault tolerant quantum computing ftqc. Whaley1 1department of chemistry, university of california, berkeley 2department of physics, university of california, berkeley 3department of mathematics, university of california, berkeley. In this talk, steven goodwin, a game developer of 20 years standing and 3 books on the subject, dissects each discipline art, music, writing, and code. A novel universal and faulttolerant basis set of gates for quantum computation is described. Information is something that can be encoded in the state of a physical system, and a computation is a task that can be performed with a physically realizable device. Mark whitney eecs department university of california, berkeley technical report no. Therefore, since the physical world is fundamentally quantum mechanical, the foundations of information theory and computer science should be sought in quantum physics. Such a set is necessary to perform quantum computation in a realistic noisy environment. Kitaev, 2008 as a theoretical physics student, on the one hand im interested on an entire class of problems related to quantum information theory, including aspects of classical and quantum cryptography, as well as the computational complexity theory and quantum algorithms. These lecture notes were formed in small chunks during my \ quantum computing course at the university of amsterdam, febmay 2011, and compiled into one text thereafter.
Physical realization of a quantum computer is a big challenge for scientists. Such computation is faulttolerant by its physical nature. Quantum error correction and fault tolerant quantum. Physics 219 course information caltech particle theory.
A major event in the field was kitaevs proposal and realization of a theoretical faulttolerant quantum computation platform based on braiding topological defects of topological phases of matter. In order to use quantum errorcorrecting codes to improve the performance of a quantum computer, it is. Here, a very detailed analysis is presented for syndrome extraction and shor state preparation. Each chapter was covered in a lecture of 2 45 minutes, with an additional 45minute lecture for exercises and homework. A gentle introduction eleanor rieffel and wolfgang polak the mit press cambridge, massachusetts london, england.
1360 294 951 758 1651 237 169 1106 491 505 675 785 353 286 284 904 670 1195 52 555 208 1549 382 620 157 790 768 1117 1596 1260 945 868 374 1064 17 1151 1211 1342 1074 784