Key ideas in quantum error correction
نویسندگان
چکیده
منابع مشابه
Key ideas in quantum error correction.
In this introductory article on the subject of quantum error correction and fault-tolerant quantum computation, we review three important ingredients that enter known constructions for fault-tolerant quantum computation, namely quantum codes, error discretization and transversal quantum gates. Taken together, they provide a ground on which the theory of quantum error correction can be developed...
متن کاملQuantum Error-Correction Codes on Abelian Groups
We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.
متن کاملRandom Error Models in Quantum Error Correction
We examine the performance of quantum error correcting codes subjected to random Haar distribution transformations of weight t. Rather than requiring correction of all errors, we require some high probability that a random error is corrected. We find that, for any integer i and arbitrarily high probability p < 1, there are codes which perfectly correct errors up to weight t and can correct erro...
متن کاملQuantum Error Correction
⋆ It seems very unlikely that quantum computation can be realized unless there is some means of correcting the errors which will inevitably arise when physical devices are constructed to carry out such a computation. The situation is far different from that in ordinary “classical” computers in which for most purposes the probabilities of errors are so small that they can be ignored. • The absen...
متن کاملExperimental Quantum Error Correction
Quantum error correction is required to compensate for the fragility of the state of a quantum computer. We report the first experimental implementations of quantum error correction and confirm the expected state stabilization. In NMR computing, however, a net improvement in the signal-to-noise would require very high polarization. The experiment implemented the 3-bit code for phase errors in l...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2012
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2011.0494