منابع مشابه
Quantum 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 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 کاملQuantum error correction
Suppose for simplicity that our system consists of a single qubit. We start with errors we are familiar with from the classical setting – bit-flips. Such an error converts the original state, say α|0〉+β |1〉, into α|1〉+β |0〉. We can correct these kind of errors using classical error correcting codes. For example, we may use a repetition code, i.e., encoding |0〉 as |000〉 and |1〉 as |111〉. Thus, w...
متن کاملTopological Quantum Error Correction
Interest in developing quantum computers stems from their ability to solve in polynomial time several important problems that are only classically solvable in exponential time. One significant hurdle facing the actual implementation of a quantum computer is the need for error correction code to make reliable quantum memory in the presence of errors, such as measurement errors and decoherence. H...
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: Physical Review Letters
سال: 1998
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.80.4088