Continuous Symmetries and Approximate Quantum Error Correction

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Approximate Quantum Error Correction

X iv :q ua nt -p h/ 01 12 10 6v 1 1 8 D ec 2 00 1 Approximate quantum error correction Benjamin Schumacher and Michael D. Westmoreland February 1, 2008 Department of Physics, Kenyon College, Gambier, OH 43022 USA Department of Mathematical Sciences, Denison University, Granville, OH 43023 USA Abstract The errors that arise in a quantum channel can be corrected perfectly if and only if the chann...

متن کامل

Continuous quantum error correction

We describe new implementations of quantum error correction that are continuous in time, and thus described by continuous dynamical maps. We evaluate the performance of such schemes using numerical simulations, and comment on the effectiveness and applicability of continuous error correction for quantum computing.

متن کامل

Entanglement and Approximate Quantum Error Correction

The possibility of performing quantum error correction obviously lies behind and justifies the vast efforts made up to now in order to develop quantum computation techniques, since it allows fault-tolerant computationeven when quantum systems—in fact extremely sensitive to noise—are considered as the basic carriers of information. Besides well-known algebraic conditions for exact quantum error ...

متن کامل

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 کامل

Approximate quantum error correction, random codes, and quantum channel capacity

We work out a theory of approximate quantum error correction that allows us to derive a general lower bound for the entanglement fidelity of a quantum code. The lower bound is given in terms of Kraus operators of the quantum noise. This result is then used to analyze the average error correcting performance of codes that are randomly drawn from unitarily invariant code ensembles. Our results co...

متن کامل

ذخیره 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 X

سال: 2020

ISSN: 2160-3308

DOI: 10.1103/physrevx.10.041018