Overhead analysis of universal concatenated quantum codes
نویسندگان
چکیده
منابع مشابه
Using concatenated quantum codes for universal fault-tolerant quantum gates.
We propose a method for universal fault-tolerant quantum computation using concatenated quantum error correcting codes. The concatenation scheme exploits the transversal properties of two different codes, combining them to provide a means to protect against low-weight arbitrary errors. We give the required properties of the error correcting codes to ensure universal fault tolerance and discuss ...
متن کاملGeneralized concatenated quantum codes
Markus Grassl, Peter Shor, Graeme Smith, John Smolin, and Bei Zeng Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Technikerstraße 21a, 6020 Innsbruck, Austria Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA IBM T.J. Watson Research Center, Yorktown Heights, New York 10598, USA Department of Physics, Massa...
متن کاملExact performance of concatenated quantum codes
When a logical qubit is protected using a quantum error-correcting code, the net effect of coding, decoherence ~a physical channel acting on qubits in the codeword! and recovery can be represented exactly by an effective channel acting directly on the logical qubit. In this paper we describe a procedure for deriving the map between physical and effective channels that results from a given codin...
متن کاملComparing the Overhead of Topological and Concatenated Quantum Error Correction
This work compares the overhead of quantum error correction with concatenated and topological quantum error-correcting codes. To perform a numerical analysis, we use the Quantum Resource Estimator Toolbox (QuRE) that we recently developed. We use QuRE to estimate the number of qubits, quantum gates, and amount of time needed to factor a 1024-bit number on several candidate quantum technologies ...
متن کاملAnalysis and Design of Concatenated Codes
A new general concatenated code structure, containing both parallel and serially concatenated codes as special cases, is presented. The structure provides a unified framework for the analysis of concatenated codes and offers new degrees of freedom for code design. Performance analysis based on bounds on the error probability in the error floor region and suggestions for suitable design criteria...
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 A
سال: 2017
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.95.022313