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Tight bounds for LDPC and LDGM codes under MAP decoding
Conditional entropy Low Density Parity Check Codes Maximum A Posteriori probability decoding Spin glasses Statistical physics
2015/8/21
A new method for analyzing low density parity check (LDPC) codes and low density generator matrix (LDGM) codes under bit maximum a posteriori probability (MAP) decoding is introduced. The method is ba...
Validation and Verification of MCNP6 Against Intermediate and High-Energy Experimental Data and Results by Other Codes
validation verification MCNP6 MCNPX CEM03.02 LAQGSM03.03
2011/1/7
MCNP6, the latest and most advanced LANL transport code representing a recent merger of MCNP5 and MCNPX, has been Validated and Verified (V&V) against a variety of intermediate and high-energy experim...
Quantum codes give counterexamples to the unique pre-image conjecture of the N-representability problem
Quantum codes give counterexamples the unique pre-image conjecture N-representability problem
2010/11/5
It is well known that the ground state energy of many-particle Hamiltonians involving only 2-body interactions can be obtained using constrained optimizations over density matrices which arise from r...
NP-hardness of decoding quantum error correction codes
NP-hardness quantum error correction codes
2010/10/18
Though the theory of quantum error correction is intimately related to the classical coding theory,in particular, one can construct quantum error correction codes (QECCs) from classical codes with the...
Automated searching for quantum subsystem codes
Automated searching quantum subsystem codes
2010/10/19
Quantum error correction allows for faulty quantum systems to behave in an e ectively error free manner. One important class of techniques for quantum error correction is the class of quantum subsyste...
Framework for classifying logical operators in stabilizer codes
logical operators stabilizer codes
2010/3/10
Entanglement, as studied in quantum information science, and non-local quantum correlations, as studied in condensed matter physics, are fundamentally akin to each other. However, their relationship i...
Optimal quantum stabilizer codes of distance 3 are explicitly constructed for all lengths except for the following four families of lengths $8f_m-\{1,2\}$ and $f_{m+2}-\{2,3\}$ with $f_m=\frac{4^m-1}3...
Two infinite families of nonadditive quantum error-correcting codes
infinite families quantum error-correcting codes
2010/4/8
We construct explicitly two infinite families of genuine nonadditive 1-error correcting quantum codes and prove that their coding subspaces are 50% larger than those of the optimal stabilizer codes of...
We introduce the concept of generalized concatenated quantum codes. This generalized concatenation method provides a systematical way for constructing good quantum codes, both stabilizer codes and non...
Universal Framework for Quantum Error-Correcting Codes
Universal Framework Quantum Error-Correcting Codes
2010/4/7
We present a universal framework for quantum error-correcting codes, i.e., the one that applies for the most general quantum error-correcting codes. This framework is established on the group algebra,...
A family of asymptotically good quantum codes based on code concatenation
A family of asymptotically good quantum codes code concatenation
2010/4/7
We explicitly construct an infinite family of asymptotically good concatenated quantum stabilizer codes where the outer code uses CSS-type quantum Reed-Solomon code and the inner code uses a set of sp...
Quantum BCH Codes Based on Spectral Techniques
Fourier transform BCH code quantum error-correction code
2007/8/15
2006Vol.45No.2pp.283-286DOI:
Quantum BCH Codes Based on Spectral Techniques
GUO Ying and ZENG Gui-Hua
Department of Electronic Engineering, Shanghai
Jiao Tong University...