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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...
A Comparison of Cosmological Codes: Properties of Thermal Gas and Shock Waves in Large Scale Structures
galaxy: clusters, general – methods: numerical – intergalactic medium – largescale structure of Universe
2011/9/13
Cosmological hydrodynamical simulations are a valuable tool for understanding the growth of large scale structure and the observables connected with this. Yet, comparably little attention has been giv...
Verification of high-energy transport codes on the basis of activation data
activation data high-energy transport codes intranuclear cascade model
2011/7/20
Nuclide production cross sections measured at ITEP for the targets of nat-Cr, 56-Fe, nat-Ni, 93-Nb, 181-Ta, nat-W, nat-Pb, 209-Bi irradiated by protons with energies from 40 to 2600 MeV were used to e...
Validation and Verification of MCNP6 Against Intermediate and High-Energy Experimental Data and Results by Other Codes
Validation Verification MCNP6 Intermediate High-Energy Experimental Data Results Other Codes
2010/12/29
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...
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...
Dualities and Identities for Maximal-Entanglement Quantum Codes
Dualities Identities Maximal-Entanglement Quantum Codes
2010/11/8
The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is the code resulting from exchanging the original code's information qubits for its ebits and vice versa. As an introduction...
Topological approach toward quantum codes with realistic physical constraints
Topological approach toward quantum codes realistic physical constraints
2010/11/5
The following open problems, which concern a fundamental limit on coding properties of quantum codes with realistic physical constraints, are analyzed and partially answered here: (a) the upper bound ...
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...
One of the unexpected breakdowns in the existing theory of quantum serial turbo coding is that a quantum convolutional encoder cannot simultaneously be recursive and non-catastrophic. These properties...
Minimal-memory realization of pearl-necklace encoders of general quantum convolutional codes
Minimal-memory realization pearl-necklace encoders general quantum convolutional codes
2010/10/19
Quantum convolutional codes, like their classical counterparts, promise to o er higher error correction performance than block codes of equivalent encoding complexity, and are expected to nd importan...
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...