Results 11 to 20 of about 60,706 (202)
Polynomial-time T-depth Optimization of Clifford+T circuits via Matroid Partitioning [PDF]
, 2013 Most work in quantum circuit optimization has been performed in isolation from the results of quantum fault-tolerance. Here we present a polynomial-time algorithm for optimizing quantum circuits that takes the actual implementation of fault-tolerant ...
Amy, Matthew +2 more
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Topological quantum memory [PDF]
, 2001 We analyze surface codes, the topological quantum error-correcting codes introduced by Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of nontrivial topology, and encoded quantum operations are associated with ...
Alexei Kitaev +18 more
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Quasi-Cyclic Complementary Dual Code
, 2015 LCD codes are linear codes that intersect with their dual trivially. Quasi cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived.
Güneri, Cem +2 more
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PERSYMMETRIC MATRIX AND ITS APPLICATION IN CODING THEORY
BarekengA persymmetric matrix is a square matrix that is symmetric concerning its antidiagonal. This article discusses some characteristics of a persymmetric matrix and its application in coding theory. A persymmetric matrix is used to form a generator matrix of
Ardi Nur Hidayat +2 more
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Euclidean and Hermitian LCD MDS codes
, 2017 Linear codes with complementary duals (abbreviated LCD) are linear codes whose intersection with their dual is trivial. When they are binary, they play an important role in armoring implementations against side-channel attacks and fault injection attacks.
Carlet, Claude +3 more
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Reversible Codes in
IEEE AccessReversible codes play an essential role in coding theory because of their structural symmetry and broad applications in error control, cryptography, and DNA computing.
Bodigiri Sai Gopinadh, Venkatrajam Marka
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Exotic topological order in fractal spin liquids [PDF]
, 2013 We present a large class of three-dimensional spin models that possess topological order with stability against local perturbations, but are beyond description of topological quantum field theory. Conventional topological spin liquids, on a formal level,
Yoshida, Beni
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Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems
, 2015 The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor.
Barnsley, Michael F., Vince, Andrew
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Microtubules gate tau condensation to spatially regulate microtubule functions. [PDF]
, 2019 Tau is an abundant microtubule-associated protein in neurons. Tau aggregation into insoluble fibrils is a hallmark of Alzheimer's disease and other types of dementia1, yet the physiological state of tau molecules within cells remains unclear.
A Ettinger +47 more
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Algebraic geometry codes with complementary duals exceed the asymptotic Gilbert-Varshamov bound
, 2017 It was shown by Massey that linear complementary dual (LCD for short) codes are asymptotically good. In 2004, Sendrier proved that LCD codes meet the asymptotic Gilbert-Varshamov (GV for short) bound.
Jin, Lingfei, Xing, Chaoping
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