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17 papers · 1 filter
An Optimal Tunable Josephson Element for Quantum Computing
F. Chiarello, M. G. Castellano, G. Torrioli +6
We introduce a three-junction SQUID that can be effectively used as an optimal tunable element in Josephson quantum computing applications. This device can replace the simple dc SQ…
Statistical Phases and Momentum Spacings for One-Dimensional Anyons
Martin Greiter
Anyons and fractional statistics are by now well established in two-dimensional systems. In one dimension, fractional statistics has been established so far only through Haldane's…
Quantum Convolutional BCH Codes
Salah A. Aly, Markus Grassl, Andreas Klappenecker +2
Quantum convolutional codes can be used to protect a sequence of qubits of arbitrary length against decoherence. We introduce two new families of quantum convolutional codes. Our c…
Constructions of Quantum Convolutional Codes
Markus Grassl, Martin Roetteler
We address the problems of constructing quantum convolutional codes (QCCs) and of encoding them. The first construction is a CSS-type construction which allows us to find QCCs of r…
Quantum Block and Convolutional Codes from Self-orthogonal Product Codes
Markus Grassl, Martin Roetteler
We present a construction of self-orthogonal codes using product codes. From the resulting codes, one can construct both block quantum error-correcting codes and quantum convolutio…
Graphs, Quadratic Forms, and Quantum Codes
Markus Grassl, Andreas Klappenecker, Martin Roetteler
We show that any stabilizer code over a finite field is equivalent to a graphical quantum code. Furthermore we prove that a graphical quantum code over a finite field is a stabiliz…