We consider the problem of computing an encoding circuit for a quantum convolutional code given by a polynomial stabilizer matrix S(D) = (X(D) vertical bar Z(D)). We present an algorithm that is very similar to a poly...
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ISBN:
(纸本)9781424482641
We consider the problem of computing an encoding circuit for a quantum convolutional code given by a polynomial stabilizer matrix S(D) = (X(D) vertical bar Z(D)). We present an algorithm that is very similar to a polynomial-time algorithm for computing the Smith form of a polynomial matrix. This is a step towards the conjecture that any quantum convolutional code has an encoder with polynomially bounded depth.
One of the most challenges to prove the feasibility of quantum computers is to protect the quantum nature of information. quantum convolutional codes are aimed at protecting a stream of quantum information in a long d...
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One of the most challenges to prove the feasibility of quantum computers is to protect the quantum nature of information. quantum convolutional codes are aimed at protecting a stream of quantum information in a long distance communication, which are the correct generalization to the quantum domain of their classical analogs. In this paper, we construct some classes of quantum convolutional codes by employing classical constacyclic codes. These codes are optimal in the sense that they attain the Singleton bound for pure convolutional stabilizer codes.
In this paper, we utilize a family of Hermitian dual-containing constacyclic codes to construct classical and quantum MDS convolutionalcodes. Our classical and quantum convolutional codes are optimal in the sense tha...
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In this paper, we utilize a family of Hermitian dual-containing constacyclic codes to construct classical and quantum MDS convolutionalcodes. Our classical and quantum convolutional codes are optimal in the sense that they attain the classical (quantum) generalized Singleton bound.
We consider performance of a simple quantum convolutional code in a fault-tolerant regime using several syndrome measurement/decoding strategies and three different error models, including the circuit model.
ISBN:
(纸本)9781538665282
We consider performance of a simple quantum convolutional code in a fault-tolerant regime using several syndrome measurement/decoding strategies and three different error models, including the circuit model.
Recently, considerable works of literature have grown up around the theme of quantum error-correcting codes. quantumconvolutional maximum distance separable (MDS for brevity) codes and MDS asymmetric quantumcodes of...
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ISBN:
(纸本)9798400709760
Recently, considerable works of literature have grown up around the theme of quantum error-correcting codes. quantumconvolutional maximum distance separable (MDS for brevity) codes and MDS asymmetric quantumcodes often have better properties in long-distance quantum communications and asymmetric quantum channels. Within this writing, the authors utilized constacyclic codes in constructing three new kinds of MDS quantum convolutional codes and a class of MDS asymmetric quantumcodes. These results are new in comparison with those presented in the existing publications on this subject.
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