Multiaccess quantum communication and product higher rank numerical range

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Multiaccess quantum communication and product higher rank numerical range

In the present paper we initiate the study of the product higher rank numerical range. The latter, being a variant of the higher rank numerical range [M.–D. Choi et al., Rep. Math. Phys. 58, 77 (2006); Lin. Alg. Appl. 418, 828 (2006)], is a natural tool for studying a construction of quantum error correction codes for multiple access channels. We review properties of this set and relate it to o...

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The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generaliz...

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generalized higher-rank numerical range

in this note, a generalization of higher rank numerical range isintroduced and some of its properties are investigated

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generalized joint higher-rank numerical range

the rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generaliz...

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ژورنال

عنوان ژورنال: Quantum Information and Computation

سال: 2013

ISSN: 1533-7146,1533-7146

DOI: 10.26421/qic13.7-8-1