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pro vyhledávání: '"Christensen, René Bødker"'
Classical coding theory contains several techniques to obtain new codes from other codes, including puncturing and shortening. For quantum codes, a form of puncturing is known, but its description is based on the code space rather than its generators
Externí odkaz:
http://arxiv.org/abs/2410.17754
Autor:
Valentini, Lorenzo, Jensen, Kristian Skafte, Christensen, René Bødker, Chiani, Marco, Popovski, Petar
We introduce a generalization of one-way superdense coding to two-way communication protocols for transmitting classical bits by using entangled quantum pairs. The proposed protocol caters for provision of entangled pairs, which is assumed to be give
Externí odkaz:
http://arxiv.org/abs/2309.02837
Publikováno v:
IEEE Trans. Quant. Eng., Vol. 4 (2023)
In this work, we show that a pair of entangled qubits can be used to compute a product privately. More precisely, two participants with a private input from a finite field can perform local operations on a shared, Bell-like quantum state, and when th
Externí odkaz:
http://arxiv.org/abs/2305.05993
Publikováno v:
IEEE Transactions on Quantum Engineering, vol. 5, pp. 1-13, 2024
The reliable provision of entangled qubits is an essential precondition in a variety of schemes for distributed quantum computing. This is challenged by multiple nuisances, such as errors during the transmission over quantum links, but also due to de
Externí odkaz:
http://arxiv.org/abs/2305.00949
Contribution: We demonstrate that it is feasible to include field specific problems in introductory mathematics courses to motivate engineering students. This is done in a way that still allows large parts of the course to be common to all students,
Externí odkaz:
http://arxiv.org/abs/2302.05904
Publikováno v:
IEEE Communications Letters; vol. 27, no. 2, February 2023. pp. 477-481
We define a variation on the well-known problem of private message transmission. This new problem called private randomness agreement (PRA) gives two participants access to a public, authenticated channel alongside the main channels, and the 'message
Externí odkaz:
http://arxiv.org/abs/2210.05408
Publikováno v:
IEEE Transactions on Information Forensics and Security (2023). Vol 18, pp. 1978-1988
Consider two data providers that want to contribute data to a certain learning model. Recent works have shown that the value of the data of one of the providers is dependent on the similarity with the data owned by the other provider. It would thus b
Externí odkaz:
http://arxiv.org/abs/2206.06650
We study entanglement-assisted quantum error-correcting codes (EAQECCs) arising from classical one-point algebraic geometry codes from the Hermitian curve with respect to the Hermitian inner product. Their only unknown parameter is $c$, the number of
Externí odkaz:
http://arxiv.org/abs/2105.02166
Autor:
Christensen, René Bødker, Geil, Olav
In this work, we study quantum error-correcting codes obtained by using Steane-enlargement. We apply this technique to certain codes defined from Cartesian products previously considered by Galindo et al. in [4]. We give bounds on the dimension incre
Externí odkaz:
http://arxiv.org/abs/1908.04560
Autor:
Christensen, René Bødker, Geil, Olav
In this paper, we study the construction of quantum codes by applying Steane-enlargement to codes from the Hermitian curve. We cover Steane-enlargement of both usual one-point Hermitian codes and of order bound improved Hermitian codes. In particular
Externí odkaz:
http://arxiv.org/abs/1904.10007