15 papers · ranked by Valyu relevance
Xianmang He, Jingli Wang, Chunfang Huang, Yindong Chen + 1 more
'Alemayehu Getahun Kumela'] In the past decade, the construction of quantum maximum distance separable codes (MDS for short) has been extensively studied. For the length n = q 2 − 1 m, where m is an integer that divides either q + 1 or q − 1, a complete set of results has been available. In this paper, we dedicate to a…
Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz, Gary McGuire
'Gary McGuire'] We construct new stabilizer quantum error-correcting codes from generalized monomial-Cartesian codes. Our construction uses an explicitly defined twist vector, and we present formulas for the minimum distance and dimension. Generalized monomial-Cartesian codes arise from polynomials in m variables. When…
Lanqiang Li, Fuyin Tian, Ziwen Cao, Li Liu
The advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing. This paper introduces two new classes of QEC MDS codes, which are devised…
Jianzhang Chen, Wanchuan Fang, Shuo Zhou, Jie Qiu + 6 more
'Yixin Xu' 'Bozhe Zeng' 'Youqin Chen' 'Jaewan Kim' 'Kabgyun Jeong'] Due to the asymmetry of quantum errors, phase-shift errors are more likely to occur than qubit-flip errors. Consequently, there is a need to develop asymmetric quantum error-correcting (QEC) codes that can safeguard quantum information transmitted…
Francisco Revson F. Pereira, Stefano Mancini, Giuliano Benenti, Brian R. La Cour
'Brian R. La Cour'] Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer formalism. In this paper, we provide a general method…
Aixian Zhang, Zhe Ji
Maximum distance separable (MDS) self-dual codes have useful properties due to their optimality with respect to the Singleton bound and its self-duality. MDS self-dual codes are completely determined by the length $n,$ so the problem of constructing q-ary MDS self-dual codes with various lengths is a very interesting…
Yuan Li, Jin-Yang Li, Giuliano Benenti
An effective construction method for long-length quantum code has important applications in the field based on large-scale data. With the rapid development of quantum computing, how to construct this class of quantum coding has become one of the key research fields in quantum information theory. Motivated by the block…
Hayato Goto
Standard approaches to quantum error correction for fault-tolerant quantum computing are based on encoding a single logical qubit into many physical ones, resulting in asymptotically zero encoding rates and therefore huge resource overheads. To overcome this issue, high-rate quantum codes, such as quantum low-density…
A. Chiesa, E. Macaluso, F. Petiziol, S. Wimberger + 2 more
Correction Authors: ['A. Chiesa' 'E. Macaluso' 'F. Petiziol' 'S. Wimberger' 'P. Santini' 'S. Carretta'] We show that molecular nanomagnets have a potential advantage in the crucial rush toward quantum computers. Indeed, the sizable number of accessible low-energy states of these systems can be exploited to define…
Muhammad Annas Khan, Salman Ghafoor, Syed Mohammad Hassan Zaidi, Haibat Khan + 1 more
'Haibat Khan' 'Arsalan Ahmad'] In the aftermath of unparalleled disruptive technologies, the quantum realm has become a fundamental field of research due to unrivaled computational power and super-secure communication. In addition to conventional networks, a new word in the quantum domain is quantum network. The…
Friederike Butt, David F. Locher, Katharina Brechtelsbauer, Hans Peter Büchler + 1 more
Reliable execution of large-scale quantum algorithms requires robust underlying operations, which is addressed by quantum error correction (QEC). Most modern QEC protocols rely on measurements and feed-forward operations, which are experimentally demanding and often prone to high error rates. Additionally, no…
Haoran Zhang, Zhen Sun, Ruoyang Qi, Liuguo Yin + 2 more
'Jianhua Lu'] Rapid progress has been made in quantum secure direct communication in recent years. For practical application, it is important to improve the performances, such as the secure information rate and the communication distance. In this paper, we report an elaborate physical system design and protocol with…
Zhengzhong Yi, Zhipeng Liang, Yulin Wu, Xuan Wang + 1 more
Inspired by classical polar codes, whose coding rate can asymptotically achieve the Shannon capacity, researchers are trying to find their analogs in the quantum information field, which are called quantum polar codes. However, no one has designed a quantum polar coding scheme that applies to quantum computing yet.…
Josu Etxezarreta Martinez, Pedro M. Crespo, Javier Garcia-Frías
Quantum turbo codes (QTC) have shown excellent error correction capabilities in the setting of quantum communication, achieving a performance less than 1 dB away from their corresponding hashing bounds. Existing QTCs have been constructed using uniform random interleavers. However, interleaver design plays an important…
Francisco Revson Fernandes Pereira, Stefano Mancini, Durdu Guney, David Petrosyan
'David Petrosyan'] A general framework describing the statistical discrimination of an ensemble of quantum channels is given by the name quantum reading. Several tools can be applied in quantum reading to reduce the error probability in distinguishing the ensemble of channels. Classical and quantum codes can be…