18 papers · ranked by Valyu relevance
Chaofeng Guan, Ruihu Li, Liangdong Lü, Yu Yao
It is well known that quantum codes can be constructed by means of classical symplectic dual-containing codes. This paper considers a family of two-generator quasi-cyclic codes and derives sufficient conditions for these codes to be symplectic dual-containing. Then, a new method for constructing binary quantum codes…
Reza Dastbasteh, Petr Lisoněk
We present new constructions of binary quantum codes from quaternary linear Hermitian self-dual codes. Our main ingredients for these constructions are nearly self-orthogonal cyclic or duadic codes over F4. An infinite family of 0-dimensional binary quantum codes is provided. We give minimum distance lower bounds for…
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…
Ramis Movassagh, Yingkai Ouyang
We introduce a framework for constructing a quantum error correcting code from any classical error correcting code. This includes CSS codes [CS96, Ste96b] and goes beyond the stabilizer formalism [Got96] to allow quantum codes to be constructed from classical codes that are not necessarily linear or self-orthogonal…
Todd A. Brun
Quantum error correction is a set of methods to protect quantum information—that is, quantum states—from unwanted environmental interactions (decoherence) and other forms of noise. The information is stored in a quantum error-correcting code, which is a subspace in a larger Hilbert space. This code is designed so that…
Lijuan Xing, Zhuo Li, Pavan Hosur
Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes. In this paper, Bose-Chaudhuri-Hocquenghem (BCH) codes over finite fields are used to construct quantum codes. First, we try to…
Daryus Chandra, Zunaira Babar, Soon Xin Ng, Lajos Hanzo
—Quantum stabilizer codes (QSCs) suffer from a low quantum coding rate, since they have to recover the quantum bits (qubits) in the face of both bit-flip and phase-flip errors. In this treatise, we conceive a low-complexity concatenated quantum turbo code (QTC) design exhibiting a high quantum coding rate. The high…
Jeonghwan Shin, Jun Heo, Todd A. Brun
Codeword stabilized quantum codes provide a unified approach to constructing quantum errorcorrecting codes, including both additive and non-additive quantum codes. Standard codeword stabilized quantum codes encode quantum information into subspaces. The more general notion of encoding quantum information into a…
Panagiotis Botsinis, Zunaira Babar, Dimitrios Alanis, Daryus Chandra + 3 more
'Hung Nguyen' 'Soon Xin Ng' 'Lajos Hanzo'] When quantum computing becomes a wide-spread commercial reality, Quantum Search Algorithms (QSA) and especially Grover’s QSA will inevitably be one of their main applications, constituting their cornerstone. Most of the literature assumes that the quantum circuits are free…
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…
Patrícia Verdugo Pascoal, Deborah Bambil, Luisa Mayumi Arake de Tacca, Rayane Nunes Lima + 3 more
The accelerated exploration and engineering of nucleotide sequences are directed towards quantum mechanics and their intrinsic entanglements, implementing the qubits states, including the development of algorithms. The production rate of biological sequencing data has increased to approximately 1 Gb/h, but the ability…
Patrícia Verdugo Pascoal, Deborah Bambil, Rayane N. Lima, Marco Antônio de Oliveira + 3 more
Quantum biology is an emergent field that investigates quantum-mechanical phenomena, such as superposition, tunneling, and entanglement, in the context of data manipulation from living systems. The exploration and engineering of nucleotide sequences rely on quantum mechanical principles, particularly the use of qubit…
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…
Nitin Jha, Abhishek Parakh, Mahadevan Subramaniam
Secure quantum networks are a bedrock requirement for developing a future quantum internet. However, quantum channels are susceptible to channel noise that introduce errors in the transmitted data. The traditional approach to providing error correction typically encapsulates the message in an error correction code…
Authors not listed
This work provides a rigorous theoretical investigation of selective error correction strategies for variational quantum algorithms, with focus on understanding the interplay between error suppression, circuit trainability, and computational resource requirements. We develop a mathematical framework that characterizes…
Authors not listed
The Hidden Subgroup Problem (HSP) unifies several landmark quantum algorithms, yet systematic exploration of its variants and modern applications has slowed. This paper revives HSP-based algorithm design by examining new group structures with direct relevance to post-quantum cryptography, lattice problems, and…
Zhi Ping, Shihong Chen, Xiaoluo Huang, Sha Joe Zhu + 10 more
DNA has been reported as a promising medium of data storage for its remarkable durability and space-efficient storage capacity. Here, we propose a robust DNA-based data storage method based on a new codec algorithm, namely ‘Yin-Yang’. Using this strategy, we successfully stored different formats of files in one…
Richard Winpenny, Edmund Little, Jacob Mrozek, Ciaran J Rogers + 4 more
Quantum information processing promises to revolutionise computing; quantum algorithms have been discovered that address common tasks significantly more efficiently than their classical counterparts. For a physical system to be a viable quantum computer it must be possible to initialise its quantum state, to realise a…