20 papers · ranked by Valyu relevance
Laura Pecorari, Sven Jandura, Gavin K. Brennen, Guido Pupillo
registers Authors: ['Laura Pecorari' 'Sven Jandura' 'Gavin K. Brennen' 'Guido Pupillo'] High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced…
Nikolaos Koukoulekidis, F. Šimkovic, Martin Leib, Francisco Revson F. Pereira
'Francisco Revson F. Pereira'] Quantum error correction is rapidly seeing first experimental implementations, but there is a significant gap between asymptotically optimal error-correcting codes and codes that are experimentally feasible. Quantum LDPC codes range from the surface code, which has a vanishing encoding…
Joschka Roffe, David R. White, Simon Burton, Earl T. Campbell
We show that belief propagation combined with ordered statistics post-processing is a general decoder for quantum low density parity check codes constructed from the hypergraph product. To this end, we run numerical simulations of the decoder applied to three families of hypergraph product code: topological codes…
Yuan Li, Ying Guo, Osamu Hirota
Motivated by a family of binary cocyclic block matrices over GF(2), we proposed a construction method to gain the stabilizer of long-length quantum error-correction codes (QECCs). Stabilizer quantum codes (SQCs) can be obtained by the different rows of the yielded circulant permutation matrices; hence, the quantum…
Ye, Min, Wecker, Dave + 2 more
We propose a decoder for quantum low density parity check (LDPC) codes based on a beam search heuristic guided by belief propagation (BP). Our beam search decoder applies to all quantum LDPC codes and achieves different speed-accuracy tradeoffs by tuning its parameters such as the beam width. We perform numerical…
Lawrence Z. Cohen, Isaac H. Kim, Stephen D. Bartlett, Benjamin J. Brown
'Benjamin J. Brown'] Vast numbers of qubits will be needed for large-scale quantum computing because of the overheads associated with error correction. We present a scheme for low-overhead fault-tolerant quantum computation based on quantum low-density parity-check (LDPC) codes, where long-range interactions enable…
Ya'nan Feng, Chuchen Tang, Chen‐Ming Bai
With the development of quantum error correction techniques, quantum low density parity check (QLDPC) codes become a promising area in quantum error correction codes. In this paper, the requirements of QLDPC codes based on points except the origin and lines not passing through the origin of Euclidean geometry are…
Mert Gökduman, Hanwen Yao, Henry D. Pfister
—Quantum low-density parity-check (LDPC) codes are a promising family of quantum error-correcting codes for fault tolerant quantum computing with low overhead. Decoding quantum LDPC codes on quantum erasure channels has received more attention recently due to advances in erasure conversion for various types of qubits…
Yixuan Xie, Jun Li, Robert Malaney, Jinhong Yuan
—In this work we probe the impact of channel estimation on the performance of quantum LDPC codes. Our channel estimation is based on an optimal estimate of the relevant decoherence parameter via its quantum Fisher information. Using state-of-the art quantum LDPC codes designed for the quantum depolarization channel…
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…
Yixuan Xie, Jun Li, Robert Malaney, Jinhong Yuan
—Quantum cryptography via key distribution mechanisms that utilize quantum entanglement between sender-receiver pairs will form the basis of future large-scale quantum networks. A key engineering challenge in such networks will be the ability to correct for decoherence effects in the distributed entanglement resources.…
Kun Zhang, Xue-Qin Jiang, Yan Feng, Runhe Qiu + 1 more
Due to the rapid development of quantum computing technology, encryption systems based on computational complexity are facing serious threats. Based on the fundamental theorem of quantum mechanics, continuous-variable quantum key distribution (CVQKD) has the property of physical absolute security and can effectively…
Fei Hua, Kun Chen, Wei Deng, Jing Cheng + 3 more
Continuous-variable quantum key distribution faces significant challenges, including quantum channel instability, particularly fluctuations in the signal-to-noise ratio (SNR) and extremely low SNR scenarios. Furthermore, non-ideal polar codes, characterized by insufficient polarization in finite-length regimes, can…
Yang Li, Xiaofang Zhang, Yong Li, Bingjie Xu + 3 more
'Wei Huang'] The decoding throughput during post-processing is one of the major bottlenecks that occur in a continuous-variable quantum key distribution (CV-QKD) system. In this paper, we propose a layered decoder to decode quasi-cyclic multi-edge type LDPC (QC-MET-LDPC) codes using a graphics processing unit (GPU) in…
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…
Shubham Chandak, Kedar Tatwawadi, Billy Lau, Jay Mardia + 6 more
With the amount of data being stored increasing rapidly, there is significant interest in exploring alternative storage technologies. In this context, DNA-based storage systems can offer significantly higher storage densities (petabytes/gram) and durability (thousands of years) than current technologies. Specifically…
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…
Edward Otieno, Katarzyna Matczyszyn, Nelson Mokaya
Quantum computing promises exponential advances in information processing, necessitating the development of appropriate materials for implementing quantum qubits and gates. Liquid crystals, known for their electro-optical characteristics and use in displays, have recently received attention as prospective candidates…
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…
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…