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In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery operation in an error correction scheme can be considered as a semidefinite program. As a possible future improvement it is noted that still better error…

Quantum Physics · Physics 2007-05-23 M. Reimpell , R. F. Werner , K. Audenaert

As users migrate information to cloud storage, many distributed cloud-based services use multiple loosely consistent replicas of user information to avoid the high overhead of more tightly coupled synchronization. Periodically, the…

Data Structures and Algorithms · Computer Science 2015-04-23 Michael Mitzenmacher , Rasmus Pagh

Unsupervised learning has gained prominence in the big data era, offering a means to extract valuable insights from unlabeled datasets. Deep clustering has emerged as an important unsupervised category, aiming to exploit the non-linear…

Machine Learning · Computer Science 2024-02-02 Georgios Vardakas , Ioannis Papakostas , Aristidis Likas

In environments with sparse rewards, finding a good inductive bias for exploration is crucial to the agent's success. However, there are two competing goals: novelty search and systematic exploration. While existing approaches such as…

Machine Learning · Computer Science 2023-08-31 Stefan Sylvius Wagner , Peter Arndt , Jan Robine , Stefan Harmeling

While current network intrusion detection systems achieve satisfactory accuracy, they often lack explainability. Subgroup Discovery (SD) addresses this by building interpretable rules that characterize feature interactions associated with…

Quantum Physics · Physics 2026-05-01 Samuel Spell , Chi-Ren Shyu

This paper focuses on the design of sequential quadratic optimization (commonly known as SQP) methods for solving large-scale nonlinear optimization problems. The most computationally demanding aspect of such an approach is the computation…

Optimization and Control · Mathematics 2020-02-27 James V. Burke , Frank E. Curtis , Hao Wang , Jiashan Wang

We propose a parallel version of the cross interpolation algorithm and apply it to calculate high-dimensional integrals motivated by Ising model in quantum physics. In contrast to mainstream approaches, such as Monte Carlo and quasi Monte…

Numerical Analysis · Mathematics 2019-08-27 Sergey Dolgov , Dmitry Savostyanov

It has recently been shown that radio interferometric gain calibration can be expressed succinctly in the language of complex optimisation. In addition to providing an elegant framework for further development, it exposes properties of the…

Instrumentation and Methods for Astrophysics · Physics 2018-05-23 J. S. Kenyon , O. M. Smirnov , T. L. Grobler , S. J. Perkins

The security of code based constructions is usually assessed by Information Set Decoding (ISD) algorithms. In the quantum setting, amplitude amplification yields an asymptotic square root gain over the classical analogue. However, it is…

Quantum Physics · Physics 2021-12-14 Andre Esser , Sergi Ramos-Calderer , Emanuele Bellini , José I. Latorre , Marc Manzano

Upcoming many core processors are expected to employ a distributed memory architecture similar to currently available supercomputers, but parallel pattern mining algorithms amenable to the architecture are not comprehensively studied. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-28 Kazuki Yoshizoe , Aika Terada , Koji Tsuda

Coherent Ising machines (CIMs) have emerged as specialized quantum hardware for large-scale combinatorial optimization. However, for large instances that remain challenging for classical methods, some platforms support only finite-precision…

Quantum Physics · Physics 2026-03-25 Keming He , Yuehan Zhang , Hongshun Yao , Jin-Guo Liu , Xin Wang

Reconciliation is a crucial procedure in post-processing of Quantum Key Distribution (QKD), which is used for correcting the error bits in sifted key strings. Although most studies about reconciliation of QKD focus on how to improve the…

Quantum Physics · Physics 2019-03-26 Haokun Mao , Qiong Li , Qi Han , Hong Guo

Collaborative learning has gained great popularity due to its benefit of data privacy protection: participants can jointly train a Deep Learning model without sharing their training sets. However, recent works discovered that an adversary…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Wei Gao , Shangwei Guo , Tianwei Zhang , Han Qiu , Yonggang Wen , Yang Liu

In this paper, we propose a quantum algorithm that supports a real-valued higher-order unconstrained binary optimization (HUBO) problem. This algorithm is based on the Grover adaptive search that originally supported HUBO with integer…

Signal Processing · Electrical Eng. & Systems 2023-02-17 Masaya Norimoto , Ryuhei Mori , Naoki Ishikawa

The high efficiency in computation and storage makes hashing (including binary hashing and quantization) a common strategy in large-scale retrieval systems. To alleviate the reliance on expensive annotations, unsupervised deep hashing…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Jinpeng Wang , Ziyun Zeng , Bin Chen , Tao Dai , Shu-Tao Xia

For almost two decades, mixed integer programming (MIP) solvers have used graph-based conflict analysis to learn from local infeasibilities during branch-and-bound search. In this paper, we improve MIP conflict analysis by instead using…

Optimization and Control · Mathematics 2025-10-21 Gioni Mexi , Felipe Serrano , Timo Berthold , Ambros Gleixner , Jakob Nordström

Variational quantum algorithms are believed to be promising for solving computationally hard problems and are often comprised of repeated layers of quantum gates. An example thereof is the quantum approximate optimization algorithm (QAOA),…

Sparse Subspace Clustering (SSC) is one of the most popular methods for clustering data points into their underlying subspaces. However, SSC may suffer from heavy computational burden. Orthogonal Matching Pursuit applied on SSC accelerates…

Machine Learning · Computer Science 2020-01-08 Wenqi Zhu , Yuesheng Zhu , Li Zhong , Shuai Yang

Information reconciliation (IR) corrects the errors in sifted keys and ensures the correctness of quantum key distribution (QKD) systems. Polar codes-based IR schemes can achieve high reconciliation efficiency, however, the incidental high…

Quantum Physics · Physics 2020-03-18 Bang-Ying Tang , Bo Liu , Wan-Rong Yu , Chun-Qing Wu

Quantum key distribution (QKD) is a cryptographic system that generates an information-theoretically secure key shared by two legitimate parties. QKD consists of two parts: quantum and classical. The latter is referred to as classical…

Information Theory · Computer Science 2018-05-15 Sunghoon Lee , Jooyoun Park , Jun Heo