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Related papers: Learning with Errors is easy with quantum samples

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We investigate Learning from Label Proportions (LLP), a partial information setting where examples in a training set are grouped into bags, and only aggregate label values in each bag are available. Despite the partial observability, the…

Machine Learning · Computer Science 2025-06-02 Robert Busa-Fekete , Travis Dick , Claudio Gentile , Haim Kaplan , Tomer Koren , Uri Stemmer

We demonstrate how machine learning is able to model experiments in quantum physics. Quantum entanglement is a cornerstone for upcoming quantum technologies such as quantum computation and quantum cryptography. Of particular interest are…

Machine Learning · Computer Science 2022-07-04 Thomas Adler , Manuel Erhard , Mario Krenn , Johannes Brandstetter , Johannes Kofler , Sepp Hochreiter

Machine-learning tasks frequently involve problems of manipulating and classifying large numbers of vectors in high-dimensional spaces. Classical algorithms for solving such problems typically take time polynomial in the number of vectors…

Quantum Physics · Physics 2013-11-06 Seth Lloyd , Masoud Mohseni , Patrick Rebentrost

Machine learning algorithms are powerful tools for data driven tasks such as image classification and feature detection, however their vulnerability to adversarial examples - input samples manipulated to fool the algorithm - remains a…

Recent progress in quantum cryptography and quantum computers has given hope to their imminent practical realization. An essential element at the heart of the application of these quantum systems is a quantum error correction scheme. We…

Quantum Physics · Physics 2007-05-23 I. L. Chuang , R. Laflamme

We prove that any algorithm for learning parities requires either a memory of quadratic size or an exponential number of samples. This proves a recent conjecture of Steinhardt, Valiant and Wager and shows that for some learning problems a…

Machine Learning · Computer Science 2016-02-17 Ran Raz

Interest in quantum machine learning is increasingly growing due to its potential to offer more efficient solutions for problems that are difficult to tackle with classical methods. In this context, the research work presented here focuses…

Quantum Physics · Physics 2025-04-11 A. De Lorenzis , M. P. Casado , M. P. Estarellas , N. Lo Gullo , T. Lux , F. Plastina , A. Riera , J. Settino

Quantum computing is a new computational paradigm that promises applications in several fields, including machine learning. In the last decade, deep learning, and in particular Convolutional neural networks (CNN), have become essential for…

Quantum Physics · Physics 2021-06-14 Iordanis Kerenidis , Jonas Landman , Anupam Prakash

Quantum machine learning, which involves running machine learning algorithms on quantum devices, may be one of the most significant flagship applications for these devices. Unlike its classical counterparts, the role of data in quantum…

Quantum Physics · Physics 2024-08-20 Kaining Zhang , Junyu Liu , Liu Liu , Liang Jiang , Min-Hsiu Hsieh , Dacheng Tao

Free fermions are some of the best studied quantum systems. However, little is known about the complexity of learning free-fermion distributions. In this work we establish the hardness of this task in the particle number non-preserving…

Quantum Physics · Physics 2024-06-04 Alexander Nietner

We propose a quantum algorithm for `extremal learning', which is the process of finding the input to a hidden function that extremizes the function output, without having direct access to the hidden function, given only partial input-output…

Quantum error correction protects quantum information against environmental noise. When using qubits, a measure of quality of a code is the maximum number of errors that it is able to correct. We show that a suitable notion of ``number of…

Quantum Physics · Physics 2007-05-23 Emanuel Knill , Raymond Laflamme , Lorenza Viola

We present a dynamic learning paradigm for "programming" a general quantum computer. A learning algorithm is used to find the control parameters for a coupled qubit system, such that the system at an initial time evolves to a state in which…

Quantum Physics · Physics 2008-08-12 E. C. Behrman , J. E. Steck , P. Kumar , K. A. Walsh

Sample weighting is widely used in deep learning. A large number of weighting methods essentially utilize the learning difficulty of training samples to calculate their weights. In this study, this scheme is called difficulty-based…

Machine Learning · Computer Science 2023-01-13 Xiaoling Zhou , Ou Wu , Weiyao Zhu , Ziyang Liang

Quantum cryptography can provide a very high level of data security. However, a big challenge of this technique is errors in quantum channels. Therefore, error correction methods must be applied in real implementations. An example is error…

Cryptography and Security · Computer Science 2023-12-05 Marcin Niemiec , Tymoteusz Widlarz , Miralem Mehic

We present cyber-security problems of high importance. We show that in order to solve these cyber-security problems, one must cope with certain machine learning challenges. We provide novel data sets representing the problems in order to…

Machine Learning · Computer Science 2019-04-23 Idan Amit , John Matherly , William Hewlett , Zhi Xu , Yinnon Meshi , Yigal Weinberger

Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a…

Quantum Physics · Physics 2022-05-17 Yifeng Xiong , Daryus Chandra , Soon Xin Ng , Lajos Hanzo

The safety of a quantum key distribution system relies on the fact that any eavesdropping attempt on the quantum channel creates errors in the transmission. For a given error rate, the amount of information that may have leaked to the…

Quantum Physics · Physics 2009-10-28 B. Huttner , N. Imoto , N. Gisin , T. Mor

This paper studies quantum supervised learning for classical inference from quantum states. In this model, a learner has access to a set of labeled quantum samples as the training set. The objective is to find a quantum measurement that…

Quantum Physics · Physics 2024-08-26 Mohsen Heidari , Wojciech Szpankowski

Composition is something we take for granted in classical algorithms design, and in particular, we take it as a basic axiom that composing ``efficient'' algorithms should result in an ``efficient'' algorithm -- even using this intuition to…

Quantum Physics · Physics 2025-02-14 Stacey Jeffery