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Random access codes are a type of communication task that is widely used in quantum information science. The optimal average success probability that can be achieved through classical strategies is known for any random access code. However,…

Quantum Physics · Physics 2025-02-27 Máté Farkas , Nikolai Miklin , Armin Tavakoli

Measurement incompatibility stipulates the existence of quantum measurements that cannot be carried out simultaneously on single systems. We show that the set of input-output probabilities obtained from d-dimensional classical systems…

Quantum Physics · Physics 2023-06-13 Debashis Saha , Debarshi Das , Arun Kumar Das , Bihalan Bhattacharya , A. S. Majumdar

We derive exceedingly simple practical procedures revealing the quantum nature of states and measurements by the violation of classical upper bounds on the statistics of arbitrary measurements. Data analysis is minimum and definite…

Quantum Physics · Physics 2009-04-28 Ángel Rivas , Alfredo Luis

We prove that quantum random access code (QRAC) performs better than its classical counterpart only when incompatible quantum measurements are used in the decoding task. As a consequence, evaluating the average success probability for QRAC…

Quantum Physics · Physics 2020-06-30 Claudio Carmeli , Teiko Heinosaari , Alessandro Toigo

Random access codes are important for a wide range of applications in quantum information. However, their implementation with quantum theory can be made in two very different ways: (i) by distributing data with strong spatial correlations…

Quantum Physics · Physics 2016-03-25 Armin Tavakoli , Breno Marques , Marcin Pawlowski , Mohamed Bourennane

A random walk is known as a random process which describes a path including a succession of random steps in the mathematical space. It has increasingly been popular in various disciplines such as mathematics and computer science.…

Social and Information Networks · Computer Science 2020-08-11 Feng Xia , Jiaying Liu , Hansong Nie , Yonghao Fu , Liangtian Wan , Xiangjie Kong

Random access codes (RACs) are used by a party to despite limited communication access an arbitrary subset of information held by another party. Quantum resources are known to enable RACs that break classical limitations. Here, we study…

Quantum Physics · Physics 2015-06-11 Armin Tavakoli , Alley Hameedi , Breno Marques , Mohamed Bourennane

A random access code (RAC) is a strategy to encode a message into a shorter one in a way that any bit of the original can still be recovered with nontrivial probability. Encoding with quantum bits rather than classical ones can improve this…

Quantum Physics · Physics 2020-08-21 Giulio Foletto , Luca Calderaro , Giuseppe Vallone , Paolo Villoresi

We propose a protocol to encode classical bits in the measurement statistics of many-body Pauli observables, leveraging quantum correlations for a random access code. Measurement contexts built with these observables yield outcomes with…

Quantum Physics · Physics 2023-01-18 Giancarlo Gatti , Daniel Huerga , Enrique Solano , Mikel Sanz

The existence of incompatible measurements, i.e. measurements which cannot be performed simultaneously on a single copy of a quantum state, constitutes an important distinction between quantum mechanics and classical theories. While…

Quantum Physics · Physics 2022-06-22 Krzysztof Mordasewicz , Jędrzej Kaniewski

A random access code (RAC) is a communication task in which the sender encodes a random message into a shorter one to be decoded by the receiver so that a randomly chosen character of the original message is recovered with some probability.…

Quantum Physics · Physics 2023-10-23 Gabriel Pereira Alves , Nicolas Gigena , Jędrzej Kaniewski

In this work we initiate the question of whether quantum devices can provide us with an almost perfect source of classical randomness, and more generally, suffice for classical cryptographic tasks, such as encryption. Indeed, it is well…

Quantum Physics · Physics 2007-05-23 Yevgeniy Dodis , Renato Renner

We consider two classes of quantum generalisations of Random Access Code (RAC) and study lower bounds for probabilities of success for such tasks. It provides a useful framework for the study of certain information processing tasks with…

Quantum Physics · Physics 2023-06-16 Nitica Sakharwade , Michał Studziński , Michał Eckstein , Paweł Horodecki

A new measure of information leakage for quantum encoding of classical data is defined. An adversary can access a single copy of the state of a quantum system that encodes some classical data and is interested in correctly guessing a…

Quantum Physics · Physics 2024-02-20 Farhad Farokhi

Quantum Random Access Codes (QRACs) are key tools for a variety of protocols in quantum information theory. These are commonly studied in prepare-and-measure scenarios in which a sender prepares states and a receiver measures them. Here, we…

Quantum Physics · Physics 2019-08-21 Karthik Mohan , Armin Tavakoli , Nicolas Brunner

A quantum decaying system can reveal its nonclassical behavior by being noninvasively measured. Correlations of weak measurements in the noninvasive limit violate the classical bound for a universal class of systems. The violation is…

Quantum Physics · Physics 2022-04-20 Stanisław Sołtan , Adam Bednorz

A random access code (RAC), corresponding to a communication primitive with various applications in quantum information theory, is an instance of a preparation-and-measurement scenario. In this work, we consider (n,d)-RACs constituting an…

Quantum Physics · Physics 2024-12-23 Andris Ambainis , Dmitry Kravchenko , Sk Sazim , Joonwoo Bae , Ashutosh Rai

Quantum data access and quantum processing can make certain classically intractable learning tasks feasible. However, quantum capabilities will only be available to a select few in the near future. Thus, reliable schemes that allow…

Quantum Physics · Physics 2024-02-07 Matthias C. Caro , Marcel Hinsche , Marios Ioannou , Alexander Nietner , Ryan Sweke

Communication scenarios between two parties can be implemented by first encoding messages into some states of a physical system which acts as the physical medium of the communication and then decoding the messages by measuring the state of…

Quantum Physics · Physics 2024-04-23 Teiko Heinosaari , Oskari Kerppo , Leevi Leppäjärvi , Martin Plávala

Deep insight can be gained into the nature of nonclassical correlations by studying the quantum operations that create them. Motivated by this we propose a measure of nonclassicality of a quantum operation utilizing the relative entropy to…

Quantum Physics · Physics 2015-06-05 Sebastian Meznaric , Stephen R. Clark , Animesh Datta
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