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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

In a world where Quantum Networks are rapidly becoming a reality, the development of the Quantum Internet is gaining increasing interest. Nevertheless, modern quantum networks are still in the early stages of development and have limited…

We consider a communication method, where the sender encodes n classical bits into 1 qubit and sends it to the receiver who performs a certain measurement depending on which of the initial bits must be recovered. This procedure is called…

Quantum Physics · Physics 2009-06-15 Andris Ambainis , Debbie Leung , Laura Mancinska , Maris Ozols

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

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

As we approach the era of quantum advantage, when quantum computers (QCs) can outperform any classical computer on particular tasks, there remains the difficult challenge of how to validate their performance. While algorithmic success can…

A (Quantum) Random Access Code ((Q)RAC) is a scheme that encodes $n$ bits into $m$ (qu)bits such that any of the $n$ bits can be recovered with a worst case probability $p>\frac{1}{2}$. Such a code is denoted by the triple $(n,m,p)$. It is…

Quantum Physics · Physics 2017-05-17 Ola Liabøtrø

Collaborative communication tasks such as random access codes (RACs) employing quantum resources have manifested great potential in enhancing information processing capabilities beyond the classical limitations. The two quantum variants of…

Quantum Physics · Physics 2017-05-31 Alley Hameedi , Debashis Saha , Piotr Mironowicz , Marcin Pawlowski , Mohamed Bourennane

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

The sequential quantum random access code (QRAC) allows two or more decoders to obtain a desired message with higher success probability than the best classical bounds by appropriately modulating the measurement sharpness. Here, we propose…

Quantum Physics · Physics 2021-05-03 Ya Xiao , Xin-Hong Han , Xuan Fan , Hui-Chao Qu , Yong-Jian Gu

A random access code (RAC) encodes an $L$-bit string into a $k$-bit message, where $L>k$, such that any requested bit can be decoded with high probability; a quantum RAC (QRAC) replaces the message with $k$ qubits. This paper provides a…

Quantum Physics · Physics 2026-05-19 Ruho Kondo , Yuki Sato , Hiroshi Yano , Yota Maeda , Kosuke Ito , Naoki Yamamoto

Quantum random access codes (QRACs) provide a basic tool for demonstrating the advantages of quantum resources and protocols, which have a wide range of applications in quantum information processing tasks. However, the investigation and…

Quantum Physics · Physics 2022-10-18 Rui-Heng Miao , Zhao-Di Liu , Yong-Nan Sun , Chen-Xi Ning , Chuan-Feng Li , Guang-Can Guo

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

Random access code (RAC) is an important communication protocol to obtain information about a randomly specified substring of an n-bit string, while only having limited information about the n-bit string. Quantum RACs usually utilise either…

Quantum Physics · Physics 2023-07-21 Som Kanjilal , C Jebarathinam , Tomasz Paterek , Dipankar Home

Mutually unbiased bases (MUBs) constitute the canonical example of incompatible quantum measurements. One standard application of MUBs is the task known as quantum random access code (QRAC), in which classical information is encoded in a…

Quantum Physics · Physics 2020-04-02 Máté Farkas , Jędrzej Kaniewski

Random access codes are an intriguing class of communication tasks that reveal an operational and quantitative difference between classical and quantum information processing. We formulate a natural generalization of random access codes and…

Quantum Physics · Physics 2022-06-22 Teiko Heinosaari , Leevi Leppäjärvi

A $n^d \xrightarrow{p} 1$ Quantum Random Access Code (QRAC) is a communication task where Alice encodes $n$ classical bits into quantum states of dimension $d$ and transmits them to Bob, who performs appropriate measurements to recover the…

Unsharp measurements are increasingly important for foundational insights in quantum theory and quantum information applications. Here, we report an experimental implementation of unsharp qubit measurements in a sequential communication…

Random access code (RAC) communication protocol particularly useful when the communication between parties is restricted. In this work we built upon works that have previously proven quantum random access code (QRAC), in the absence of…

Quantum Physics · Physics 2024-02-07 Breno Marques , Rafael A. da Silva

Unsharp measurements play an increasingly important role in quantum information theory. In this paper, we study a three-party prepare-transform-measure experiment with unsharp measurements based on $ 3 \rightarrow 1 $ sequential random…

Quantum Physics · Physics 2021-07-07 Shihui Wei , Fenzhuo Guo , Fei Gao , Qiao-Yan Wen
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