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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…

量子物理 · 物理学 2017-05-17 Ola Liabøtrø

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…

量子物理 · 物理学 2009-06-15 Andris Ambainis , Debbie Leung , Laura Mancinska , Maris Ozols

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…

量子物理 · 物理学 2026-05-19 Ruho Kondo , Yuki Sato , Hiroshi Yano , Yota Maeda , Kosuke Ito , Naoki Yamamoto

We study the communication protocol known as a Quantum Random Access Code (QRAC) which encodes $n$ classical bits into $m$ qubits ($m<n$) with a probability of recovering any of the initial $n$ bits of at least $p>\tfrac{1}{2}$. Such a code…

量子物理 · 物理学 2022-04-12 Laura Mančinska , Sigurd A. L. Storgaard

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…

量子物理 · 物理学 2023-06-16 Nitica Sakharwade , Michał Studziński , Michał Eckstein , Paweł Horodecki

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…

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…

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

An (n,m,p) Random Access Code (RAC) allows to encode n bits in an m bit message, in such a way that a receiver of the message can guess any of the original $n$ bits with probability p, greater than 1/2. In Quantum RAC's (QRACs) one…

量子物理 · 物理学 2013-05-29 Marcin Pawlowski , Marek Zukowski

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…

量子物理 · 物理学 2024-12-23 Andris Ambainis , Dmitry Kravchenko , Sk Sazim , Joonwoo Bae , Ashutosh Rai

This paper studies the gap between quantum one-way communication complexity $Q(f)$ and its classical counterpart $C(f)$, under the {\em unbounded-error} setting, i.e., it is enough that the success probability is strictly greater than 1/2.…

量子物理 · 物理学 2007-09-18 Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

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…

量子物理 · 物理学 2023-07-21 Som Kanjilal , C Jebarathinam , Tomasz Paterek , Dipankar Home

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.…

量子物理 · 物理学 2023-10-23 Gabriel Pereira Alves , Nicolas Gigena , Jędrzej Kaniewski

An $n\overset{p}{\mapsto}m$ random access code (RAC) is an encoding of $n$ bits into $m$ bits such that any initial bit can be recovered with probability at least $p$, while in a quantum RAC (QRAC), the $n$ bits are encoded into $m$ qubits.…

量子物理 · 物理学 2021-03-10 João F. Doriguello , Ashley Montanaro

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…

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…

量子物理 · 物理学 2019-08-21 Karthik Mohan , Armin Tavakoli , Nicolas Brunner

A quantum random access code (QRAC) is a map $x\mapsto\rho_x$ that encodes $n$-bit strings $x$ into $m$-qubit quantum states $\rho_x$, in a way that allows us to recover any one bit of $x$ with success probability $\geq p$. The measurement…

量子物理 · 物理学 2025-06-03 Han-Hsuan Lin , Ronald de Wolf

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…

量子物理 · 物理学 2020-06-30 Claudio Carmeli , Teiko Heinosaari , Alessandro Toigo

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…

量子物理 · 物理学 2015-06-11 Armin Tavakoli , Alley Hameedi , Breno Marques , Mohamed Bourennane

Quantum Random Access Optimizer (QRAO) is a quantum-relaxation based optimization algorithm proposed by Fuller et al. that utilizes Quantum Random Access Code (QRAC) to encode multiple variables of binary optimization in a single qubit. The…

量子物理 · 物理学 2023-04-04 Kosei Teramoto , Rudy Raymond , Eyuri Wakakuwa , Hiroshi Imai

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…

量子物理 · 物理学 2020-08-21 Giulio Foletto , Luca Calderaro , Giuseppe Vallone , Paolo Villoresi
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