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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

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

Quantum Random Access Codes (QRACs) embody the fundamental trade-off between the compressibility of information into limited quantum resources and the accessibility of that information, serving as a cornerstone of quantum communication and…

Quantum Physics · Physics 2026-01-28 Takayuki Suzuki

We study random number expansion protocols based on the $n \to 1$ quantum random access codes (QRACs). We consider them in the semi-device independent scenario where the inner workings of the devices are unknown to us but we can certify the…

Quantum Physics · Physics 2015-05-30 Hong-Wei Li , Marcin Pawłowski , Zhen-Qiang Yin , Guang-Can Guo , Zheng-Fu Han

We investigate the task of $d$-level random access codes ($d$-RACs) and consider the possibility of encoding classical strings of $d$-level symbols (dits) into a quantum system of dimension $d'$ strictly less than $d$. We show that the…

Quantum Physics · Physics 2017-03-07 Maria Quadeer , Manik Banik , Andris Ambainis , Ashutosh Rai

This paper presents finite-blocklength achievability bounds for the Gaussian multiple access channel (MAC) and random access channel (RAC) under average-error and maximal-power constraints. Using random codewords uniformly distributed on a…

Information Theory · Computer Science 2022-05-05 Recep Can Yavas , Victoria Kostina , Michelle Effros

Useful applications of quantum information technologies can be found by identifying tasks in which quantum resources outperform their classical counterparts. In this work, we introduce a two-party communication primitive, random exclusion…

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

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 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

An (n,1,p)-Quantum Random Access (QRA) coding, introduced by Ambainis, Nayak, Ta-shma and Vazirani in ACM Symp. on Theory of Computing 1999, is the following communication system: The sender which has n-bit information encodes his/her…

Quantum Physics · Physics 2009-11-13 Masahito Hayashi , Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

Quantum mechanics enables information-processing advantages even at the level of a single qubit. A paradigmatic example is the 2$\to$1 random access code (RAC), where a qubit outperforms a classical bit in retrieving encoded information. In…

Quantum Physics · Physics 2026-05-18 Souradeep Sasmal , Som Kanjilal , Debarshi Das

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.…

Quantum Physics · Physics 2023-04-11 Kosei Teramoto , Rudy Raymond , Hiroshi Imai

Recent days have witnessed significant interests in applying quantum-enhanced techniques for solving a variety of machine learning tasks. Variational methods that use quantum resources of imperfect quantum devices with the help of classical…

Quantum Physics · Physics 2021-11-15 Hiroshi Yano , Yudai Suzuki , Kohei M. Itoh , Rudy Raymond , Naoki Yamamoto

We explore the fundamental origin of the quantum advantage behind random access code. We propose new temporal inequalities compatible with noninvasive-realist models and show that any non-zero quantum advantage of n bits encoded to 1-bit…

Quantum Physics · Physics 2022-11-11 Subhankar Bera , Ananda G. Maity , Shiladitya Mal , A. S. Majumdar

Randomized encoding is a powerful cryptographic primitive with various applications such as secure multiparty computation, verifiable computation, parallel cryptography, and complexity lower-bounds. Intuitively, randomized encoding…

Quantum Physics · Physics 2021-11-05 Tomoyuki Morimae

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

Consider a random access communication scenario over a channel whose operation is defined for any number of possible transmitters. As in the model recently introduced by Polyanskiy for the Multiple Access Channel (MAC) with a fixed, known…

Information Theory · Computer Science 2021-03-19 Recep Can Yavas , Victoria Kostina , Michelle Effros

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…

Quantum Physics · Physics 2023-04-04 Kosei Teramoto , Rudy Raymond , Eyuri Wakakuwa , Hiroshi Imai

Multipartite entanglement plays a crucial role for the design of the Quantum Internet, due to its peculiarities with no classical counterpart. Yet, for entanglement-based quantum networks, a key open issue is constituted by the lack of an…

Quantum Physics · Physics 2024-05-01 Jessica Illiano , Marcello Caleffi , Michele Viscardi , Angela Sara Cacciapuoti