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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.…

Quantum Physics · Physics 2007-09-18 Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

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

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

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…

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 resources and protocols are known to outperform their classical counterparts in variety of communication and information processing tasks. Random Access Codes (RACs) are one such cryptographically significant family of bipartite…

Quantum Physics · Physics 2021-07-28 Vaisakh M , Ram krishna Patra , Mukta Janpandit , Samrat Sen , Anubhav Chaturvedi , Manik Banik

A random access memory (RAM) uses n bits to randomly address N=2^n distinct memory cells. A quantum random access memory (qRAM) uses n qubits to address any quantum superposition of N memory cells. We present an architecture that…

Quantum Physics · Physics 2009-11-13 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

QRAO (Quantum Random Access Optimization) is a relaxation algorithm that reduces the number of qubits required to solve a problem by encoding multiple variables per qubit using QRAC (Quantum Random Access Code). Reducing the number of…

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

Quantum Random Access Memory (QRAM) has the potential to revolutionize the area of quantum computing. QRAM uses quantum computing principles to store and modify quantum or classical data efficiently, greatly accelerating a wide range of…

Quantum Physics · Physics 2023-05-03 Koustubh Phalak , Avimita Chatterjee , Swaroop Ghosh

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

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

When quantum systems interact with the environment they lose their quantum properties, such as coherence. Quantum erasure makes it possible to restore coherence in a system by measuring its environment, but accessing the whole of it may be…

Quantum Physics · Physics 2015-12-23 Filippo M. Miatto , Kevin Piché , Thomas Brougham , Robert W. Boyd

Quantum bit seal is a way to encode a classical bit quantum mechanically so that everyone can obtain non-zero information on the value of the bit. Moreover, such an attempt should have a high chance of being detected by an authorized…

Quantum Physics · Physics 2009-11-11 H. F. Chau

We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that each of the encoded bits can be recovered with high…

Quantum Physics · Physics 2008-06-13 Jop Briët , Ronald de Wolf

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

Quantum optimization methods use a continuous degree-of-freedom of quantum states to heuristically solve combinatorial problems, such as the MAX-CUT problem, which can be attributed to various NP-hard combinatorial problems. This paper…

Quantum Physics · Physics 2025-01-15 Ruho Kondo , Yuki Sato , Rudy Raymond , Naoki Yamamoto

Quantum classifiers provide sophisticated embeddings of input data in Hilbert space promising quantum advantage. The advantage stems from quantum feature maps encoding the inputs into quantum states with variational quantum circuits. A…

Quantum Physics · Physics 2021-09-07 Napat Thumwanit , Chayaphol Lortaraprasert , Hiroshi Yano , Rudy Raymond

We present a construction of one-time memories (OTMs) using classical-accessible stateless hardware, building upon the work of Broadbent et al. and Behera et al.. Unlike the aforementioned work, our approach leverages quantum random access…

Quantum Physics · Physics 2025-01-09 Lev Stambler

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