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The famous superdense coding protocol of Bennett and Wiesner demonstrates that it is possible to communicate two bits of classical information by sending only one qubit and using a shared EPR pair. Our first result is that an arbitrary…

Quantum Physics · Physics 2023-07-27 Ashwin Nayak , Henry Yuen

We propose a class of quantum no-key protocols for private communication of classical message based on quantum computing of random Boolean permutations, and demonstrate that they are information-theoretic secure. These protocols are…

Quantum Physics · Physics 2013-06-17 Li Yang

The classical communication complexity of testing closeness of discrete distributions has recently been studied by Andoni, Malkin and Nosatzki (ICALP'19). In this problem, two players each receive $t$ samples from one distribution over…

Computational Complexity · Computer Science 2023-12-29 Aleksandrs Belovs , Arturo Castellanos , François Le Gall , Guillaume Malod , Alexander A. Sherstov

The scalability of quantum computing is constrained by the physical and architectural limitations of monolithic quantum processors. Modular multi-core quantum architectures, which interconnect multiple quantum cores (QCs) via classical and…

We investigates a model of hybrid classical-quantum communication complexity, in which two parties first exchange classical messages and subsequently communicate using quantum messages. We study the trade-off between the classical and…

Computational Complexity · Computer Science 2026-04-23 Xudong Wu , Guangxu Yang , Penghui Yao

It is known that the maximum classical mutual information that can be achieved between measurements on a pair of quantum systems can drastically underestimate the quantum mutual information between those systems. In this article, we…

Quantum Physics · Physics 2014-09-08 Frédéric Dupuis , Jan Florjanczyk , Patrick Hayden , Debbie Leung

Quantum versus classical separation plays a central role in understanding the advantages of quantum computation. In this paper, we present the first exponential separation between quantum and bounded-error randomized communication…

Quantum Physics · Physics 2025-06-23 Guangxu Yang , Jiapeng Zhang

Superdense coding proved that entanglement-assisted quantum communications can improve the data transmission rates compared to classical systems. It allows sending 2 classical bits between the parties in exchange of 1 quantum bit and a…

Quantum Physics · Physics 2012-10-11 Sandor Imre

We characterize the complete set of protocols that may be used to securely encrypt n quantum bits using secret and random classical bits. In addition to the application of such quantum encryption protocols to quantum data security, our…

Quantum Physics · Physics 2007-05-23 P. Oscar Boykin , Vwani Roychowdhury

We investigate the randomized and quantum communication complexity of the Hamming Distance problem, which is to determine if the Hamming distance between two n-bit strings is no less than a threshold d. We prove a quantum lower bound of…

Quantum Physics · Physics 2011-11-04 Wei Huang , Yaoyun Shi , Shengyu Zhang , Yufan Zhu

We show how shared entanglement, together with classical communication and local quantum operations, can be used to perform an arbitrary collective quantum operation upon N spatially-separated qubits. A simple teleportation-based protocol…

Quantum Physics · Physics 2009-11-06 Anthony Chefles , Claire R. Gilson , Stephen M. Barnett

Communication complexity problems (CCPs) are tasks in which separated parties attempt to compute a function whose inputs are distributed among the parties. Their communication is limited so that not all inputs can be sent. We show that…

Quantum Physics · Physics 2017-04-12 Armin Tavakoli , Marek Zukowski

We define "coherent communication" in terms of a simple primitive, show it is equivalent to the ability to send a classical message with a unitary or isometric operation, and use it to relate other resources in quantum information theory.…

Quantum Physics · Physics 2009-11-10 Aram W. Harrow

Quantum machine learning is emerging as a promising application of quantum computing due to its distinct way of encoding and processing data. It is believed that large-scale quantum machine learning demonstrates substantial advantages over…

Quantum Physics · Physics 2025-01-15 Kiwmann Hwang , Hyang-Tag Lim , Yong-Su Kim , Daniel K. Park , Yosep Kim

We consider the characterization as well as the construction of quantum codes that allow to transmit both quantum and classical information, which we refer to as `hybrid codes'. We construct hybrid codes $[\![n,k{: }m,d]\!]_q$ with length…

Quantum Physics · Physics 2017-08-16 Markus Grassl , Sirui Lu , Bei Zeng

Quantum algorithms for simulating large and complex molecular systems are still in their infancy, and surpassing state-of-the-art classical techniques remains an ever-receding goal post. A promising avenue of inquiry in the meanwhile is to…

Quantum Physics · Physics 2025-08-07 Soohaeng Yoo Willow , D. ChangMo Yang , Chang Woo Myung

We show that a qubit can be used to substitute for an arbitrarily large number of classical bits. We consider a physical system S interacting locally with a classical field phi(x) as it travels directly from point A to point B. The field…

Quantum Physics · Physics 2007-05-23 Ernesto F. Galvao , Lucien Hardy

Two QKD protocols with limited classical Bob who performs only limited classical operations (preparing a (fresh) qubit in the classical basis and send it or doing nothing) are presented and are proved completely robust. As limited classical…

Quantum Physics · Physics 2011-10-13 Zhiwei Sun , Ruigang Du , Dongyang Long

Non-classical features of quantum systems have the potential to strengthen the way we currently exchange information. In this paper, we explore this enhancement on the most basic level of single particles. To be more precise, we compare how…

Quantum Physics · Physics 2024-09-25 Xinan Chen , Yujie Zhang , Andreas Winter , Virginia O. Lorenz , Eric Chitambar

We present a two-player communication task that can be solved by a protocol of polylogarithmic cost in the simultaneous message passing model with classical communication and shared entanglement, but requires exponentially more…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky
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