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Related papers: On Slepian--Wolf Theorem with Interaction

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We propose the problem of wiretapped commitment, where two parties, say committer Alice and receiver Bob, engage in a commitment protocol using a noisy channel as a resource, in the presence of an eavesdropper, say Eve. Noisy versions of…

Information Theory · Computer Science 2024-06-21 Anuj Kumar Yadav , Manideep Mamindlapally , Amitalok J. Budkuley

The Collision problem is to decide whether a given list of numbers $(x_1,\ldots,x_n)\in[n]^n$ is $1$-to-$1$ or $2$-to-$1$ when promised one of them is the case. We show an $n^{\Omega(1)}$ randomised communication lower bound for the natural…

Computational Complexity · Computer Science 2022-08-11 Mika Göös , Siddhartha Jain

We consider general prepare-and-measure scenarios in which Alice can transmit qubit states to Bob, who can perform general measurements in the form of positive operator-valued measures (POVMs). We show that the statistics obtained in any…

Quantum Physics · Physics 2023-03-29 Martin J. Renner , Armin Tavakoli , Marco Túlio Quintino

Motivated by the human-machine interaction such as training chatbots for improving customer satisfaction, we study human-guided human-machine interaction involving private information. We model this interaction as a two-player turn-based…

Machine Learning · Statistics 2022-12-26 Zuyue Fu , Zhengling Qi , Zhuoran Yang , Zhaoran Wang , Lan Wang

We have implemented an experimental set-up in order to demonstrate the feasibility of time-coding protocols for quantum key distribution. Alice produces coherent 20 ns faint pulses of light at 853 nm. They are sent to Bob with delay 0 ns…

Quantum Physics · Physics 2007-05-23 William Boucher , Thierry Debuisschert

We study a model of communication complexity that encompasses many well-studied problems, including classical and quantum communication complexity, the complexity of simulating distributions arising from bipartite measurements of shared…

Quantum Physics · Physics 2011-07-08 Julien Degorre , Marc Kaplan , Sophie Laplante , Jérémie Roland

We study a distributed estimation problem in which two remotely located parties, Alice and Bob, observe an unlimited number of i.i.d. samples corresponding to two different parts of a random vector. Alice can send $k$ bits on average to…

Statistics Theory · Mathematics 2018-06-26 Uri Hadar , Ofer Shayevitz

Alice and Bob each have half of a pair of entangled qubits. Bob measures his half and then passes his qubit to a second Bob who measures again and so on. The goal is to maximize the number of Bobs that can have an expected violation of the…

Quantum Physics · Physics 2020-09-02 Peter J. Brown , Roger Colbeck

This work considers the two-way wiretap channel in which two legitimate users, Alice and Bob, wish to exchange messages securely in the presence of a passive eavesdropper Eve. In the full-duplex scenario, where each node can transmit and…

Information Theory · Computer Science 2011-10-04 Aly El Gamal , O. Ozan Koyluoglu , Moustafa Youssef , Hesham El Gamal

We show how to communicate Heisenberg-limited continuous (quantum) variables between Alice and Bob in the case where they occupy two inertial reference frames that differ by an unknown Lorentz boost. There are two effects that need to be…

Quantum Physics · Physics 2007-05-23 Pieter Kok , Timothy C. Ralph , Gerard J. Milburn

Suppose Alice and Bob have access to two separated regions, respectively, of a system of electrons moving in the presence of a regular one-dimensional lattice of binding atoms. We consider the problem of communicating as much quantum…

Quantum Physics · Physics 2013-05-30 Hulya Yadsan-Appleby , Tobias J. Osborne

The Slepian-Wolf bound on the admissible coding rate forms the most fundamental aspect of distributed source coding. As such, it is necessary to provide a framework with which to model more practical scenarios with respect to the…

Information Theory · Computer Science 2021-04-21 Benjamin Rosen , Adnan M. Abu-Mahfouz , Ling Cheng

We show that in the document exchange problem, where Alice holds $x \in \{0,1\}^n$ and Bob holds $y \in \{0,1\}^n$, Alice can send Bob a message of size $O(K(\log^2 K+\log n))$ bits such that Bob can recover $x$ using the message and his…

Data Structures and Algorithms · Computer Science 2016-07-15 Djamal Belazzougui , Qin Zhang

We present a quantum communication protocol which keeps all the properties of the ping-pong protocol [Phys. Rev. Lett. 89, 187902 (2002)] but improves the capacity doubly as the ping-pong protocol. Alice and Bob can use the variable…

Quantum Physics · Physics 2009-11-10 Qing-yu Cai , Bai-wen Li

According to Bell's theorem, certain entangled states cannot be simulated classically using local hidden variables (LHV). But if can we augment LHV by classical communication, how many bits are needed to simulate them? There is a strong…

Quantum Physics · Physics 2024-09-02 István Márton , Erika Bene , Péter Diviánszky , Tamás Vértesi

This paper studies the one-way communication complexity of the subgroup membership problem, a classical problem closely related to basic questions in quantum computing. Here Alice receives, as input, a subgroup $H$ of a finite group $G$;…

Computational Complexity · Computer Science 2021-10-05 Scott Aaronson , François Le Gall , Alexander Russell , Seiichiro Tani

We consider a setting of Slepian--Wolf coding, where the random bin of the source vector undergoes channel coding, and then decoded at the receiver, based on additional side information, correlated to the source. For a given distribution of…

Information Theory · Computer Science 2016-01-26 Neri Merhav

Assume that Alice can do only classical probabilistic polynomial-time computing while Bob can do quantum polynomial-time computing. Alice and Bob communicate over only classical channels, and finally Bob gets a state…

Quantum Physics · Physics 2022-11-16 Tomoyuki Morimae , Takashi Yamakawa

Alice wants to send an arbitrary binary word to Bob. We show here that there is no problem for her to do that with only two bits. Of course, we consider here information like a signal in 4D.

General Physics · Physics 2007-11-05 Serge Burckel

This paper introduces two information-theoretically secure protocols that achieve quantum secure direct communication between Alice and Bob in the first case, and among Alice, Bod and Charlie in the second case. Both protocols use the same…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos , Alla Sirokofskich
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