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We study the problem of entanglement-assisted quantum state redistribution in the one-shot setting and provide a new achievability result on the quantum communication required. Our bounds are in terms of the max-relative entropy and the…

Information Theory · Computer Science 2018-03-06 Anurag Anshu , Rahul Jain , Naqueeb Ahmad Warsi

We introduce a framework for distributed quantum inference under communication constraints. In our model, $m$ distributed nodes each receive one copy of an unknown $d$-dimensional quantum state $\rho$, before communicating via a constrained…

Quantum Physics · Physics 2026-04-08 Mina Doosti , Ryan Sweke , Chirag Wadhwa

This paper introduces the induced divergence, a new quantum divergence measure that replaces the hypothesis testing divergence in position-based decoding, simplifying the analysis of quantum communication and state redistribution while…

Quantum Physics · Physics 2025-02-20 Gilad Gour

Quantum mechanical effects have enabled the construction of cryptographic primitives that are impossible classically. For example, quantum copy-protection allows for a program to be encoded in a quantum state in such a way that the program…

Quantum Physics · Physics 2022-09-07 Alexandru Gheorghiu , Tony Metger , Alexander Poremba

Shared entanglement is a resource available to parties communicating over a quantum channel, much akin to public coins in classical communication protocols. Whereas shared randomness does not help in the transmission of information, or…

Quantum Physics · Physics 2018-03-22 Ashwin Nayak , Julia Salzman

Establishing quantum correlations between two remote parties by sending an information carrier is an essential step of many protocols in quantum information processing. We obtain trade-off relations between discords and coherence within a…

Quantum Physics · Physics 2022-03-25 Zhi-Xiang Jin , Xianqing Li-Jost , Shao-Ming Fei , Cong-Feng Qiao

We consider situations in which i) Alice wishes to send quantum information to Bob via a noisy quantum channel, ii) Alice has a classical description of the states she wishes to send and iii) Alice can make use of a finite amount of…

Quantum Physics · Physics 2009-11-07 Jonathan Barrett

We consider the task of faithfully simulating a distributed quantum measurement, wherein we provide a protocol for the three parties, Alice, Bob and Eve, to simulate a repeated action of a distributed quantum measurement using a pair of…

Information Theory · Computer Science 2020-08-17 Touheed Anwar Atif , Mohsen Heidari , S. Sandeep Pradhan

The mutual information is bounded from above by a decreasing affine function of the square of the distance between the input distribution and the set of all capacity-achieving input distributions $\Pi_{\mathcal{A}}$, on small enough…

Information Theory · Computer Science 2025-04-24 Barış Nakiboğlu , Hao-Chung Cheng

This paper studies the difficulty of discriminating between an arbitrary quantum channel and a "replacer" channel that discards its input and replaces it with a fixed state. We show that, in this particular setting, the most general…

Quantum Physics · Physics 2016-06-07 Tom Cooney , Milán Mosonyi , Mark M. Wilde

Distributing quantum state and entanglement between distant nodes is a crucial task in distributed quantum information processing on large-scale quantum networks. Quantum network coding provides an alternative solution for quantum state…

Quantum Physics · Physics 2019-11-05 He Lu , Zheng-Da Li , Xu-Fei Yin , Rui Zhang , Xiao-Xu Fang , Li Li , Nai-Le Liu , Feihu Xu , Yu-Ao Chen , Jian-Wei Pan

We consider the hypothetical quantum network case where Alice wishes to transmit one qubit of information (specifically a pure quantum state) to $M$ parties, where $M$ is some large number. The remote receivers locally perform single qubit…

Quantum Physics · Physics 2025-09-16 Elijah Pelofske

Understanding the power and limitations of classical and quantum information and how they differ is a fundamental endeavor. In property testing of distributions, a tester is given samples over a typically large domain $\{0,1\}^n$. An…

Quantum Physics · Physics 2024-11-26 Fernando Granha Jeronimo , Nir Magrafta , Joseph Slote , Pei Wu

We show that any classical two-way communication protocol with shared randomness that can approximately simulate the result of applying an arbitrary measurement (held by one party) to a quantum state of $n$ qubits (held by another), up to…

Quantum Physics · Physics 2019-07-03 Ashley Montanaro

A user, Alice, wants to get server Bob to implement a quantum computation for her. However, she wants to leave him blind to what she's doing. What are the minimal communication resources Alice must use in order to achieve…

Quantum Physics · Physics 2025-10-21 Ethan Davies , Alastair Kay

Quantum theory imposes fundamental limitations to the amount of information that can be carried by any quantum system. On the one hand, Holevo bound rules out the possibility to encode more information in a quantum system than in its…

Quantum Physics · Physics 2015-07-29 Michele Dall'Arno

A game is played by a team of two --- say Alice and Bob --- in which the value of a random variable $x$ is revealed to Alice only, who cannot freely communicate with Bob. Instead, she is given a quantum $n$-level system, respectively a…

Information Theory · Computer Science 2015-12-16 Péter E. Frenkel , Mihály Weiner

In this Ph.D. thesis, I investigate the communication abilities of non-inertial observers and the precision to which they can measure parametrized states. I introduce relativistic quantum field theory with field quantisation, and the…

Quantum Physics · Physics 2013-06-21 Dominic Hosler

We revisit a fundamental open problem in quantum information theory, namely whether it is possible to transmit quantum information at a rate exceeding the channel capacity if we allow for a non-vanishing probability of decoding error. Here…

Quantum Physics · Physics 2017-01-03 Marco Tomamichel , Mark M. Wilde , Andreas Winter

Sending quantum information reliably over long distances is a central challenge in quantum technology in general, and in quantum optics in particular, since most quantum communication relies on optical fibres or free-space links. Here, we…

Quantum Physics · Physics 2026-02-27 Tobias Rippchen , Ludovico Lami , Gerardo Adesso , Mario Berta
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