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We establish the classical capacity of optical quantum channels as a sharp transition between two regimes---one which is an error-free regime for communication rates below the capacity, and the other in which the probability of correctly…

Quantum Physics · Physics 2015-03-17 Bhaskar Roy Bardhan , Raul Garcia-Patron , Mark M. Wilde , Andreas Winter

This paper presents a systematic study of adversarial hypothesis testing for both quantum-quantum (QQ) and classical-quantum (CQ) channels. Unlike conventional channel discrimination, we consider a framework where the sender, Alice, selects…

Quantum Physics · Physics 2026-01-16 Masahito Hayashi , Hao-Chung Cheng , Li Gao

We consider a task in which classical information is encoded into a quantum system by an operation restricted by symmetry. The maximum amount of classical information that can be encoded under this restriction, namely the…

Quantum Physics · Physics 2021-10-18 Eyuri Wakakuwa

We prove a direct sum theorem for bounded round entanglement-assisted quantum communication complexity. To do so, we use the fully quantum definition for information cost and complexity that we recently introduced, and use both the fact…

Quantum Physics · Physics 2021-01-01 Dave Touchette

The Quantum Reverse Shannon Theorem states that any quantum channel can be simulated by an unlimited amount of shared entanglement and an amount of classical communication equal to the channel's entanglement assisted classical capacity. In…

Quantum Physics · Physics 2011-09-22 Mario Berta , Matthias Christandl , Renato Renner

In quantum weak oblivious transfer, Alice sends Bob two bits and Bob can learn one of the bits at his choice. It was found that the security of such a protocol is bounded by $2P_{Alice}^{\ast }+P_{Bob}^{\ast }\geq 2$, where $P_{Alice}^{\ast…

Quantum Physics · Physics 2015-06-15 Guang Ping He

In this article we establish new bounds on the quantum communication complexity of distributed problems. Specifically, we consider the amount of communication that is required to transform a bipartite state into another, typically more…

Quantum Physics · Physics 2007-05-23 Wim van Dam , Patrick Hayden

Like a silver thread, quantum entanglement [1] runs through the foundations and breakthrough applications of quantum information theory. It cannot arise from local operations and classical communication (LOCC) and therefore represents a…

We consider the quantum decoding problem. It consists in recovering a codeword given a superposition of noisy versions of this codeword. By measuring the superposition, we get back to the classical decoding problem. It appears for the first…

Quantum Physics · Physics 2026-02-05 Agathe Blanvillain , André Chailloux , Jean-Pierre Tillich

We find a strong-converse bound on the private capacity of a quantum channel assisted by unlimited two-way classical communication. The bound is based on the max-relative entropy of entanglement and its proof uses a new inequality for the…

Quantum Physics · Physics 2017-07-04 Matthias Christandl , Alexander Müller-Hermes

A fundamental tool to prove inner bounds in classical network information theory is the so-called conditional joint typicality lemma. In addition to the lemma, one often uses unions and intersections of typical sets in the inner bound…

Quantum Physics · Physics 2020-12-25 Pranab Sen

We study a distributed binary hypothesis testing (HT) problem with communication and security constraints, involving three parties: a remote sensor called Alice, a legitimate decision centre called Bob, and an eavesdropper called Eve, all…

Information Theory · Computer Science 2022-11-08 Sara Faour , Mustapha Hamad , Mireille Sarkiss , Michele Wigger

Martingale concentration inequalities constitute a powerful mathematical tool in the analysis of problems in a wide variety of fields ranging from probability and statistics to information theory and machine learning. Here we apply…

Quantum Physics · Physics 2017-03-07 Cambyse Rouze , Nilanjana Datta

Quantum Key Distribution is a quantum communication technique in which random numbers are encoded on quantum systems, usually photons, and sent from one party, Alice, to another, Bob. Using the data sent via the quantum signals,…

Quantum Physics · Physics 2014-09-09 T. C. Ralph , N. Walk

The classical channel remote state preparation (ccRSP) is an important two-party primitive in quantum cryptography. Alice (classical polynomial-time) and Bob (quantum polynomial-time) exchange polynomial rounds of classical messages, and…

Quantum Physics · Physics 2020-09-02 Tomoyuki Morimae , Yuki Takeuchi

We study achievable rates of reliable communication in a power-constrained two-way additive interference channel over the real alphabet where communication is disrupted by a power-constrained jammer. This models the wireless communication…

Information Theory · Computer Science 2020-01-10 Yihan Zhang , Shashank Vatedka , Sidharth Jaggi

In the counterfactual cryptography scheme proposed by Noh (2009), the sender Alice probabilistically transmits classical information to the receiver Bob without the physical travel of a particle. Here we generalize this idea to the…

Quantum Physics · Physics 2015-12-09 Akshata Shenoy H. , R. Srikanth

It is demonstrated that for the entanglement-based version of the Bennett-Brassard (BB84) quantum key distribution protocol, Alice and Bob share provable entanglement if and only if the estimated qubit error rate is below 25% or above 75%.…

Quantum Physics · Physics 2007-05-23 Georgios M. Nikolopoulos , Gernot Alber

We first consider quantum communication protocols between a sender Alice and a receiver Bob, which transfer Alice's quantum information to Bob by means of non-local resources, such as classical communication, quantum communication, and…

Quantum Physics · Physics 2018-09-07 Yonghae Lee , Soojoon Lee

In a Bell experiment two parties share a quantum state and perform local measurements on their subsystems separately, and the statistics of the measurement outcomes are recorded as a Bell correlation. For any Bell correlation, it turns out…

Quantum Physics · Physics 2017-04-28 Zhaohui Wei , Jamie Sikora