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Werner states have a host of interesting properties, which often serve to illuminate the unusual properties of quantum information. Starting from these states, one may define a family of quantum channels, known as the Holevo-Werner…

Quantum Physics · Physics 2018-11-15 Thomas P. W. Cope , Kenneth Goodenough , Stefano Pirandola

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

We establish a strong converse bound for the private classical capacity of anti-degradable quantum channels. Specifically, we prove that this capacity is zero whenever the error $\epsilon > 0$ and privacy parameter $\delta > 0$ satisfy the…

Quantum Physics · Physics 2025-07-22 Zahra Baghali Khanian , Christoph Hirche

We review recent results on the simulation of quantum channels, the reduction of adaptive protocols (teleportation stretching), and the derivation of converse bounds for quantum and private communication, as established in PLOB [Pirandola,…

We establish a one-shot strong converse bound for privacy amplification against quantum side information using trace distance as a security criterion. This strong converse bound implies that in the independent and identical scenario, the…

Quantum Physics · Physics 2022-02-22 Yu-Chen Shen , Li Gao , Hao-Chung Cheng

We explore several new converse bounds for classical communication over quantum channels in both the one-shot and asymptotic regimes. First, we show that the Matthews-Wehner meta-converse bound for entanglement-assisted classical…

Quantum Physics · Physics 2019-08-07 Xin Wang , Kun Fang , Marco Tomamichel

We provide a versatile upper bound on the number of maximally entangled qubits, or private bits, shared by two parties via a generic adaptive communication protocol over a quantum network when the use of classical communication is not…

Quantum Physics · Physics 2018-01-30 Luca Rigovacca , Go Kato , Stefan Bäuml , M. S. Kim , W. J. Munro , Koji Azuma

The quantum capacity of a noisy quantum channel determines the maximal rate at which we can code reliably over asymptotically many uses of the channel, and it characterizes the channel's ultimate ability to transmit quantum information…

Quantum Physics · Physics 2021-10-26 Xin Wang

Secret-key distillation from quantum states and channels is a central task of interest in quantum information theory, as it facilitates private communication over a quantum network. Here, we study the task of secret-key distillation from…

Quantum Physics · Physics 2025-06-16 Vishal Singh , Mark M. Wilde

Quantum communication relies on the existence of high quality quantum channels to exchange information. In practice, however, all communication links are affected by noise from the environment. Here we investigate the ability of quantum…

Quantum Physics · Physics 2025-08-12 Vishal Singh , Mark M. Wilde

Quantum privacy amplification is a central task in quantum cryptography. Given shared randomness, which is initially correlated with a quantum system held by an eavesdropper, the goal is to extract uniform randomness which is decoupled from…

Quantum Physics · Physics 2022-02-23 Robert Salzmann , Nilanjana Datta

Quantum entanglement can be used in a communication scheme to establish a correlation between successive channel inputs that is impossible by classical means. It is known that the classical capacity of quantum channels can be enhanced by…

Quantum Physics · Physics 2018-04-17 Dawei Ding , Mark M. Wilde

Quantum communications promises reliable transmission of quantum information, efficient distribution of entanglement and generation of completely secure keys. For all these tasks, we need to determine the optimal point-to-point rates that…

Quantum Physics · Physics 2017-04-27 Stefano Pirandola , Riccardo Laurenza , Carlo Ottaviani , Leonardo Banchi

The 2-receiver broadcast channel is studied: a network with three parties where the transmitter and one of the receivers are the primarily involved parties and the other receiver considered as third party. The messages that are determined…

Information Theory · Computer Science 2019-03-12 Farzin Salek , Min-Hsiu Hsieh , Javier R. Fonollosa

We derive a formal connection between quantum data hiding and quantum privacy, confirming the intuition behind the construction of bound entangled states from which secret bits can be extracted. We present three main results. First, we show…

Quantum Physics · Physics 2018-02-21 Matthias Christandl , Roberto Ferrara

Is there a meaningful quantum counterpart to public communication? We argue that the symmetric-side channel -- which distributes quantum information symmetrically between the receiver and the environment -- is a good candidate for a notion…

Quantum Physics · Physics 2013-04-09 Fernando G. S. L. Brandão , Jonathan Oppenheim

A fully general strong converse for channel coding states that when the rate of sending classical information exceeds the capacity of a quantum channel, the probability of correctly decoding goes to zero exponentially in the number of…

Quantum Physics · Physics 2013-05-29 Robert Koenig , Stephanie Wehner

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

We show that, if the accessible information is used as a security quantifier, quantum channels with a certain symmetry can convey private messages at a tremendously high rate, as high as less than one bit below the rate of non-private…

Quantum Physics · Physics 2015-04-01 Cosmo Lupo , Seth Lloyd

A quantum generalized divergence by definition satisfies the data-processing inequality; as such, the relative decrease in such a divergence under the action of a quantum channel is at most one. This relative decrease is formally known as…

Quantum Physics · Physics 2025-11-06 Theshani Nuradha , Mark M. Wilde
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