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We study covert classical communication over a quantum multiple-access channel (MAC) with a helper. Specifically, we consider three transmitters, where one transmitter helps the other two transmitters communicate covertly with a receiver.…

Information Theory · Computer Science 2025-12-03 Hassan ZivariFard , Rémi A. Chou , Xiaodong Wang

We study geometric consistency relations between angles on 3-dimensional (3D) circular quadrilateral lattices -- lattices whose faces are planar quadrilaterals inscribable into a circle. We show that these relations generate canonical…

High Energy Physics - Theory · Physics 2008-11-26 Vladimir V. Bazhanov , Vladimir V. Mangazeev , Sergey M. Sergeev

We study the power of quantum channels with little or no capacity for private communication. Because privacy is a necessary condition for quantum communication, one might expect that such channels would be of little use for transmitting…

Quantum Physics · Physics 2009-02-20 Graeme Smith , John Smolin

The length scale separation in dilute quantum gases in quasi-one-dimensional or quasi-two-dimensional traps has spatially divided the system into two distinct regimes. Whereas universal relations defined in strict one or two dimensions…

Quantum Gases · Physics 2021-10-13 Mingyuan He , Qi Zhou

We consider a family of quantum channels characterized by the fact that certain (in general nonorthogonal) Pure states at the channel entrance are mapped to (tensor) Products of Pure states (PPP, hence "pcubed") at the complementary outputs…

Quantum Physics · Physics 2017-02-21 Vikesh Siddhu , Robert B. Griffiths

The simplest building blocks for quantum computations are the qbit-qbit quantum channels. In this paper we analyse the structure of these channels via their Choi representation. The restriction of a quantum channel to the space of classical…

Mathematical Physics · Physics 2016-07-06 Attila Lovas , Attila Andai

A quantum communication channel can be put to many uses: it can transmit classical information, private classical information, or quantum information. It can be used alone, with shared entanglement, or together with other channels. For each…

Information Theory · Computer Science 2010-07-20 Graeme Smith

We study covert communication and covert secret key generation with positive rates over quantum state-dependent channels. Specifically, we consider fully quantum state-dependent channels when the transmitter shares an entangled state with…

Information Theory · Computer Science 2025-12-01 Hassan ZivariFard , Rémi A. Chou , Xiaodong Wang

We present an "uncertainty principle" for quantum channels, showing a relationship between the dimensions of the range of a channel and the range of its complement. We examine some interesting specific cases, and discuss consequences for…

Quantum Physics · Physics 2016-11-22 Jeremy Levick

The secure transfer of information is an important problem in modern telecommunications. Quantum key distribution (QKD) provides a solution to this problem by using individual quantum systems to generate correlated bits between remote…

Quantum Physics · Physics 2013-08-02 S. Etcheverry , G. Cañas , E. S. Gómez , W. A. T. Nogueira , C. Saavedra , G. B. Xavier , G. Lima

Genuine entanglement is the strongest form of multipartite entanglement. Genuinely entangled pure states contain entanglement in every bipartition and as such can be regarded as a valuable resource in the protocols of quantum information…

Quantum Physics · Physics 2021-12-07 K. V. Antipin

The quantum capacity of a quantum channel is always smaller than the capacity of the channel for private communication. However, both quantities are given by the infinite regularization of respectively the coherent and the private…

Quantum Physics · Physics 2015-07-28 David Elkouss , Sergii Strelchuk

Quantum cryptographic conferencing (QCC) allows multiple parties to establish common secure keys in quantum networks with information-theoretic security. However, the secure transmission distances of current QCC implementations are still…

Quantum Physics · Physics 2026-01-27 Mi Zou , Bin-Chen Li , Shuai Zhao , Yingqiu Mao , Dandan Qin , Xiao Jiang , Teng-Yun Chen , Jian-Wei Pan

We introduce the notion of hidden quantum correlations. We present the mean values of observables depending on one classical random variable described by the probability distribution in the form of correlation functions of two (three, etc.)…

Quantum Physics · Physics 2015-07-23 Margarita A. Man'ko , Vladimir I. Man'ko

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

Many alternative approaches to construct quantum channels with large entangling capacity were proposed in the past decade, resulting in multiple isolated gates. In this work, we put forward a novel one, inspired by convolution, which…

Quantum Physics · Physics 2026-04-22 Rafał Bistroń , Jakub Czartowski , Karol Życzkowski

We introduce potential capacities of quantum channels in an operational way and provide upper bounds for these quantities, which quantify the ultimate limit of usefulness of a channel for a given task in the best possible context.…

Quantum Physics · Physics 2016-02-17 Andreas Winter , Dong Yang

We investigate the approximate quantum state sharing protocol based on random unitary channels, which is secure against any exterior or interior attackers in principle. Although the protocol leaks small information for a security parameter…

Quantum Physics · Physics 2014-07-24 Dong Pyo Chi , Kabgyun Jeong

We investigate the coherence of quantum channels and establish a resource theory for quantifying the coherence of quantum channels via Choi matrix. To this aim, we define the incoherent channels and incoherent superchannels. This theory…

Quantum Physics · Physics 2019-11-12 Jianwei Xu

If a quantum channel or process cannot be described by any measure-and-prepare scheme, we may say the channel is in \textit{quantum domain} (QD) since it can transmit quantum correlations. The concept of QD clarifies the role of quantum…

Quantum Physics · Physics 2008-09-29 Ryo Namiki