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A formulation of the generalized minimal output entropy conjecture for Gaussian channels is presented. It asserts that, for states with fixed input entropy, the minimal value of the output entropy of the channel (i.e. the minimal output…

量子物理 · 物理学 2015-05-18 V. Giovannetti , A. S. Holevo , S. Lloyd , L. Maccone

We study a class of quantum channels describing a quantum system, split into the direct sum of an excited and a ground sector, undergoing a one-way transfer of population from the former to the latter; this construction, which provides a…

量子物理 · 物理学 2023-05-31 Davide Lonigro , Dariusz Chruściński

We study extensions of a quantum channel whose one-way capacities are described by a single-letter formula. This provides a simple technique for generating powerful upper bounds on the capacities of a general quantum channel. We apply this…

量子物理 · 物理学 2009-02-20 Graeme Smith , John A. Smolin

We study the convergence of states under continuous-time depolarizing channels with full rank fixed points in terms of the relative entropy. The optimal exponent of an upper bound on the relative entropy in this case is given by the…

量子物理 · 物理学 2017-12-06 Alexander Müller-Hermes , Daniel Stilck Franca , Michael M. Wolf

Memoryless channels with deletion errors as defined by a stochastic channel matrix allowing for bit drop outs are considered in which transmitted bits are either independently deleted with probability $d$ or unchanged with probability…

信息论 · 计算机科学 2012-11-13 Mojtaba Rahmati , Tolga M. Duman

We extend the definition of the conditional min-entropy from bipartite quantum states to bipartite quantum channels. We show that many of the properties of the conditional min-entropy carry over to the extended version, including an…

量子物理 · 物理学 2019-04-04 Gilad Gour

We consider the problem of discriminating qubit states that are sent over a quantum channel and derive a necessary and sufficient condition for an optimal measurement to be preserved by the channel. We apply the result to the…

量子物理 · 物理学 2020-07-07 Spiros Kechrimparis , Joonwoo Bae

We introduce and investigate a family of entanglement-annihilating channels. These channels are capable of destroying any quantum entanglement within the system they act on. We show that they are not necessarily entanglement breaking. In…

量子物理 · 物理学 2010-06-15 Lenka Moravčíková , Mario Ziman

Quantum entropy inequalities are studied. Some quantum entropy inequalities are obtained by several methods. For entanglement breaking channel, we show that the entanglement-assisted classical capacity is upper bounded by $\log d$. A…

量子物理 · 物理学 2009-11-07 Heng Fan

We address the problem of optimally approximating the action of a desired and unavailable quantum channel $\Phi $ having at our disposal a single use of a given set of other channels $\{\Psi_i \}$. The problem is recast to look for the…

量子物理 · 物理学 2017-09-13 Massimiliano F. Sacchi , Tito Sacchi

A conjecture arising naturally in the investigation of additivity of classical information capacity of quantum channels states that the maximal purity of outputs from a quantum channel, as measured by the p-norm, should be multiplicative…

量子物理 · 物理学 2015-06-26 R. F. Werner , A. S. Holevo

We investigate the possibility of dividing quantum channels into concatenations of other channels, thereby studying the semigroup structure of the set of completely-positive trace-preserving maps. We show the existence of 'indivisible'…

数学物理 · 物理学 2015-06-26 Michael M. Wolf , J. Ignacio Cirac

Quantum correlations between two or more different degrees of freedom of the same particle is sometimes referred to as intraparticle entanglement. In this work, we study these intra-particle correlations between two different degrees of…

In this paper we initiate the study of entanglement-breaking (EB) superchannels. These are processes that always yield separable maps when acting on one side of a bipartite completely positive (CP) map. EB superchannels are a generalization…

量子物理 · 物理学 2020-07-21 Senrui Chen , Eric Chitambar

We consider a particle with a position-dependent mass, moving in a three-dimensional semi-infinite parallelepipedal or cylindrical channel under the influence of some hyperbolic potential. We show that the lack of uniformity in the…

量子物理 · 物理学 2007-05-23 C. Quesne

Two orthonormal bases B and B' of a d-dimensional complex inner-product space are called mutually unbiased if and only if |<b|b'>|^2=1/d holds for all b in B and b' in B'. The size of any set containing (pairwise) mutually unbiased bases of…

量子物理 · 物理学 2023-11-27 Andreas Klappenecker , Martin Roetteler

The concept of divisibility of dynamical maps is used to introduce an analogous concept for quantum channels by analyzing the \textit{simulability} of channels by means of dynamical maps. In particular, this is addressed for Lindblad…

量子物理 · 物理学 2020-01-22 David Davalos , Mario Ziman , Carlos Pineda

We explore the symmetry properties of Stinespring dilations of single-qubit Pauli channels, addressing both the generic case and the specific examples of phase damping and depolarizing channels. For each scenario, we derive the…

量子物理 · 物理学 2026-05-21 Marco Cattaneo

We introduce a model of non-Gaussian quantum channel that stems from the combination of two physically relevant processes occurring in open quantum systems, namely amplitude damping and dephasing. For it we find input states approaching…

量子物理 · 物理学 2016-09-07 Laleh Memarzadeh , Stefano Mancini

We address the question of the multiplicativity of the maximal p-norm output purities of bosonic Gaussian channels under Gaussian inputs. We focus on general Gaussian channels resulting from the reduction of unitary dynamics in larger…

量子物理 · 物理学 2009-11-10 A. Serafini , J. Eisert , M. M. Wolf