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Capitalizing on recent work, that clarifies the consistent use of bosonization-debosonization methods to study Kondo-type quantum impurity models even in nonequilibrium settings, we revisit the compactification procedure of the two-channel…

强关联电子 · 物理学 2024-08-09 Aleksandar Ljepoja , C. J. Bolech , Nayana Shah

In this work we aim at quantifying quantum channel output similarity. In order to achieve this, we introduce the notion of quantum channel superfidelity, which gives us an upper bound on the quantum channel fidelity. This quantity is…

量子物理 · 物理学 2018-10-12 Łukasz Pawela , Zbigniew Puchała

This paper investigates achievable information rates and error exponents of mismatched decoding when the channel belongs to the class of channels that are close to the decoding metric in terms of relative entropy. For both discrete- and…

信息论 · 计算机科学 2025-05-28 Priyanka Patel , Francesc Molina , Albert Guillén i Fàbregas

We study encodings that give the best known thresholds for the non-zero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to calculation of the threshold values. Our results show that…

量子物理 · 物理学 2009-02-22 Jesse Fern , K. Birgitta Whaley

Postselected quantum metrological scheme is especially advantageous when the final measurements are either very noisy or expensive in practical experiments. In this work, we put forward a general theory on the compression channels in…

量子物理 · 物理学 2024-06-25 Jing Yang

We consider the depolarizing channel in $d$ dimension defined as $D_x(\rho)=(1-x)\rho+x\: \textit{tr}({\rho}) \frac{I}{d}$, and explicitly find a quantum channel ${\cal N}_x$ which anti-degrades this, when $x\geq\frac{1}{2}$. This proves…

量子物理 · 物理学 2026-05-18 Shayan Roofeh , Vahid Karimipour

It is proved that every doubly stochastic quantum channel that is properly averaged with the completely depolarizing channel can be written as a convex combination of unitary channels. As a consequence, we find that the collection of…

量子物理 · 物理学 2008-07-18 John Watrous

This study examines multilevel channel polarization for a certain class of erasure channels that the input alphabet size is an arbitrary composite number. We derive limiting proportions of partially noiseless channels for such a class. The…

信息论 · 计算机科学 2020-08-24 Yuta Sakai , Ken-ichi Iwata , Hiroshi Fujisaki

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

Completely depolarising channels are often regarded as the prototype of physical processes that are useless for communication: any message that passes through them along a well-defined trajectory is completely erased. When two such channels…

量子物理 · 物理学 2021-11-10 Giulio Chiribella , Matt Wilson , H. F. Chau

A class of problems in quantum information theory, having an elementary formulation but still resisting solution, concerns the additivity properties of various quantities characterizing quantum channels, notably the "classical capacity",…

数学物理 · 物理学 2007-05-23 G. G. Amosov , A. S. Holevo , R. F. Werner

We consider various forms of a process, which we call {\em gluing}, for combining two or more complementary quantum channel pairs $(\mathcal{B},\mathcal{C})$ to form a composite. One type of gluing combines a perfect channel with a second…

量子物理 · 物理学 2021-10-07 Vikesh Siddhu , Robert B. Griffiths

Quantum channels can be mathematically represented as completely positive trace-preserving maps that act on a density matrix. A general quantum channel can be written as a convex sum of `extremal' channels. We show that for an $N$-level…

量子物理 · 物理学 2009-09-22 Kuldeep Dixit , E. C. G. Sudarshan

To decide whether a quantum channel is degradable is relatively easy: one has to find at least one example of a degrading quantum channel. But in general, no conclusive criterion exists to show the opposite. Using elementary methods we…

量子物理 · 物理学 2015-12-18 Kamil Bradler

Determining whether a noisy quantum channel can be used to reliably transmit quantum information at a non-zero rate is a challenging problem in quantum information theory. This is because it requires computation of the channel's coherent…

量子物理 · 物理学 2024-10-24 Satvik Singh , Nilanjana Datta

Evaluating the channel capacity is one of many key problems in information theory. In this work we derive rather-mild sufficient conditions under which the capacity is finite and achievable. These conditions are derived for generic,…

信息论 · 计算机科学 2015-12-18 Jihad Fahs , Ibrahim Abou-Faycal

In this work we design a specific simulation tool for quantum channels which is based on the use of a control system. This allows us to simulate an average quantum channel which is expressed in terms of an ensemble of channels, even when…

量子物理 · 物理学 2018-12-19 Stefano Pirandola , Riccardo Laurenza , Leonardo Banchi

We introduce a 3-parameter class of maps acting on a bipartite system that are a natural generalisation of the depolarizing channel (and include it as a special case). Then, we find the exact regions of the parameter space that…

量子物理 · 物理学 2017-06-02 Ludovico Lami , Marcus Huber

The quantum capacity captures the value of a quantum channel for transmitting quantum information, establishing the fundamental limits on quantum communication. In spite of its central role in quantum information theory, the quantum…

We characterized unital quantum channels of single photon polarization qubits. The channels are composed of two birefringent crystals and wave-plates, where their decoherence properties are controlled. An experimental comparison between two…

量子物理 · 物理学 2012-03-16 A. Shaham , H. S. Eisenberg