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The quantization of the output of a binary-input discrete memoryless channel to a smaller number of levels is considered. An algorithm which finds an optimal quantizer, in the sense of maximizing mutual information between the channel input…

信息论 · 计算机科学 2014-05-16 Brian M. Kurkoski , Hideki Yagi

We test a general method to detect lower bounds of the quantum channel capacity for two-qubit correlated channels. We consider in particular correlated dephasing, depolarising and amplitude damping channels. We show that the method is…

量子物理 · 物理学 2016-12-01 Chiara Macchiavello , Massimiliano F. Sacchi

We demonstrate experimentally the possibility of efficiently detecting properties of quantum channels and quantum gates. The optimal detection scheme is first achieved for non entanglement breaking channels of the depolarizing form and is…

Quantum networks entangle remote nodes by distributing quantum states, which inevitably suffer from decoherence while traversing quantum channels. Pertinent decoherence mechanisms govern the channel capacity, its reach, and the quality and…

量子物理 · 物理学 2018-11-08 Daniel E. Jones , Brian T. Kirby , Michael Brodsky

The quantum capacity of a memoryless channel is often used as a single figure of merit to characterize its ability to transmit quantum information coherently. The capacity determines the maximal rate at which we can code reliably over…

量子物理 · 物理学 2016-05-10 Marco Tomamichel , Mario Berta , Joseph M. Renes

Adaptive measurements were recently shown to significantly improve the performance of quantum state tomography. Utilizing information about the system for the on-line choice of optimal measurements allows to reach the ultimate bounds of…

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

A significant problem for current quantum computers is noise. While there are many distinct noise channels, the depolarizing noise model often appropriately describes average noise for large circuits involving many qubits and gates. We…

The common approach of designing a communication device is to maximize a well-defined objective function, e.g., the channel capacity and the cut-off rate. We propose easy-to-implement solutions for Gaussian channels that approximate the…

信息论 · 计算机科学 2016-03-24 Qian Yu

We address the problem of the robustness of entanglement of bipartite systems (qubits) interacting with dynamically independent environments. In particular, we focus on characterization of so-called local entanglement-annihilating two-qubit…

量子物理 · 物理学 2012-01-05 Sergey N. Filippov , Tomas Rybar , Mario Ziman

The aim of the channel estimation is to estimate the parameters encoded in a quantum channel. For this aim, it is allowed to choose the input state as well as the measurement to get the outcome. Various precision bounds are known for the…

量子物理 · 物理学 2024-11-21 Masahito Hayashi , Yingkai Ouyang

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

机器学习 · 统计学 2016-09-13 Yuval Harel , Ron Meir , Manfred Opper

A method to optimize the cost of a quantum channel is developed. The goal is to determine the cheapest channel that produces prescribed output states for a given set of input states. This is essentially a quantum version of optimal…

量子物理 · 物理学 2021-09-22 Rocco Duvenhage

We consider the problem of optimally discriminating two Pauli channels in the minimax strategy, maximizing the smallest of the probabilities of correct identification of the channel. We find the optimal input state at the channel and show…

量子物理 · 物理学 2009-11-11 G. Mauro D'Ariano , Massimiliano F. Sacchi , Jonas Kahn

We present optimal measuring strategies for the estimation of the entanglement of unknown two-qubit pure states and of the degree of mixing of unknown single-qubit mixed states, of which N identical copies are available. The most general…

量子物理 · 物理学 2009-10-31 A. Acin , R. Tarrach , G. Vidal

Using the convex structure of positive operator value measurements and of several quantities used in quantum metrology, such as quantum Fisher information or the quantum Van Trees information, we present an efficient numerical method to…

量子物理 · 物理学 2020-08-11 Esteban Martínez-Vargas , Carlos Pineda , Pablo Barberis-Blostein

In this paper, we address the problem of designing a quantum encoder that maximizes the minimum output purity of a given decohering channel, where the minimum is taken over all possible pure inputs. This problem is cast as a max-min…

量子物理 · 物理学 2011-11-09 Naoki Yamamoto , Maryam Fazel

We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over all balanced bipartitions. We search for those (maximally multipartite entangled) states whose purity…

量子物理 · 物理学 2010-02-01 Paolo Facchi , Giuseppe Florio , Ugo Marzolino , Giorgio Parisi , Saverio Pascazio

We consider an arbitrary qubit channel depending on a single parameter, which is to be estimated by a physical process. Using the quantum Fisher information per channel invocation to quantify the estimation accuracy, we consider various…

量子物理 · 物理学 2019-02-06 David Collins

We investigate the estimation of dephasing-induced decoherence in continuous-variable quantum systems using non-Gaussian probe states. By purifying the open system, we identify optimal probes, specifically squeezed cat and symmetric…

量子物理 · 物理学 2026-01-27 Arman , Prasanta K. Panigrahi