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The optimal measurement configuration, i.e., the optimal input quantum state and measurement in the form of a POVM with two elements, is investigated in this paper for qubit and generalized Pauli channels. The channel directions are defined…

量子物理 · 物理学 2015-11-23 László Ruppert , Dániel Virosztek , Katalin Hangos

A unified framework is proposed in this paper for parameter estimation using convex optimization and experiment design applying convex maximization for Pauli channels, that can be extended to generalized Pauli channels, too. In the case of…

量子物理 · 物理学 2011-07-06 G. Balló , K. M. Hangos

A convex optimization based method is proposed for quantum process tomography, in the case of known channel model structure, but unknown channel parameters. The main idea is to select an affine parametrization of the Choi matrix as a set of…

量子物理 · 物理学 2010-04-30 Gábor Balló , Katalin M. Hangos

We present a tomographic protocol for the characterization of multiqubit quantum channels. We discuss a specific class of input states, for which the set of Pauli measurements at the output of the channel directly relates to its Pauli…

量子物理 · 物理学 2023-11-01 Simone Roncallo , Lorenzo Maccone , Chiara Macchiavello

Pauli channels are ubiquitous in quantum information, both as a dominant noise source in many computing architectures and as a practical model for analyzing error correction and fault tolerance. Here we prove several results on efficiently…

量子物理 · 物理学 2022-02-23 Steven T. Flammia , Joel J. Wallman

Quantum process tomography, the standard procedure to characterize any quantum channel in nature, is affected by a circular argument: in order to characterize the channel, the tomographic preparation and measurement need in turn to be…

量子物理 · 物理学 2016-06-13 Michele Dall'Arno , Sarah Brandsen , Francesco Buscemi

We investigate the problem of determining the parameters that describe a quantum channel. It is assumed that the users of the channel have at best only partial knowledge of it and make use of a finite amount of resources to estimate it. We…

We explore the task of optimal quantum channel identification, and in particular the estimation of a general one parameter quantum process. We derive new characterizations of optimality and apply the results to several examples including…

量子物理 · 物理学 2009-11-10 Mohan Sarovar , G. J. Milburn

We present a new method for quantum process tomography. The method enables us to efficiently estimate, with fixed precision, any of the parameters characterizing a quantum channel. It is selective since one can choose to estimate the value…

量子物理 · 物理学 2008-01-08 Ariel Bendersky , Fernando Pastawski , Juan Pablo Paz

The accuracy of any physical scheme used to estimate the parameter describing the strength of a single qubit Pauli channel can be quantified using standard techniques from quantum estimation theory. It is known that the optimal estimation…

量子物理 · 物理学 2013-04-10 David Collins

We discuss the estimation of channel parameters for a noisy quantum channel - the so-called Pauli channel - using finite resources. It turns out that prior entanglement considerably enhances the fidelity of the estimation when we compare it…

量子物理 · 物理学 2009-11-07 Dietmar G. Fischer , Holger Mack , Markus A. Cirone , Matthias Freyberger

Pauli channels are fundamental in the context of quantum computing as they model the simplest kind of noise in quantum devices. We propose a quantum algorithm for simulating Pauli channels and extend it to encompass Pauli dynamical maps…

量子物理 · 物理学 2024-04-22 Tomas Basile , Carlos Pineda

Understanding the noise affecting a quantum device is of fundamental importance for scaling quantum technologies. A particularly important class of noise models is that of Pauli channels, as randomized compiling techniques can effectively…

量子物理 · 物理学 2025-05-19 Omar Fawzi , Aadil Oufkir , Daniel Stilck França

Quantum state tomography aims to determine the state of a quantum system as represented by a density matrix. It is a fundamental task in modern scientific studies involving quantum systems. In this paper, we study estimation of…

统计理论 · 数学 2016-03-25 Tony Cai , Donggyu Kim , Yazhen Wang , Ming Yuan , Harrison H. Zhou

We study the four well-known capacities of a two-parameter family of qubit Pauli channels. These are the channels which are covariant under the SO(2) group and contain the depolarizing channel as a special case. We find exact expressions…

量子物理 · 物理学 2023-09-01 Abbas Poshtvan , Vahid Karimipour

We present a quantum process-tomography protocol based on a low-degree ansatz for the quantum channel, i.e. when it can be expressed as a fixed-degree polynomial in terms of Pauli operators. We demonstrate how to perform tomography of such…

量子物理 · 物理学 2026-01-09 Marianna Crupi , J. Ignacio Cirac , Flavio Baccari

We present the experimental realization of the optimal estimation protocol for a Pauli noisy channel. The method is based on the generation of 2-qubit Bell states and the introduction of quantum noise in a controlled way on one of the state…

量子物理 · 物理学 2011-12-22 A. Chiuri , V. Rosati , G. Vallone , S. Pádua , H. Imai , S. Giacomini , C. Macchiavello , P. Mataloni

We investigate strategies for estimating a depolarizing channel for a finite dimensional system. Our analysis addresses the double optimization problem of selecting the best input probe state and the measurement strategy that minimizes the…

量子物理 · 物理学 2009-11-07 Masahide Sasaki , Masashi Ban , Stephen M. Barnett

The unavoidable presence of noise is a crucial roadblock for the development of large-scale quantum computers and the ability to characterize quantum noise reliably and efficiently with high precision is essential to scale quantum…

量子物理 · 物理学 2023-07-07 Cambyse Rouzé , Daniel Stilck França

We introduce a new generalization of the Pauli channels using the mutually unbiased measurement operators. The resulting channels are bistochastic but their eigenvectors are not unitary. We analyze the channel properties, such as complete…

量子物理 · 物理学 2020-09-09 Katarzyna Siudzińska
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