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We discuss the concept of polarization states of four-dimensional quantum systems based on frequency non-degenerate biphoton field. Several quantum tomography protocols were developed and implemented for measurement of an arbitrary state of…

量子物理 · 物理学 2013-05-29 Yu. I. Bogdanov , E. V. Moreva , G. A. Maslennikov , R. F. Galeev , S. S. Straupe , S. P. Kulik

We establish the necessary and sufficient conditions for unbiased estimation in multi-parameter estimation tasks. More specifically, we first consider quantum state estimation, where multiple parameters are encoded in a quantum state, and…

量子物理 · 物理学 2026-03-03 Hyukgun Kwon , Kento Tsubouchi , Chia-Tung Chu , Liang Jiang

We consider bipartite systems as versatile probes for the estimation of transformations acting locally on one of the subsystems. We investigate what resources are required for the probes to offer a guaranteed level of metrological…

量子物理 · 物理学 2016-01-27 Alessandro Farace , Antonella De Pasquale , Gerardo Adesso , Vittorio Giovannetti

Quantum parameter estimation holds significant promise for achieving high precision through the utilization of the most informative measurements. While various lower bounds have been developed to assess the best accuracy for estimates, they…

量子物理 · 物理学 2024-07-19 Jianchao Zhang , Jun Suzuki

We address the problem of the optimal quantum estimation of the coupling parameter of a bilinear interaction, such as the transmittivity of a beam splitter or the internal phase-shift of an interferometer. The optimal measurement scheme…

量子物理 · 物理学 2007-05-23 G. Mauro D'Ariano , Matteo G. A. Paris , Paolo Perinotti

This paper is devoted to the study of the Bayesian-inference approach in the context of estimating the dipole coupling strength in matter-field interactions. In particular, we consider the simplest model of a two-level system interacting…

量子物理 · 物理学 2021-01-06 József Zsolt Bernád , Claudio Sanavio , André Xuereb

This paper provides a characterization for the set of antidegradable qubit channels. The characterization arises from the correspondence between the antidegradability of a channel and the symmetric extendibility of its Choi operator. Using…

量子物理 · 物理学 2017-12-12 Connor Paddock , Jianxin Chen

Given a finite number $N$ of copies of a qubit state we compute the maximum fidelity that can be attained using joint-measurement protocols for estimating its purity. We prove that in the asymptotic $N\to\infty$ limit, separable-measurement…

量子物理 · 物理学 2009-11-11 E. Bagan , M. A. Ballester , R. Munoz-Tapia , O. Romero-Isart

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 report experimental implementation of various types of qubit channels using an individual trapped ion. We analyzed experimental data and we performed tomographic reconstruction of quantum channels based on these data. Specifically, we…

量子物理 · 物理学 2009-04-07 Thilo Hannemann , Christof Wunderlich , Martin Plesch , Mario Ziman , Vladimir Buzek

We analyze the class of single qubit channels with the environment modeled by a one-qubit mixed state. The set of affine transformations for this class of channels is computed analytically, employing the canonical form for the two-qubit…

量子物理 · 物理学 2013-05-29 Geetu Narang , Arvind

We suggest and describe the protocol of measurements providing completely probabilistic representation of all parameters of biphoton polarization qutrits, i.e providing explicit expressions for all parameters of qutrits via the…

量子物理 · 物理学 2024-01-30 M. V. Fedorov , C. C. Mernova , K. V. Sliporod

Quantum resources, such as entanglement, can decrease the uncertainty of a parameter-estimation procedure beyond what is classically possible. This phenomenon is well described for noiseless systems with asymptotically many measurement…

量子物理 · 物理学 2021-08-09 Jason Saunders , Jean-Francois Van Huele

The most important ability of a quantum channel is to preserve the quantum properties of transmitted quantum states. We experimentally demonstrate a continuous-variable system for efficient benchmarking of quantum channels. We probe the…

Closed bipartite quantum systems subject to fast local unitary control are studied using quantum optimal control theory and a method of reduced control systems based on the Schmidt decomposition. Particular focus is given to the…

量子物理 · 物理学 2024-05-31 Emanuel Malvetti , Léo Van Damme

We describe an optimized, self-correcting procedure for the Bayesian inference of pure quantum states. By analyzing the history of measurement outcomes at each step, the procedure returns the most likely pure state, as well as the optimal…

量子物理 · 物理学 2015-09-14 Amir Kalev , Itay Hen

MIMO systems are considered as most promising for wireless communications. However, with an increasing number of radio front ends the corresponding energy consumption and costs become an issue, which can be relieved by the utilization of…

信息论 · 计算机科学 2019-09-30 Erico S. P. Lopes , Lukas T. N. Landau

The problem of quantum state discrimination between two wave functions of a particle in a square well potential is considered. The optimal minimum-error probability for the state discrimination is known to be given by the Helstrom bound. A…

量子物理 · 物理学 2010-10-26 Bernhard K. Meister

We introduce a class of quantum channels with correlations acting on pairs of qubits, where the correlation takes the form of a shift operator onto a maximally entangled state. We optimise the output purity and show that below a certain…

量子物理 · 物理学 2008-05-19 Filippo Caruso , Vittorio Giovannetti , Chiara Macchiavello , Mary Beth Ruskai

We present the results of generalized measurements of optical polarization designed to provide one of three or four distinct outcomes. This has allowed us to discriminate between nonorthogonal polarization states with an error probability…