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Informationally complete measurements on a quantum system allow to estimate the expectation value of any arbitrary operator by just averaging functions of the experimental outcomes. We show that such kind of measurements can be achieved…

量子物理 · 物理学 2007-05-23 G. M. D'Ariano , P. Perinotti , M. F. Sacchi

Although quantum entanglement has already been verified experimentally and applied in quantum computing, quantum sensing and quantum networks, most of the existing measures cannot characterize the entanglement faithfully. In this work, by…

量子物理 · 物理学 2023-01-10 Zhi-Xiang Jin , Shao-Ming Fei , Xianqing Li-Jost , Cong-Feng Qiao

Bell state measurements, which project bipartite qubit systems onto the maximally entangled Bell basis, are central to a wide range of quantum information processing tasks, including quantum teleportation, entanglement swapping, and…

量子物理 · 物理学 2026-04-27 Luca Bianchi , Carlo Marconi , Davide Bacco

We study informationally overcomplete measurements for quantum state estimation so as to clarify their tomographic significance as compared with minimal informationally complete measurements. We show that informationally overcomplete…

量子物理 · 物理学 2014-08-06 Huangjun Zhu

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

Many prominent quantum computing algorithms with applications in fields such as chemistry and materials science require a large number of measurements, which represents an important roadblock for future real-world use cases. We introduce a…

The physical problem behind informationally complete (IC) measurements is determining an unknown state statistically by measurement outcomes, known as state tomography. It is of central importance in quantum information processing such as…

量子物理 · 物理学 2023-09-26 Hao Shu

Predicting the outcomes of quantum measurements is a cornerstone of quantum information theory and a key resource for quantum technologies. Here, we introduce a comprehensive framework for quantifying the predictability of measurements on a…

量子物理 · 物理学 2026-01-28 Dennis I. Martínez-Moreno , Miguel Castillo-Celeita , Diego G. Bussandri

Quantum systems can display particle- or wave-like properties, depending on the type of measurement that is performed on them. The Bell-state quantum eraser is an experiment that brings the duality to the forefront, as a single measurement…

量子物理 · 物理学 2017-01-11 Jennifer R. Glick , Christoph Adami

We report an experimental investigation of the role of measurement in quantum metrology when the states of the probes are mixed. In particular, we investigated optimized local measurements and general global projective measurements,…

量子物理 · 物理学 2021-02-22 R. S. Piera , S. P. Walborn , G. H. Aguilar

We study measures of quantum information when the space spanned by the set of accessible observables is not closed under products, i.e., we consider systems where an observer may be able to measure the expectation values of two operators,…

高能物理 - 理论 · 物理学 2018-08-15 Sudip Ghosh , Suvrat Raju

We consider realistic measurement systems, where measurements are accompanied by decoherence processes. The aim of this work is the construction of methods and algorithms for precise quantum measurements with fidelity close to the…

量子物理 · 物理学 2017-01-10 Yu. I. Bogdanov , B. I. Bantysh , N. A. Bogdanova , A. B. Kvasnyy , V. F. Lukichev

The expectation value <O> of an arbitrary operator O can be obtained via a universal measuring apparatus that is independent of O, by changing only the data-processing of the outcomes. Such a ``universal detector'' performs a joint…

量子物理 · 物理学 2007-05-23 G. M. D'Ariano , P. Perinotti , M. F. Sacchi

We discuss efficient methods to optimize the metrological performance over local Hamiltonians in a bipartite quantum system. For a given quantum state, our methods find the best local Hamiltonian for which the state outperforms separable…

量子物理 · 物理学 2026-05-25 Árpád Lukács , Róbert Trényi , Tamás Vértesi , Géza Tóth

Quantum measurement is a basic tool to manifest intrinsic quantum effects from fundamental tests to quantum information applications. While a measurement is typically performed to gain information on a quantum state, its role in quantum…

量子物理 · 物理学 2021-03-24 Seung-Woo Lee , Jaewan Kim , Hyunchul Nha

Informationally complete measurements form the foundation of universal quantum state reconstruction, while quantum parameter estimation is based on the local structure of the manifold of quantum states. Here we establish a general link…

量子物理 · 物理学 2025-12-18 Rakesh Saini , Jukka Kiukas , Daniel Burgarth , Alexei Gilchrist

Basic quantum information measures involved in the information analysis of quantum systems are considered. It is shown that the main quantum information measurement methods depend on whether the corresponding quantum events are compatible…

量子物理 · 物理学 2007-05-23 B. A. Grishanin , V. N. Zadkov

Estimation of quantum states and measurements is crucial for the implementation of quantum information protocols. The standard method for each is quantum tomography. However, quantum tomography suffers from systematic errors caused by…

量子物理 · 物理学 2018-10-19 Adam C. Keith , Charles H. Baldwin , Scott Glancy , E. Knill

In this thesis, we present optimization tools for different problems in quantum information theory. First, we introduce an algorithm for quantum estate estimation. The algorithm consists of orthogonal projections on intersecting…

量子物理 · 物理学 2022-04-19 Daniel Uzcategui Contreras

Evaluating an expectation value of an arbitrary observable $A\in{\mathbb C}^{2^n\times 2^n}$ through na\"ive Pauli measurements requires a large number of terms to be evaluated. We approach this issue using a method based on Bell…

量子物理 · 物理学 2022-04-20 Ruho Kondo , Yuki Sato , Satoshi Koide , Seiji Kajita , Hideki Takamatsu
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