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Einstein-Podolsky-Rosen (EPR) steering is a form of quantum nonlocality which is intermediate between entanglement and Bell nonlocality. EPR steering is a resource for quantum key distribution that is device independent on only one side in…

Quantum Physics · Physics 2016-09-29 C. Jebaratnam

We tackle the dynamical description of the quantum measurement process, by explicitly addressing the interaction between the system under investigation with the measurement apparatus, the latter ultimately considered as macroscopic quantum…

Quantum Physics · Physics 2019-07-31 A. De Pasquale , C. Foti , A. Cuccoli , V. Giovannetti , P. Verrucchi

In quantum theory general measurements are described by so-called Positive Operator-Valued Measures (POVMs). We show that in $d$-dimensional quantum systems an application of depolarizing noise with constant (independent of $d$) visibility…

Quantum Physics · Physics 2025-01-17 Michał Kotowski , Michał Oszmaniec

We present an efficient method to solve the quantum discord of two-qubit X states exactly. A geometric picture is used to clarify whether and when the general POVM measurement is superior to von Neumann measurement. We show that either the…

Quantum Physics · Physics 2015-06-03 Mingjun Shi , Chunxiao Sun , Fengjian Jiang , Xinhu Yan , Jiangfeng Du

We characterize the asymptotic performance of a class of positive operator valued measurements (POVMs) where the only task is to make measurements on independent and identically distributed quantum states on finite-dimensional systems. The…

Quantum Physics · Physics 2016-11-24 Janis Nötzel

Non-locality and quantum measurement are two fundamental topics in quantum theory and theirinterplay attracts intensive focus since the discovery of Bell theorem. Non-locality sharing amongmultiple observers is predicted and experimentally…

Quantum Physics · Physics 2022-04-06 Jie Zhu , Meng-Jun Hu , Guang-Can Guo , Chuan-Feng Li , Yong-Sheng Zhang

Every sufficiently rich set of measurements on a fixed quantum system defines a statistical norm on the states of that system via the optimal bias that can be achieved in distinguishing the states using measurements from that set (assuming…

Quantum Physics · Physics 2010-08-03 William Matthews , Stephanie Wehner , Andreas Winter

Einstein-Podolsky-Rosen (EPR) steering is a form of quantum correlation that exhibits a fundamental asymmetry in the properties of quantum systems. Given two observers, Alice and Bob, it is known to exist bipartite entangled states which…

Quantum Physics · Physics 2021-11-09 István Márton , Sándor Nagy , Erika Bene , Tamás Vértesi

The development of large-scale quantum networks promises to bring a multitude of technological applications as well as shed light on foundational topics, such as quantum nonlocality. It is particularly interesting to consider scenarios…

Quantum Physics · Physics 2021-11-09 Benjamin D. M. Jones , Ivan Šupić , Roope Uola , Nicolas Brunner , Paul Skrzypczyk

A Positive Operator Valued Measure (POVM) is a map $F:\mathcal{B}(X)\to\mathcal{L}_s^+(\mathcal{H})$ from the Borel $\sigma$-algebra of a topological space $X$ to the space of positive self-adjoint operators on a Hilbert space…

Functional Analysis · Mathematics 2018-04-03 Roberto Beneduci

A suitable generalized measurement described by a 4-element positive operator-valued measure (POVM) on each particle of a two-qubit system in the singlet state is, from the point of view of Einstein, Podolsky, and Rosen's (EPR's) criterion…

Quantum Physics · Physics 2009-07-28 Adan Cabello

Einstein-Podolsky-Rosen (EPR) steering describes how different ensembles of quantum states can be remotely prepared by measuring one particle of an entangled pair. Here, we investigate quantum steering for single quantum d-dimensional…

Quantum Physics · Physics 2015-12-10 Che-Ming Li , Yueh-Nan Chen , Neill Lambert , Ching-Yi Chiu , Franco Nori

Quantum hypothesis testing (QHT) provides an effective method to discriminate between two quantum states using a two-outcome positive operator-valued measure (POVM). Two types of decision errors in a QHT can occur. In this paper we focus on…

Quantum Physics · Physics 2023-07-13 Yi Shen , Carlo Maria Scandolo , Lin Chen

A bipartite Bell inequality is derived which is maximally violated on the two-qubit state space if measurements describable by positive operator valued measure (POVM) elements are allowed rather than restricting the possible measurements to…

Quantum Physics · Physics 2015-05-19 T. Vértesi , E. Bene

We consider Einstein-Podolsky-Rosen steering in the regime where the parties can perform collective measurements on many copies of a given shared entangled state. We derive a simple and efficient condition for guaranteeing that an entangled…

Quantum Physics · Physics 2017-01-04 Marco Túlio Quintino , Marcus Huber , Nicolas Brunner

We characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is…

Quantum Physics · Physics 2007-05-23 G. Chiribella , G. M. D'Ariano

The paper deals with quantum pulse position modulation (PPM), both in the absence (pure states) and in the presence (mixed states) of thermal noise, using the Glauber representation of coherent laser radiation. The objective is to find…

Quantum Physics · Physics 2009-11-16 G. Cariolaro , G. Pierobon

Entangled two-qubit states are the core building blocks for constructing quantum communication networks. Their accurate verification is crucial to the functioning of the networks, especially for untrusted networks. In this work we study the…

Quantum Physics · Physics 2022-10-24 Yukun Wang , Xinjian Liu , Shaoxuan Wang , Haoying Zhang , Yunguang Han

We present a local-hidden-variable model for positive-operator-valued measurements (an LHVPOV model) on a class of entangled generalized Werner states, thus demonstrating that such measurements do not always violate a Bell-type inequality.…

Quantum Physics · Physics 2009-11-07 Jonathan Barrett

The study of stronger-than-quantum phenomena (i.e., postquantum) has enabled a deeper understanding of the scope of quantum theory. Much is known about the case of correlations in Bell scenarios, where the device-independent framework…

Quantum Physics · Physics 2026-04-09 Ana Belen Sainz
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