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Here we propose an implementation of all possible Positive Operator Value Measures (POVMs) of two-photon polarization states. POVMs are the most general class of quantum measurements. Our setup requires linear optics, Bell State…

量子物理 · 物理学 2009-11-11 S. E. Ahnert , M. C. Payne

We propose a scheme that can realize a class of positive-operator-valued measures (POVMs) by performing a sequence of projective measurements on the original system, in the sense that for an arbitrary input state the probability…

量子物理 · 物理学 2007-05-23 Guoming Wang , Mingsheng Ying

Positive Operator Value Measures (POVMs) are the most general class of quantum measurements. We propose a setup in which all possible POVMs of a single photon polarization state (corresponding to all possible sets of two-dimensional Kraus…

量子物理 · 物理学 2009-11-10 S. E. Ahnert , M. C. Payne

We establish contact between the delocalization properties of pure quantum states, as quantified by their number of principal components, and the average generalized entanglement properties, as quantified by purity measures relative to…

量子物理 · 物理学 2009-11-13 Lorenza Viola , Winton G. Brown

Complete measurement of a quantum observable (POVM) is a measurement of the maximally refined version of the POVM. Complete measurements give information on multiplicities of measurement outcomes and can be viewed as state preparation…

量子物理 · 物理学 2015-06-05 Juha-Pekka Pellonpää

To quantify the entanglement is one of the most important topics in quantum entanglement theory. In [arXiv: 2006.12408], the authors proposed a method to build a measure from the orginal domain to a larger one. Here we apply that method to…

量子物理 · 物理学 2021-04-21 Xian Shi , Lin Chen

Generalized measurement schemes on one part of bipartite states, which would leave the set of all separable states insensitive are explored here to understand quantumness of correlations in a more general perspecitve. This is done by…

量子物理 · 物理学 2012-01-04 A. R. Usha Devi , A. K. Rajagopal , Sudha

Multiparty quantum states are useful for a variety of quantum information and computation protocols. We define a multiparty entanglement measure based on local measurements on a multiparty quantum state, and an entanglement measure averaged…

In this report, we present a framework for implementing an arbitrary $n$-outcome generalized quantum measurement (POVM) on an $m$-qubit register as a sequence of two-outcome measurements requiring only single ancillary qubit. Our procedure…

量子物理 · 物理学 2024-07-16 Daniel Reitzner , Jan Bouda

The direct measurement of nonlocal properties of entangled quantum systems has been the subject of several recent experimental investigations. Of particular interest is the implementation of nonlocal measurements via indirect measurement…

量子物理 · 物理学 2021-03-02 Pierre Vidil , Keiichi Edamatsu

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…

量子物理 · 物理学 2007-05-23 G. Chiribella , G. M. D'Ariano

We report an experimental implementation of a single-qubit generalised measurement scenario(POVM) based on a quantum walk model. The qubit is encoded in a single-photon polarisation. The photon performs a quantum walk on an array of optical…

量子物理 · 物理学 2015-01-22 Yuan-yuan Zhao , Neng-kun Yu , Pawe Kurzynski , Guo-yong Xiang , Chuan-Feng Li , Guang-Can Guo

We study the local implementation of POVMs when we require only the faithful reproduction of the statistics of the measurement outcomes for all initial states. We first demonstrate that any POVM with separable elements can be implemented by…

量子物理 · 物理学 2007-05-23 S. Virmani , M. B. Plenio

We provide several applications of a previously introduced isomorphism between physical operations acting on two systems and entangled states [1]. We show: (i) how to implement (weakly) non-local two qubit unitary operations with a small…

量子物理 · 物理学 2009-11-06 W. Dür , J. I. Cirac

We present a correspondence between positive operator valued measures (POVMs) and sets of generalized coherent states. Positive operator valued measures describe quantum observables and, similarly to quantum states, also quantum observables…

量子物理 · 物理学 2012-06-06 Teiko Heinosaari , Juha-Pekka Pellonpää

We study possible realizations of generalized quantum measurements on measurement-assisted programmable quantum processors. We focus our attention on the realization of von Neumann measurements and informationally complete POVMs. It is…

量子物理 · 物理学 2016-09-08 Mario Ziman , Vladimir Buzek

In a recent Letter~[PRL \textbf{121}, 130404 (2018)], it was announced that the spin-coherent-state POVM can be implemented via a nonadaptive continuous isotropic measurement. In this article, the mathematical concepts used to prove this…

量子物理 · 物理学 2019-03-07 Chris S. Jackson

We present graphical representation for genaralized quantum measurements (POVM). We represent POVM elements as Bloch vectors and find the conditions these vectors should satisfy in order to describe realizable physical measurements. We show…

量子物理 · 物理学 2007-05-23 Pawel Kurzynski , Andrzej Grudka

We consider the problem of obtaining maximally entangled photon states at distance in the presence of loss. We compare the efficiency of two different schemes in establishing $N$ shared ebits: i) $N$ single ebit states with the qubit…

量子物理 · 物理学 2009-11-07 G. M. D'Ariano , M. F. Sacchi

We study separability problem using general symmetric informationally complete measurements and propose separability criteria in $\mathbb{C}^{d_{1}}\otimes\mathbb{C}^{d_{2}}$ and…

量子物理 · 物理学 2019-03-19 Ya Xi , Zhu-Jun Zheng , Chuan-Jie Zhu