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Quantum coherence is a fundamental feature of quantum mechanics and an underlying requirement for most quantum information tasks. In the resource theory of coherence, incoherent states are diagonal with respect to a fixed orthonormal basis,…

量子物理 · 物理学 2019-09-18 Felix Bischof , Hermann Kampermann , Dagmar Bruß

We present an extension of the Wootters concurrence for the case of two qutrits in mixed states. The reduction of our extension to the case of two levels shows complete agreement with Wootters concurrence for two qubits. As an explicit…

量子物理 · 物理学 2007-05-23 César Herreño-Fierro , J. R. Luthra

We consider the convex sets of QO's (quantum operations) and POVM's (positive operator valued measures) which are covariant under a general finite-dimensional unitary representation of a group. We derive necessary and sufficient conditions…

量子物理 · 物理学 2007-05-23 Giacomo Mauro D'Ariano

Probability measures (quasi probability mass), given in the form of integrals of Wigner function over areas of the underlying phase space, give rise to operator valued probability measures (OVM). General construction methods of OVMs, are…

量子物理 · 物理学 2015-06-26 Demosthenes Ellinas

Unambiguous non-orthogonal state discrimination has fundamental importance in quantum information and quantum cryptography. The discrimination is carried out by POVM generalized measurements. For this process, we find a tradeoff between the…

量子物理 · 物理学 2015-04-16 Raam Uzdin , Omri Gat

The entanglement content of superpositions of quantum states is investigated based on a measure called {\it concurrence}. Given a bipartite pure state in arbitrary dimension written as the quantum superposition of two other such states, we…

量子物理 · 物理学 2009-11-13 J. Niset , N. J. Cerf

Quantum coherence with respect to orthonormal bases has been studied extensively in the past few years. Recently, Bischof, et al. [Phys. Rev. Lett. 123, 110402 (2019)] generalized it to the case of general positive operator-valued measure…

量子物理 · 物理学 2020-07-21 Jianwei Xu , Lian-He Shao , Shao-Ming Fei

The discrimination of quantum states is a central problem in quantum information science and technology. Meanwhile, partial post-selection has emerged as a valuable tool for quantum state engineering. In this work, we bring these two areas…

量子物理 · 物理学 2026-04-14 Qipeng Qian , Christos N. Gagatsos

In this paper we develop an algebraic framework in which several classes of two-valued states over orthomodular lattices may be equationally characterized. The class of two-valued states and the subclass of Jauch-Piron two-valued states are…

量子物理 · 物理学 2013-07-30 Graciela Domenech , Hector Freytes , Christian De Ronde

We show that a one-dimensional discrete time quantum walk can be used to implement a generalized measurement in terms of positive operator value measure (POVM) on a single qubit. More precisely, we show that for a single qubit any set of…

量子物理 · 物理学 2013-05-22 Pawel Kurzynski , Antoni Wojcik

In this paper, we study the concurrence of arbitrary dimensional tripartite quantum systems. An explicit operational lower bound of concurrence is obtained in terms of the concurrence of sub-states. A given example show that our lower bound…

量子物理 · 物理学 2017-10-31 Wei Chen , Shao-Ming Fei , Zhu-Jun Zheng

We present a general formalism for giving a measure space paired with a separable Hilbert space a quantum version based on normalized positive operator-valued measure. The latter are built from families of density operators labelled by…

量子物理 · 物理学 2019-11-06 Jean Pierre Gazeau , Barbara Heller

We consider group-covariant positive operator valued measures (POVMs) on a finite dimensional quantum system. Following Neumark's theorem a POVM can be implemented by an orthogonal measurement on a larger system. Accordingly, our goal is to…

量子物理 · 物理学 2023-11-27 Thomas Decker , Dominik Janzing , Martin Roetteler

We propose an oversimplified scheme to unambiguously discriminate nonorthogonal quantum field states inside high-Q cavities. Our scheme, which is based on positive operator-valued mea- sures (POVM) technique, uses a single three-level atom…

量子物理 · 物理学 2017-09-13 R. J. de Assis , J. S. Sales , N. G. de Almeida

It is commonly believed that the most general type of a quantum-mechanical measurement is one described by a positive-operator valued measure (POVM). In the present paper, this statement is proven for any measurements on quantum systems…

量子物理 · 物理学 2014-02-13 A. V. Nenashev

Via a multidimensional complementarity relation we derive a novel operational entanglement measure for any discrete quantum system, i.e. for any multidimensional and multipartite system. This new measure admits a separation into different…

量子物理 · 物理学 2009-11-13 Beatrix C. Hiesmayr , Marcus Huber

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…

量子物理 · 物理学 2019-07-31 A. De Pasquale , C. Foti , A. Cuccoli , V. Giovannetti , P. Verrucchi

Quantum state discrimination is a fundamental concept in quantum information theory, which refers to a class of techniques to identify a specific quantum state through a positive operator-valued measure. In this work, we investigate how…

量子物理 · 物理学 2025-07-09 Hyunho Cha , Jungwoo Lee

As a modern approach for the foundation of quantum theory, existing studies of General Probabilistic Theories gave various models of states and measurements that are quite different from quantum theory. In this paper, to seek a more…

量子物理 · 物理学 2020-10-14 Yuuya Yoshida , Hayato Arai , Masahito Hayashi

We consider the problem of discriminating quantum states, where the task is to distinguish two different quantum states with a complete classical knowledge about them, and the problem of classifying quantum states, where the task is to…

量子物理 · 物理学 2021-12-10 Fabio Zoratti , Nicola Dalla Pozza , Marco Fanizza , Vittorio Giovannetti