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We study the distinguishability of bipartite quantum states by Positive Operator-Valued Measures with positive partial transpose (PPT POVMs). The contributions of this paper include: (1). We give a negative answer to an open problem of [M.…

量子物理 · 物理学 2014-04-02 Nengkun Yu , Runyao Duan , Mingsheng Ying

Suppose we want to distinguish two quantum pure states. We consider the case in which no classical knowledge on the two states is given and only a pair of samples of the two states is available. This problem is called quantum pure-state…

量子物理 · 物理学 2008-01-07 Y. Ishida , T. Hashimoto , M. Horibe , A. Hayashi

In quantum operations, probabilities characterise both the degree of the success of a state transformation and, as density operator eigenvalues, the degree of mixedness of the final state. We give a unified treatment of pure-to-pure state…

量子物理 · 物理学 2009-11-07 Anthony Chefles

A set of orthogonal multipartite quantum states is said to be distinguishability-based genuinely nonlocal (also genuinely nonlocal, for abbreviation) if the states are locally indistinguishable across any bipartition of the subsystems. This…

量子物理 · 物理学 2023-11-22 Zong-Xing Xiong , Mao-Sheng Li , Zhu-Jun Zheng , Lvzhou Li

We investigate the possibility of distinguishing a set of mutually orthogonal multipartite quantum states by local operations and classical communication (LOCC). We connect this problem with generators of SU(N) and present a new condition…

量子物理 · 物理学 2009-11-13 Ming-Yong Ye , Wei Jiang , Ping-Xing Chen , Yong-Sheng Zhang , Zheng-Wei Zhou , Guang-Can Guo

We show that local Lorentz covariance arises canonically as the group of transformations between local thermal states in the framework of Local Quantum Physics, given the following three postulates: (i) Local observable algebras are…

广义相对论与量子宇宙学 · 物理学 2017-12-07 Matti Raasakka

We consider one copy of a quantum system prepared in one of two non-orthogonal pure product states of multipartite distributed among separated parties. We show that there exist protocols which obtain optimal probability in the sense of…

量子物理 · 物理学 2009-11-07 Yi-Xin Chen , Dong Yang

We present a deterministic framework for preparing an arbitrary three-qubit pure state. To leverage entanglement structure in the state-preparation task, we classify three-qubit pure states into five types with respect to a $1|2$…

量子物理 · 物理学 2026-03-03 Yonghae Lee , Taewan Kim

Multiqubit positive-partial-transpose (PPT) entangled states play an important role in quantum information theory. We characterize such states of minimum rank in three-qubit system, namely rank four. Depending on whether the Lorentz…

量子物理 · 物理学 2026-05-20 Yonggang Cheng , Lin Chen

Probabilistic quantum state transformations can be characterized by the degree of state separation they provide. This, in turn, sets limits on the success rate of these transformations. We consider optimum state separation of two known pure…

量子物理 · 物理学 2016-01-20 Emilio Bagan , Vadim Yerokhin , Andi Shehu , Edgar Feldman , Janos A. Bergou

The transformations of $W$-type entangled states by using local operations assisted with classical communication are investigated. For this purpose, a parametrization of the $W$-type states which remains invariant under local unitary…

量子物理 · 物理学 2010-09-17 S. Kıntaş , S. Turgut

In the changepoint problem, we determine when the distribution observed has changed to another one. We expand this problem to the quantum case where copies of an unknown pure state are being distributed. We study the fundamental case, which…

量子物理 · 物理学 2011-06-24 Daiki Akimoto , Masahito Hayashi

The characterization of continuous-variable quantum states is crucial for applications in quantum communication, sensing, simulation and computing. However, a full characterization of multimode quantum states requires a number of…

量子物理 · 物理学 2024-10-08 Ya-Dong Wu , Yan Zhu , Giulio Chiribella , Nana Liu

The study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. The main emphasis of these investigations is on the deterministic, or probabilistic…

量子物理 · 物理学 2018-08-09 David Sauerwein , Katharina Schwaiger , Barbara Kraus

The reconstruction of quantum states from experimental measurements, often achieved using quantum state tomography (QST), is crucial for the verification and benchmarking of quantum devices. However, performing QST for a generic…

量子物理 · 物理学 2024-10-07 Zhen Qin , Casey Jameson , Zhexuan Gong , Michael B. Wakin , Zhihui Zhu

We describe a technique for self consistently characterizing both the quantum state of a single qubit system, and the positive-operator-valued measure (POVM) that describes measurements on the system. The method works with only ten…

量子物理 · 物理学 2021-07-28 A. Stephens , J. M. Cutshall , T. McPhee , M. Beck

Sources of entangled electromagnetic radiation are a cornerstone in quantum information processing and offer unique opportunities for the study of quantum many-body physics in a controlled experimental setting. While multi-mode entangled…

In this paper, we propose concurrence classes for an arbitrary multi-qubit state based on orthogonal complement of a positive operator valued measure, or POVM in short, on quantum phase. In particular, we construct concurrence for an…

量子物理 · 物理学 2009-11-11 Hoshang Heydari

In this paper, we present a general numerical framework for both deterministic and probabilistic quantum state transformations, under locality constraints. For a given arbitrary bipartite initial state and a desired bipartite target state,…

量子物理 · 物理学 2025-12-25 Sasan Sarbishegi , Maryam Sadat Mirkamali

We present a general algorithm to achieve local operators which can produce the GHZ state for an arbitrary given three-qubit state. Thus the distillation process of the state can be realized optimally. The algorithm is shown to be…

量子物理 · 物理学 2007-05-23 Li-Xiang Cen , Shun-Jin Wang