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We investigate the Peres-Horodecki positive partial transpose (PPT) criterion in the context of conserved quantities and derive a condition of in- separability for a composite bipartite system depending only on the dimen- sions of its…

量子物理 · 物理学 2016-12-21 Ashutosh K. Goswami , Prasanta K. Panigrahi

This short note describes a method to tackle the (bipartite) quantum separability problem. The method can be used for solving the separability problem in an experimental setting as well as in the purely mathematical setting. The idea is to…

量子物理 · 物理学 2007-05-23 L. M. Ioannou , B. C. Travaglione

The geometric measure of entanglement is an approach to quantifying entanglement that is based on the Hilbert-space distance (or, equivalently, angle) between pure states and their best unentangled approximants. An entanglement witness is…

量子物理 · 物理学 2007-05-23 Tzu-Chieh Wei , Paul M. Goldbart

We investigate the issue of finding common entanglement witness for certain class of states and extend this study to the case of Schmidt number witnesses. We also introduce the notion of common decomposable and non-decomposable witness…

量子物理 · 物理学 2012-12-27 Nirman Ganguly , Satyabrata Adhikari , A. S. Majumdar

Two approaches can be utilized to handle the separability problem, finding out whether a given bipartite qudit state is separable or not: a direct procedure on the state space or the effective tool of entanglement witnesses (EWs). This…

量子物理 · 物理学 2025-08-05 Dariusz Chruściński , Anindita Bera , Joonwoo Bae , Beatrix C. Hiesmayr

We consider bipartite quantum state discrimination using positive-partial-transpose measurements and show that minimum-error discrimination by positive-partial-transpose measurements is closely related to entanglement witness. By using the…

量子物理 · 物理学 2023-05-18 Donghoon Ha , Jeong San Kim

We propose a hybrid approach to the experimental assessment of the genuine quantum features of a general system consisting of microscopic and macroscopic parts. We infer entanglement by combining dichotomic measurements on a bidimensional…

We define an entanglement witness in a composite quantum system as an observable having nonnegative expectation value in every separable state. Then a state is entangled if and only if it has a negative expectation value of some…

量子物理 · 物理学 2015-11-09 Leif Ove Hansen , Jan Myrheim

This paper presents an efficient method for detecting entanglement in high-dimensional two-qudit states by mapping the Hilbert space onto the space of two qubits. This transformation enables the use of well-established two-qubit…

量子物理 · 物理学 2026-02-25 Josef Kadlec , Artur Barasiński , Karel Lemr

We give an introduction to Gaussian states and operations. A discussion of the entanglement properties of bipartite Gaussian states in terms of its covariance matrix follows. It is explained how entanglement can be witnessed using feasible…

量子物理 · 物理学 2007-05-23 Janet Anders

Entanglement is a key resource to demonstrate quantum advantage over classical strategies. Entanglement in quantum states is one of the most well-explored areas in quantum physics. However, a rigorous approach to understanding and detecting…

量子物理 · 物理学 2025-02-12 Shubhayan Sarkar

We transform the way of finding entanglement criterion into two steps: to obtain necessary criterion of separability by maximizing an algebra function for a set of characteristic variables of the witness operator and the given number of…

量子物理 · 物理学 2016-05-30 Xiao-yu Chen , Zhu-an Xu

Linear and nonlinear entanglement witnesses for a given bipartite quantum systems are constructed. Using single particle feasible region, a way of constructing effective entanglement witnesses for bipartite systems is provided by exact…

量子物理 · 物理学 2009-10-29 M. A. Jafarizadeh , A. Heshmati , K. Aghayara

In this work, new types of EWs are introduced. They are constructed by using real skew-symmetric operators defined on a single party subsystem of a bipartite dxd system and a maximal entangled state in that system. A canonical form for…

量子物理 · 物理学 2015-05-19 M. A. Jafarizadeh , N. Behzadi

We present several measurement schemes for accessing separability criteria for continuous-variable bipartite quantum systems. Starting from moments of the bosonic mode operators, criteria suitable to witness entanglement are expressed in…

量子物理 · 物理学 2023-08-28 Célia Griffet , Tobias Haas , Nicolas J. Cerf

Multipartite entanglement is one of the crucial resources in quantum information processing tasks such as quantum metrology, quantum computing and quantum communications. It is essential to verify not only the multipartite entanglement, but…

量子物理 · 物理学 2024-06-12 Kai Wu , Zhihua Chen , Zhen-Peng Xu , Zhihao Ma , Shao-Ming Fei

Entanglement witnesses (EWs) are a versatile tool in the verification of entangled states. The framework of mirrored EW doubles the power of a given EW by introducing its twin -- a mirrored EW -- whereby two EWs related by mirroring can…

量子物理 · 物理学 2023-07-11 Anindita Bera , Joonwoo Bae , Beatrix C. Hiesmayr , Dariusz Chruściński

We show that each entanglement witness detecting given bipartite entangled state provides an estimation of its concurrence. We illustrate our result with several well known examples of entanglement witnesses and compare the corresponding…

量子物理 · 物理学 2013-05-29 Jacek Jurkowski , Dariusz Chruscinski

We study the optimal entanglement witness with respect to multiqubits W-states. We show such entanglement witnesses can be used to distinguish genuine entangled states, different biseparable states and fully separable states.

量子物理 · 物理学 2015-05-13 Ming-Jing Zhao , Zhi-Xi Wang , Shao-Ming Fei

We study the entanglement detection by using mutually unbiased measurements and provide a quantum separability criterion that can be experimentally implemented for arbitrary $d$-dimensional bipartite systems. We show that this criterion is…

量子物理 · 物理学 2015-06-22 Bin Chen , Teng Ma , Shao-Ming Fei