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Any two-qubit state can be faithfully represented by a steering ellipsoid inside the Bloch sphere, but not every ellipsoid inside the Bloch sphere corresponds to a two-qubit state. We give necessary and sufficient conditions for when the…

量子物理 · 物理学 2015-03-23 Antony Milne , Sania Jevtic , David Jennings , Howard Wiseman , Terry Rudolph

The set of all qubit states that can be steered to by measurements on a correlated qubit is predicted to form an ellipsoid---called the quantum steering ellipsoid---in the Bloch ball. This ellipsoid provides a simple visual characterisation…

Quantum steering ellipsoid formalism provides a faithful representation of all two-qubit states and helps in obtaining correlation properties of the state through the steering ellipsoid. The steering ellipsoids corresponding to the…

量子物理 · 物理学 2023-04-28 B G Divyamani , I Reena , Prasanta K Panigrahi , A R Usha Devi , Sudha

The quantum steering ellipsoid inscribed inside the Bloch sphere offers an elegant geometric visualization of two-qubit states shared between Alice and Bob. The set of Bloch vectors of Bob's qubit, steered by Alice via all possible local…

量子物理 · 物理学 2023-04-28 K. Anjali , I. Reena , Sudha , B. G. Divyamani , H. S. Karthik , K. S. Mallesh , A. R. Usha Devi

We investigate the action of local and global noise on monogamy of quantum correlations, when monogamy scores are considered as observables, and three-qubit systems are subjected to global noise and various local noisy channels, namely,…

量子物理 · 物理学 2017-01-10 Asutosh Kumar , Sudipto Singha Roy , Amit Kumar Pal , R. Prabhu , Aditi Sen De , Ujjwal Sen

The quantum steering ellipsoid of a two-qubit state is the set of Bloch vectors that Bob can collapse Alice's qubit to, considering all possible measurements on his qubit. We provide an elementary construction of the ellipsoid for arbitrary…

量子物理 · 物理学 2014-07-10 Sania Jevtic , Matthew F. Pusey , David Jennings , Terry Rudolph

The monogamy of quantum correlations is a fundamental principle in quantum information processing, limiting how quantum correlations can be shared among multiple subsystems. Here we propose a theoretical scheme to investigate the monogamy…

量子物理 · 物理学 2025-10-14 Hamza Harraf , Mohamed Amazioug , Amjad Sohail , Rachid Ahl Laamara

Quantum steering ellipsoid visualizes the set of all qubit states that can be steered by measuring on another correlated qubit in the Bloch picture. Together with local reduced states, it provides a faithful geometric characterization of…

We derive laws for the distribution of quantum steering among different parties in multipartite Gaussian states under Gaussian measurements. We prove that a monogamy relation akin to the generalized Coffman-Kundu-Wootters inequality holds…

量子物理 · 物理学 2017-01-18 Yu Xiang , Ioannis Kogias , Gerardo Adesso , Qiongyi He

Employing the volume of quantum steering ellipsoids (QSEs) as a measure on the fifteen-dimensional convex set of two-qubit states, we estimate the ratio of the integral of the measure over the separable states to its integral over all…

量子物理 · 物理学 2020-12-17 Paul B. Slater

We investigate possible generalizations of the Coffman-Kundu-Wootters monogamy inequality to four qubits, accounting for multipartite entanglement in addition to the bipartite terms. We show that the most natural extension of the inequality…

量子物理 · 物理学 2016-06-02 Bartosz Regula , Andreas Osterloh , Gerardo Adesso

Monogamy inequalities for the way bipartite EPR steering can be distributed among N systems are derived. One set of inequalities is based on witnesses with two measurement settings, and may be used to demonstrate correlation of outcomes…

量子物理 · 物理学 2014-02-21 M. D. Reid

Recently a new class of monogamy relations (actually, exponentially many) was provided by Christopher Eltschka et al. in terms of squared concurrence. Their approach restricted to the distribution of bipartite entanglement shared between…

量子物理 · 物理学 2025-08-19 Priyabrata Char , Prabir Kumar Dey , Amit Kundu , Indrani Chattopadhyay , Debasis Sarkar

It is a topic of fundamental and practical importance how a quantum correlated state can be reliably distributed through a noisy channel for quantum information processing. The concept of quantum steering recently defined in a rigorous…

量子物理 · 物理学 2015-06-23 Se-Wan Ji , M. S. Kim , Hyunchul Nha

We study the behavior of monogamy deficit and monogamy asymmetry for Einstein-Podolsky-Rosen steering of Gaussian states under the influence of the Hawking effect. We demonstrate that the monogamy of quantum steering shows an extreme…

量子物理 · 物理学 2018-08-29 Jieci Wang , Jiliang Jing , Heng Fan

In contrast with entanglement, as measured by concurrence, in general, quantum discord does not possess the property of monogamy, that is, there is no tradeoff between the quantum discord shared by a pair of subsystems and the quantum…

量子物理 · 物理学 2011-11-14 Gian Luca Giorgi

We study the dynamics of quantum dissension for three qubit states in various dissipative channels such as amplitude damping, dephasing and depolarizing. Our study is solely based on Markovian environments where quantum channels are without…

量子物理 · 物理学 2014-12-01 Pratik K. Sarangi , Indranil Chakrabarty

Quantum steering is considered as one of the most well-known nonlocal phenomena in quantum mechanics. Unlike entanglement and Bell non-locality, the asymmetry of quantum steering makes it vital for one-sided device-independent quantum…

量子物理 · 物理学 2024-07-11 Li-Juan Li , Xiao-Gang Fan , Xue-Ke Song , Liu Ye , Dong Wang

By use of a generalized Bloch vector construction, we study the decoherence of a system composed of two interacting qubits in a general noisy environment. In particular, we investigate the effects of correlations in the noise acting on…

介观与纳米尺度物理 · 物理学 2012-07-03 Håkon Brox , Joakim Bergli , Yuri Galperin

We consider the Cavalcanti-Foster-Fuwa-Wiseman inequality~\cite{achsh} which is a necessary and sufficient steerability condition for two-qubit states with two measurement settings on each side. We derive the criterion which an arbitrary…

量子物理 · 物理学 2017-11-27 Shiladitya Mal , Debarshi Das , Souradeep Sasmal , A. S. Majumdar
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