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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…

The quantum steering ellipsoid can be used to visualise two-qubit states, and thus provides a generalisation of the Bloch picture for the single qubit. Recently, a monogamy relation for the volumes of steering ellipsoids has been derived…

量子物理 · 物理学 2016-10-12 Shuming Cheng , Antony Milne , Michael J. W. Hall , Howard M. Wiseman

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

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…

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 (QSE) provides a geometric representation, within the Bloch picture, of all possible states to which one qubit can be steered through measurements performed on another correlated qubit. However, in most…

量子物理 · 物理学 2026-02-12 Wen-Jie Zhang , Jun-Hong An

The question of which two-qubit states are steerable (i.e. permit a demonstration of EPR-steering) remains open. Here, a strong necessary condition is obtained for the steerability of two-qubit states having maximally-mixed reduced states,…

We propose a measure of quantum steerability, namely a convex steering monotone, based on the trace distance between a given assemblage and its corresponding closest assemblage admitting a local-hidden-state (LHS) model. We provide methods…

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 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

Quantum steering in a system consisting of a qubit coupled to a single-mode field is explored when classical-like measurements implemented by heterodyne detection schemes that collapse the state of the field on to a coherent state is…

量子物理 · 物理学 2019-08-30 K. P. Athulya , Anil Shaji

Quantum steering is a perplexing feature at the heart of quantum mechanics that provides profound implications in understanding the nature of physical reality. On the other hand, the effect of relativistic features on quantum systems is…

量子物理 · 物理学 2021-10-29 Yusef Maleki , Bahram Ahansaz , Kangle Li , Alireza Maleki

Quantum steering has been exploited as an important resource in modern quantum information processing. Owing to its directional nature, some quantum states that are asymmetric under the exchange of parties have been found to manifest…

量子物理 · 物理学 2022-09-12 Qiang Zeng

We extend Bloch Sphere formalism to pure two qubit systems. Combining insights from Geometric Algebra and analysis of entanglement in different conjugate bases we identify Two Bloch Sphere geometry that is suitable for representing…

量子物理 · 物理学 2024-03-19 Stanislav Filatov , Marcis Auzinsh

Physical constraints such as positivity endow the set of quantum states with a rich geometry if the system dimension is greater than two. To shed some light on the complicated structure of the set of quantum states, we consider a…

量子物理 · 物理学 2007-05-23 S. G. Schirmer , T. Zhang , J. V. Leahy

Any two-qubit state can be represented, geometrically, as an ellipsoid with a certain size and a center located within the Bloch sphere of one of the qubits. Points of this ellipsoid represent the post-measurement states when the other…

量子物理 · 物理学 2018-10-18 Vahid Nassajpour , Seyed Javad Akhtarshenas

Quantum steering is a recently-defined form of quantum correlation which lies at the heart of quantum mechanics. In difference from other types of quantum correlations, quantum steering is inherently asymmetric, which implies that it could…

量子物理 · 物理学 2022-02-25 Qiang Zeng , Jiangwei Shang , H. Chau Nguyen , Xiangdong Zhang

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

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

Einstein-Podolsky-Rosen steering describes a quantum correlation in addition to entanglement and Bell nonlocality. However, conceptually different from entanglement and Bell nonlocality, quantum steering has an asymmetric definition.…

量子物理 · 物理学 2021-10-06 Kun Zhang , Jin Wang
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