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Contextuality is a phenomenon at the heart of the quantum mechanical departure from classical behaviour, and has been recently identified as a resource in quantum computation. Experimental demonstration of contextuality is thus an important…

Whereas complementarity manifests itself via two incompatible observables, quantum contextuality can only be revealed via the joint measurements among at least three observables. By incorporating unsharp measurements and joint measurements…

量子物理 · 物理学 2013-12-24 Sixia Yu , C. H. Oh

Recent experiments have demonstrated ququart state-independent quantum contextuality and qutrit state-dependent quantum contextuality. So far, the most basic form of quantum contextuality pointed out by Kochen and Specker, and Bell, has…

量子物理 · 物理学 2012-03-06 Adan Cabello , Elias Amselem , Kate Blanchfield , Mohamed Bourennane , Ingemar Bengtsson

Quantum contextuality, as proved by Kochen and Specker, and also by Bell, should manifest itself in any state in any system with more than two distinguishable states and recently has been experimentally verified on various physical systems.…

量子物理 · 物理学 2015-05-30 Sixia Yu , C. H. Oh

We show that, for any system with a number of levels which can be identified with n qubits, there is an inequality for the correlations between three compatible dichotomic measurements which must be satisfied by any noncontextual theory,…

量子物理 · 物理学 2010-09-15 Adan Cabello

Exploring quantum phenomena beyond predictions of any classical model has fundamental importance to understand the boundary of classical and quantum descriptions of nature. As a typical property that a quantum system behaves distinctively…

We experimentally observed state-independent violations of Kochen-Specker inequalities for the simplest indivisible quantum system manifesting quantum contextuality, a three-level (qutrit) system. We performed the experiment with a single…

量子物理 · 物理学 2013-02-27 Xiang Zhang , Mark Um , Junhua Zhang , Shuoming An , Ye Wang , Dong-ling Deng , Chao Shen , Luming Duan , Kihwan Kim

We investigate the violation of non-contextuality by a class of continuous variable states, including variations of entangled coherent states (ECS's) and a two-mode continuous superposition of coherent states. We generalise the…

量子物理 · 物理学 2015-05-27 Gerard McKeown , Matteo G. A. Paris , Mauro Paternostro

Recently, a striking experimental demonstration [G. Kirchmair \emph{et al.}, Nature, \textbf{460}, 494(2009)] of the state-independent quantum mechanical violation of non-contextual realist models has been reported for any two-qubit state…

量子物理 · 物理学 2015-05-14 Alok Kumar Pan , Dipankar Home

We present a study of quantum contextuality of three-dimensional mixed states for the Klyachko-Can-Binicio\u{g}lu-Shumovsky (KCBS) and the Kurzy\'{n}ski-Kaszlikowski (KK) noncontextuality inequalities. For any class of states whose…

量子物理 · 物理学 2015-04-28 Zhen-Peng Xu , Hong-Yi Su , Jing-Ling Chen

We propose a test of quantum contextuality for a single three-level system that uses nine projective measurements. It has a form of an inequality that has to be satisfied by any non-contextual theory and which is violated by any quantum…

量子物理 · 物理学 2013-05-30 Pawel Kurzynski , Dagomir Kaszlikowski

Conventional wisdom asserts that measurement incompatibility is necessary for revealing the non-locality and contextuality. In contrast, a recent work [Phys. Rev. Lett. 130, 230201 (2023)] demonstrates the generalized contextuality without…

量子物理 · 物理学 2025-06-11 Partha Patra , Sumit Mukherjee , A. K. Pan

Quantum mechanics implies that not all physical properties can be simultaneously well defined, such as the momentum and position due to Heisenberg uncertainty principle. Some alternative theories have been explored, notably the…

量子物理 · 物理学 2012-09-18 Xin-Yu Pan , Yan-Chun Chang , Gang-Qin Liu , Heng Fan

We use a single trapped-ion qutrit to demonstrate the violation of an input-state-independent non-contextuality inequality using a sequence of randomly chosen quantum non-demolition projective measurements. We concatenate 54 million…

量子物理 · 物理学 2018-05-09 F. M. Leupold , M. Malinowski , C. Zhang , V. Negnevitsky , J. Alonso , A. Cabello , J. P. Home

The task of state discrimination for a set of mutually orthogonal pure states is trivial if one has access to the corresponding sharp (projection-valued) measurement, but what if we are restricted to an unsharp measurement? Given that any…

量子物理 · 物理学 2021-03-03 Tom Bullock , Teiko Heinosaari

A characterization of noncontextual models which fall within the ambit of Fine's theorem is provided. In particular, the equivalence between the existence of three notions is made explicit: a joint probability distribution over the outcomes…

量子物理 · 物理学 2015-02-13 Ravi Kunjwal

The problem of identifying measurement scenarios capable of revealing state-independent contextuality in a given Hilbert space dimension is considered. We begin by showing that for any given dimension $d$ and any measurement scenario…

量子物理 · 物理学 2014-02-05 Ravishankar Ramanathan , Pawel Horodecki

We present an experimental state-independent violation of an inequality for noncontextual theories on single particles. We show that 20 different single-photon states violate an inequality which involves correlations between results of…

量子物理 · 物理学 2009-10-19 Elias Amselem , Magnus Radmark , Mohamed Bourennane , Adan Cabello

The contextuality of quantum mechanics, i.e. the measurement outcome dependence upon previously made measurements, can be shown by the violation of inequalities based on measurements of well chosen observables. An important property of such…

量子物理 · 物理学 2017-03-16 A. Laversanne-Finot , A. Ketterer , M. R. Barros , S. P. Walborn , T. Coudreau , A. Keller , P. Milman

Quantum steering can be detected via the violation of steering inequalities, which provide sufficient conditions for the steerability of quantum states. Here we discuss the converse problem, namely ensuring that a state is unsteerable, and…

量子物理 · 物理学 2016-03-21 Joseph Bowles , Flavien Hirsch , Marco Túlio Quintino , Nicolas Brunner
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