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We analyze the effect of decoherence on the violation of the Clauser-Horne (CH) inequality for the full electron counting statistics in a mesoscopic multiterminal conductor. Our setup consists of an entangler that emits a flux of entangled…

介观与纳米尺度物理 · 物理学 2007-05-23 Elsa Prada , Fabio Taddei , Rosario Fazio

Bell-Clauser-Horne-Shimony-Holt inequality (in terms of correlation functions) of two qutrits is studied in detail by employing tritter measurements. A uniform formula for the maximum value of this inequality for tritter measurements is…

量子物理 · 物理学 2007-05-23 Li-Bin Fu , Jing-Ling Chen , Xian-Geng Zhao

The counting statistics (CS) for charges passing through a coherent conductor is the most general quantity that characterizes electronic transport. CS not only depends on the transport properties of the conductor but also depends on the…

介观与纳米尺度物理 · 物理学 2009-11-07 Fabio Taddei , Rosario Fazio

We analyze the full counting statistics (FCS) of a single-site quantum dot coupled to multiple metallic electrodes in the normal state and a superconductor for arbitrary transmission. We present an analytical solution of the problem taking…

介观与纳米尺度物理 · 物理学 2011-09-22 H. Soller , A. Komnik

Clauser-Horne-Shimony-Holt inequality for bipartite systems of 4-dimension is studied in detail by employing the unbiased eight-port beam splitters measurements. The uniform formulae for the maximum and minimum values of this inequality for…

量子物理 · 物理学 2007-05-23 Li-Bin Fu , Jing-Ling Chen , Shi-Gang Chen

We show that nonlocal correlation experiments on the two spatially separated modes of a maximally path-entangled number state may be performed and lead to a violation of a Clauser-Horne Bell inequality for any finite photon number N. We…

量子物理 · 物理学 2009-11-13 Christoph F. Wildfeuer , Austin P. Lund , Jonathan P. Dowling

In this brief report we show the new Bell-Clauser-Horne inequality for two entangled three dimensional quantum systems (so called qutrits). This inequality is violated by a maximally entangled state of two qutrits observed via symmetric…

量子物理 · 物理学 2007-05-23 Dagomir Kaszlikowski , L. C. Kwek , Jing-Ling Chen , Marek Zukowski , C. H. Oh

It is well known that the violation of Bell's inequality in the form given by Clauser, Horne, Shimony, and Holt (CHSH) in two-qubit systems requires entanglement, but not vice versa, i.e., there are entangled states which do not violate the…

量子物理 · 物理学 2013-11-20 Karol Bartkiewicz , Bohdan Horst , Karel Lemr , Adam Miranowicz

We propose a geometric multiparty extension of Clauser-Horne (CH) inequality. The standard CH inequality can be shown to be an implication of the fact that statistical separation between two events, $A$ and $B$, defined as $P(A\oplus B)$,…

量子物理 · 物理学 2018-09-13 Arijit Dutta , Tschang-Uh Nahm , Jinhyoung Lee , Marek Żukowski

In this paper we show a Bell inequality of Clauser-Horne type for three three-dimensional systems (qutrits). Violation of the inequality by quantum mechanics is shown for the case in which each of the three observers measures two…

量子物理 · 物理学 2007-05-23 Jing-Ling Chen , Dagomir Kaszlikowski , L. C. Kwek , C. H. Oh

Violation of a Bell-like inequality for a spin-energy entangled neutron state has been confirmed in a polarimetric experiment. The proposed inequality, in Clauser-Horne-Shimony-Holt (CHSH) formalism, relies on correlations between the spin…

量子物理 · 物理学 2009-12-17 S. Sponar , J. Klepp , C. Zeiner , G. Badurek , Y. Hasegawa

We consider the Clauser-Horn (CH) inequality for a qubit-qutrit system. We derive the necessary and sufficient conditions for the violation of the inequality as well as some sufficient conditions. Remarkably, we demonstrate the importance…

量子物理 · 物理学 2026-05-12 Pawel Caban , Pawel Horodecki

We study the statistics of charge transport in a mesoscopic three-terminal device with one superconducting terminal and two normal-metal terminals. We calculate the full distribution of transmitted charges into the two symmetrically biased…

超导电性 · 物理学 2009-11-07 J. Boerlin , W. Belzig , C. Bruder

In this paper we show a Clauser-Horne (CH) inequality for two three-level quantum systems or qutrits, alternative to the CH inequality given by Kaszlikowski et al. [PRA 65, 032118 (2002)]. In contrast to this latter CH inequality, the new…

量子物理 · 物理学 2007-05-23 Jose L. Cereceda

We study a recently proposed Einstein-Podolsky-Rosen steering inequality [arXiv- 1412.8178 (2014)]. Analogous to Clauser-Horne-Shimony-Holt (CHSH) inequality for Bell nonlocality, in the simplest scenario, i.e., 2 parties, 2 measurements…

量子物理 · 物理学 2015-10-02 Arup Roy , Some Sankar Bhattacharya , Amit Mukherjee , Manik Banik

We propose a possible setup of testing the Bell's inequality in mesoscopic conductors. The particular implementation uses two coupled electronic Mach-Zehnder interferometers in which electrons are injected into the conductors in the quantum…

介观与纳米尺度物理 · 物理学 2009-11-13 Kicheon Kang , Kahng Ho Lee

Cirel'son inequality states that the absolute value of the combination of quantum correlations appearing in the Clauser-Horne-Shimony-Holt (CHSH) inequality is bound by $2 \sqrt 2$. It is shown that the correlations of two qubits belonging…

量子物理 · 物理学 2009-07-28 Adan Cabello

We propose a scheme to produce time bin entangled pairs of electrons and holes based on high frequency time-resolved single electron emission from a quantum dot coupled to 1D chiral channels. At first order in the tunneling rate, an…

介观与纳米尺度物理 · 物理学 2015-05-27 Luca Chirolli , Vittorio Giovannetti , Rosario Fazio , Valerio Scarani

We evaluate the maximal Clauser-Horne-Shimony-Holt (CHSH) violation for a generic (typically mixed) qubit-qudit state, obtaining easily computable expressions in arbitrary qudit dimension. This represents the optimal (2-2-2) Bell…

量子物理 · 物理学 2025-10-22 Alexander Bernal , J. Alberto Casas , Jesus M. Moreno

The standard entanglement test using the Clauser-Horne-Shimony-Holt inequality is known to fail in mesoscopic junctions at finite temperatures. Since this is due to the bidirectional particle flow, a similar failure is expected to occur in…

介观与纳米尺度物理 · 物理学 2019-06-17 Hongxin Zhan , Mihajlo Vanevic , Wolfgang Belzig
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