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Cluster states are multi-particle entangled states with special entanglement properties particularly suitable for quantum computation. It has been shown that cluster states can exhibit Greenberger-Horne-Zeilinger (GHZ)-type non-locality…

Quantum Physics · Physics 2009-11-13 X. -Q. Zhou , C. -Y. Lu , W. -B. Gao , J. Zhang , Z. -B. Chen , T. Yang , J. -W. Pan

We study a nonlinear interferometer consisting of two consecutive parametric amplifiers, where all three optical fields (pump, signal and idler) are treated quantum mechanically, allowing for pump depletion and other quantum phenomena. The…

Quantum Physics · Physics 2018-12-27 Jefferson Flórez , Enno Giese , Davor Curic , Lambert Giner , Robert W. Boyd , Jeff S. Lundeen

A new simple entanglement measurement method is proposed for the bright EPR beams generated from a non-degenerate optical parametric amplifier operating at deamplification. Due to the output signal and idler modes are frequency degenerate…

Quantum Physics · Physics 2015-05-28 Dong Wang , Xianshan Huang

Rotated quadratures carry the phase-dependent information of the electromagnetic field, so they are somehow conjugate to the photon number. We analyze this noncanonical pair, finding an exact uncertatinty relation, as well as a couple of…

Quantum Physics · Physics 2015-05-20 Z. Hradil , J. Rehacek , P. de la Hoz , G. Leuchs , L. L. Sanchez-Soto

Generating large multiphoton entangled states is of main interest due to enabling universal photonic quantum computing and all-optical quantum repeater nodes. These applications exploit measurement-based quantum computation using cluster…

Quantum Physics · Physics 2025-07-22 H. Cao , L. M. Hansen , F. Giorgino , L. Carosini , P. Zahalka , F. Zilk , J. C. Loredo , P. Walther

The Greenberger-Horne-Zeilinger (GHZ) effect provides an example of quantum correlations that cannot be explained by classical local hidden variables. This paper reports on the experimental realization of GHZ correlations using nuclear…

Quantum Physics · Physics 2009-10-31 Richard J. Nelson , David G. Cory , Seth Lloyd

We present a generalized Greenberger-Horne-Zeilinger (GHZ) theorem, which involves more than two local measurement settings for some parties, and cannot be reduced to one with less settings. Our results hold for an odd number of parties. We…

Linear optical quantum computing is beset by the lack of deterministic entangling operations besides photon loss. Motivated by advancements at the experimental front in deterministic generation of various kinds of multiphoton entangled…

Quantum Physics · Physics 2022-08-02 Srikrishna Omkar , Seok-Hyung Lee , Yong Siah Teo , Seung-Woo Lee , Hyunseok Jeong

In this paper we will realize the polynomial Heisenberg algebras through the harmonic oscillator. We are going to construct then the Barut-Girardello coherent states, which coincide with the so-called multiphoton coherent states, and we…

Mathematical Physics · Physics 2019-02-04 Miguel Castillo-Celeita , Erik Díaz-Bautista , David J. Fernández C

We propose a Bell measurement scheme by employing a logical qubit in Greenberger-Horne-Zeilinger (GHZ) entanglement with an arbitrary number of photons. Remarkably, the success probability of the Bell measurement as well as teleportation of…

Quantum Physics · Physics 2015-03-20 Seung-Woo Lee , Kimin Park , Timothy C. Ralph , Hyunseok Jeong

Recently, we have shown theoretically [1] as well as experimentally [2] how the phase of an electromagnetic field can be determined by measuring the population of either of the two states of a two-level atomic system excited by this field,…

Quantum Physics · Physics 2007-05-23 M. S. Shahriar , P. Pradhan , V. Gopal , G. Pati , G. C. Cardoso

Conventionally, one interprets the correlations observed in Einstein-Podolsky-Rosen experiments by Bell's inequalities and quantum nonlocality. We show, in this paper, that identical correlations arise, if the phase relations of…

Quantum Physics · Physics 2007-05-23 W. A. Hofer

The accuracy of quantum measurements can be effectively improved by using both photon-added non-Gaussian operations and Kerr nonlinear phase shifters. Here, we employ coherent state mixed photon-added squeezed vacuum state as input into a…

Quantum Physics · Physics 2025-05-23 Zekun Zhao , Qingqian Kang , Shoukang Chang , Teng Zhao , Cunjin Liu , Xin Su , Liyun Hu

Interactions in Many-body systems are typically short-range and few-body. We investigate how such local interactions build up long-range and intrinsically multipartite entanglement by studying the $n$-partite Greenberger-Horne-Zeilinger…

Quantum Physics · Physics 2025-11-26 Guanglei Xu , Yu-Xiang Zhang

We investigate in a general form entanglement of biphoton qutrits and ququarts, i.e. states formed in the processes of collinear and, correspondingly, degenerate and non-degenerate Spontaneous Parametric Down-Conversion.…

Quantum Physics · Physics 2010-09-28 Mikhail Fedorov , Peter Volkov , Julia Mikhailova , Stanislav Straupe , Sergei Kulik

Using simple quantum analysis we describe the correlations of Greenberger-Horne-Zeilinger (GHZ) states by the use of Hilbert-Schmidt (HS) representation. Our conclusion is that while these states disprove local-realism they do not prove any…

Quantum Physics · Physics 2009-11-10 Y. Ben-Aryeh

We show that correlations inconsistent with any locally causal description can be a generic feature of measurements on entangled quantum states. Specifically, spatially-separated parties who perform local measurements on a…

Quantum Physics · Physics 2016-09-08 Yeong-Cherng Liang , Nicholas Harrigan , Stephen D. Bartlett , Terry Rudolph

We have performed the first experimental tomographic reconstruction of a three-photon polarization state. Quantum state tomography is a powerful tool for fully describing the density matrix of a quantum system. We measured 64 three-photon…

Quantum Physics · Physics 2009-11-10 Kevin J. Resch , Philip Walther , Anton Zeilinger

We consider an entangled two-particle state that is produced from two independent down-conversion sources by the process of "entanglement-swapping", so that the particles have never met. We prove a Greenberger-Horne-Zeilinger (GHZ) type…

Quantum Physics · Physics 2008-08-01 Daniel M. Greenberger , Michael Horne , Anton Zeilinger

We show that the continuous-variable analogues to the multipartite entangled Greenberger-Horne-Zeilinger states of qubits violate Bell-type inequalities imposed by local realistic theories. Our results suggest that the degree of nonlocality…

Quantum Physics · Physics 2009-11-06 P. van Loock , Samuel L. Braunstein