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Self-assisted complete maximally hyperentangled state analysis via the cross-Kerr nonlinearity

Xi-Han Li, Shohini Ghose
2016 Physical Review A  
The first protocol is a hyperentangled Bell state analysis scheme for two photons and the second is a hyperentangled Greenberger-Horne- Zeilinger (GHZ) state analysis scheme for three photons.  ...  We also generalize the schemes to unambiguously analyze the N-photon hyperentangled GHZ state.  ...  COMPLETE HYPERENTANGLED GREENBERGER-HORNE-ZEILINGER STATE ANALYSIS In this section, we introduce the complete HGSA scheme by describing the three-photon hyperentangled GHZ state as an example first.  ... 
doi:10.1103/physreva.93.022302 fatcat:3grmimvb75e3zptlg5dlr5ard4

Complete analysis and generation of hyperentangled Greenberger-Horne-Zeilinger state for photons using quantum-dot spins in optical microcavities [article]

Tie-Jun Wang, Si-Yu Song, Gui Lu Long
2012 arXiv   pre-print
The three-photon hyperentangled-GHZ-state-analysis scheme can also be used to generate 3-photon hyperentangled GHZ states.  ...  We propose a scheme for the complete differentiation of 64 three-photon hyperentangled GHZ states in both polarization and spatial-mode degrees of freedoms using the quantum-dot cavity system.  ...  In this paper, we take the advantages of these two spin-cavity units and propose a scheme that can be used as a complete three-qubit hyperentangled-GHZ-state analyzer (HGSA).  ... 
arXiv:1211.0082v2 fatcat:qwth4ue3snfq7ju6adakffxkj4

Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement

Xi-Han Li, Shohini Ghose
2016 Optics Express  
This is the first complete hyperentangled Bell state analysis scheme for polarization and time-bin hyperentangled states, and it can provide new avenues for high-capacity, long-distance quantum communication  ...  We present a complete hyperentangled Bell state analysis protocol for two-photon four-qubit states which are simultaneously entangled in the polarization and time-bin degrees of freedom.  ...  Later, an efficient hyperentangled Greenberger-Horne-Zeilinger (GHZ) state analysis scheme was presented [45] .  ... 
doi:10.1364/oe.24.018388 pmid:27505802 fatcat:ilbo6mllljeilohx7mldsq7eri

Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators

Qian Liu, Mei Zhang
2015 Physical Review A. Atomic, Molecular, and Optical Physics  
These schemes can be generalized to generate and analyze hyperentangled Greenberger-Horne-Zeilinger states of multi-photon systems as well.  ...  We present two efficient schemes for the deterministic generation and the complete nondestructive analysis of hyperentangled Bell states in both the polarization and spatial-mode degrees of freedom (DOFs  ...  In this paper, we present two efficient schemes to generate deterministically hyperentangled states, i.e., hyperentangled Bell states and hyperentangled Greenberger-Horne-Zeilinger (GHZ) states, in which  ... 
doi:10.1103/physreva.91.062321 fatcat:smuzhniwxzeqrg3npksuzr3n5e

Complete nondestructive analysis of two-photon six-qubit hyperentangled Bell states assisted by cross-Kerr nonlinearity

Qian Liu, Guan-Yu Wang, Qing Ai, Mei Zhang, Fu-Guo Deng
2016 Scientific Reports  
We use cross-Kerr nonlinearity to construct quantum nondemolition detectors which can be used to make a parity-check measurement and analyze Bell states of two-photon systems in different DOFs.  ...  As it is impossible to deterministically distinguish the four Bell states in polarization with only linear optical elements, hyperentanglement can also used to assist the complete Bell-state analysis (  ...  Xia et al. 40 proposed an efficient scheme for hyperentangled Greenberger-Horne-Zeilinger-state analysis with cross-Kerr nonlinearity.  ... 
doi:10.1038/srep22016 pmid:26912172 pmcid:PMC4766504 fatcat:67al5y6j2ve2fi2qrhhqnke5gq

Polarization-momentum hyperentangled states: Realization and characterization

M. Barbieri, C. Cinelli, P. Mataloni, F. De Martini
2005 Physical Review A. Atomic, Molecular, and Optical Physics  
These states have been completely characterized and their nonlocal behavior has been verified by an "all versus nothing" test of local realism, which represents a generalization of the Greenberger-Horne-Zeilinger  ...  We present an experimental method to engineer polarization-momentum hyperentangled two-photon states, using linear optics and a single type-I nonlinear crystal.  ...  We can exploit the hyperentangled state as a whole ͑4 ϫ 4͒ system for a nonlocality test which represents a generalization of the Greenberger-Horne-Zeilinger ͑GHZ͒ argument to the case of two observers  ... 
doi:10.1103/physreva.72.052110 fatcat:zk2gqfna2rdbbh6ud4qutdcyxa

Multi-photon quantum interferometry [chapter]

Gregg Jaeger, Alexander V. Sergienko
2001 Progress in optics  
locality, reality and completeness assumptions of EPR using entangled three-particle states (Greenberger, Horne and Zeilinger [1989] , Greenberger, Horne, Shimony and Zeilinger [1990] , Bernstein,  ...  Greenberger, Horne and Zeilinger [1993] , Klyshko [1993] , Aravind [1997] ).  ... 
doi:10.1016/s0079-6638(01)80019-6 fatcat:4vo6zwiy6vc2nnqcev7rjaf5ji

Complete nondestructive analysis of two-photon six-qubit hyperentangled Bell states assisted by cross-Kerr nonlinearity [article]

Qian Liu, Guan-Yu Wang, Qing Ai, Mei Zhang, Fu-Guo Deng
2016 arXiv   pre-print
We use cross-Kerr nonlinearity to construct quantum nondemolition detectors which can be used to make a parity-check measurement and analyze Bell states of two-photon systems in different DOFs.  ...  Our complete scheme for two-photon six-qubit hyperentangled Bell-state analysis may be useful for the practical applications in quantum information, especially in long-distance high-capacity quantum communication  ...  [40] proposed an efficient scheme for hyperentangled Greenberger-Horne-Zeilinger-state analysis with cross-Kerr nonlinearity.  ... 
arXiv:1511.00094v2 fatcat:mfvp4smwdrf7tbldflra74ciau

Feasible logic Bell-state analysis with linear optics [article]

Lan Zhou, Yu-Bo Sheng
2015 arXiv   pre-print
We describe a feasible logic Bell-state analysis protocol by employing the logic entanglement to be the robust concatenated Greenberger-Horne-Zeilinger (C-GHZ) state.  ...  This protocol only uses polarization beam splitters and half-wave plates, which are available in current experimental technology. We can conveniently identify two of the logic Bell states.  ...  In 2011, Fröwis and Dür described a new kind of logic-qubit entanglement, which shows similar features as the Greenberger-Horne-Zeilinger (GHZ) state [23] .  ... 
arXiv:1511.05251v1 fatcat:sni5puqdzvclpprng7w43tb3lq

Feasible logic Bell-state analysis with linear optics

Lan Zhou, Yu-Bo Sheng
2016 Scientific Reports  
We describe a feasible logic Bell-state analysis protocol by employing the logic entanglement to be the robust concatenated Greenberger-Horne-Zeilinger (C-GHZ) state.  ...  In 2011, Fröwis and Dür described a new kind of logic-qubit entanglement, which shows similar features as the Greenberger-Horne-Zeilinger (GHZ) state 36 .  ...  By exploiting the ancillary states or hyperentanglement, four polarized Bell states can be improved or be completely distinguished 31, 47, 48 .  ... 
doi:10.1038/srep20901 pmid:26877208 pmcid:PMC4753447 fatcat:6gi46mlnizfkjhztdcdgbqdcni

Hyperentanglement of two photons in three degrees of freedom

Giuseppe Vallone, Raino Ceccarelli, Francesco De Martini, Paolo Mataloni
2009 Physical Review A. Atomic, Molecular, and Optical Physics  
The state has been characterized by a chained interferometric apparatus and its complete entangled nature has been tested by a novel witness criterium specifically introduced for hyperentangled states.  ...  A 6-qubit hyperentangled state has been realized by entangling two photons in three degrees of freedom.  ...  More recently, Greenberger-Horne-Zeilinger states of up to ten qubits were engineered by exploiting polarization and momentum of five photons ͓15͔.  ... 
doi:10.1103/physreva.79.030301 fatcat:fwegjggbengtpakts6t4mbk7nq

All-Versus-Nothing Nonlocality Test of Quantum Mechanics by Two-Photon Hyperentanglement

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, F. De Martini
2005 Physical Review Letters  
The two photon hyperentangled states are expected to find at an increasing rate a widespread application in state engineering and quantum information. PACS: 03.65.Ud, 03.67.Mn, 42.65. Lm  ...  We report the experimental realization and the characterization of polarization and momentum hyperentangled two photon states, generated by a new parametric source of correlated photon pairs.  ...  This test is offered by the ''all-versus-nothing'' nonlocality proof [7] and is based on the Greenberg-Horne-Zeilinger (GHZ) theorem [8] .  ... 
doi:10.1103/physrevlett.95.240405 pmid:16384358 fatcat:rsw32pwpzrelrdwohmfgxh5mhe

Resource-efficient analyzer of Bell and Greenberger-Horne-Zeilinger states of multiphoton systems [article]

Tao Li, Adam Miranowicz, Keyu Xia, Franco Nori
2018 arXiv   pre-print
The analyzer works in a passive way and can completely distinguish 2^n Greenberger-Horne-Zeilinger (GHZ) states of n photons without using any active operation or fast switching.  ...  We propose a resource-efficient error-rejecting entangled-state analyzer for polarization-encoded multiphoton systems.  ...  The Greenberger-Horne-Zeilinger (GHZ) states are among the most important kinds of multipartite entanglement [27] [28] [29] . The generation and analysis of the GHZ entanglement are highly demanded.  ... 
arXiv:1811.02711v1 fatcat:2ejfsbfrbvhq5bsteh53lppbrq

New Quantum Private Comparison Using Hyperentangled GHZ State

Jerrel Gianni, Zhiguo Qu
2021 Journal of Quantum Computing  
This protocol's quantum carrier is a hyperentangled three-photon GHZ state in 2 degrees of freedom (DOF), which could have 64 combinations.  ...  The TP can decide which combination to use based on the shared key information provided from a quantum key distribution (QKD) protocol.  ...  [4] proposed another QPC protocol that uses a triplet entangled state called the Greenberger-Horne-Zeilinger (GHZ) state. Later in 2011, Tseng et al.  ... 
doi:10.32604/jqc.2021.019675 fatcat:dvroq3v65ja3vk3bpju3t4wpyi

Optimal verification of entanglement in a photonic cluster state experiment

H Wunderlich, G Vallone, P Mataloni, M B Plenio
2011 New Journal of Physics  
We report on the quantification of entanglement by means of entanglement measures on a four- and a six- qubit cluster state realized by using photons entangled both in polarization and linear momentum.  ...  While Greenberger-Horne-Zeilinger (GHZ) states become more vulnerable under noise with increasing system size, this is not the case for cluster states [1] .  ...  Four-qubit cluster The hyperentangled state may be transformed into a cluster state |C 4 by using a waveplate with vertical optical axis and placed on the |r mode of the A photon.  ... 
doi:10.1088/1367-2630/13/3/033033 fatcat:tggacmmunnbxnchxvlgvopholy
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