Generalized Bell inequalities with parametric down-conversion

2003 ◽  
Vol 3 (special) ◽  
pp. 471-479
Author(s):  
A. Lamas-Linares ◽  
W.T.M. Irvine ◽  
J.C. Howell ◽  
D. Bouwmeester
Keyword(s):  
Bell Inequalities ◽  
Experimental Results ◽  
High Dimensional ◽  
Parametric Down Conversion ◽  
Down Conversion ◽  
Influence Of Noise

We analize the suitability of states generated by stimulated parametric down-conversion for the testing of high dimensional Bell-type inequalities. Two families of bipartite inequalities are considered. For both it is found that the states are good candidates for the tests and some experimental results for one spin-1 inequality are given. The influence of noise and the possibility of supurious results are discussed.

TWO-PHOTON HIGH-DIMENSIONAL SPATIAL ENTANGLEMENT: THEORY AND EXPERIMENT

2006 ◽  
Vol 20 (01) ◽  
pp. 1-23 ◽  
Author(s):  
LEONARDO NEVES ◽  
G. LIMA ◽  
J. G. AGUIRRE GÓMEZ ◽  
C. H. MONKEN ◽  
C. SAAVEDRA ◽  
...  
Keyword(s):  
Quantum Systems ◽  
High Dimensional ◽  
Entangled States ◽  
Type Ii ◽  
Opaque Screen ◽  
Two Photon ◽  
Parametric Down Conversion ◽  
Experimental Works ◽  
Maximally Entangled States ◽  
Down Conversion

We review recent theoretical and experimental works where are proposed and demonstrated how to use photon pairs created by spontaneous parametric down-conversion to generate entangled states of D-dimensional quantum systems, or qudits. This is the first demonstration of high-dimensional entanglement based on the intrinsic transverse momentum entanglement of the type-II down-converted photons. The qudit space is defined by an aperture made up of an opaque screen with D slits (paths), placed in the arms of the twin photons. By manipulating the pump beam profile we can prepare different entangled states of these possible paths. We focus our attention on an important case for applications in quantum information: the maximally entangled states. Experimental results for qudits with D=4 and D=8 are shown and measuring a two-photon conditional interference, we also demonstrate the nonclassical character of the correlations.

Metalens-array–based high-dimensional and multiphoton quantum source

Science ◽  
2020 ◽  
Vol 368 (6498) ◽  
pp. 1487-1490 ◽  
Author(s):  
Lin Li ◽  
Zexuan Liu ◽  
Xifeng Ren ◽  
Shuming Wang ◽  
Vin-Cent Su ◽  
...  
Keyword(s):  
Nonlinear Crystal ◽  
High Dimensional ◽  
Two Photon ◽  
Parametric Down Conversion ◽  
State Generation ◽  
Quantum Optical ◽  
Photon Generation ◽  
Down Conversion ◽  
Photon Source ◽  
Photon Path

The development of two-dimensional metasurfaces has shown great potential in quantum-optical technologies because of the excellent flexibility in light-field manipulation. By integrating a metalens array with a nonlinear crystal, we demonstrate a 100-path spontaneous parametric down-conversion photon-pair source in a 10 × 10 array, which shows promise for high-dimensional entanglement and multiphoton-state generation. We demonstrate two-, three- and four-dimensional two-photon path entanglement with different phases encoded by metalenses with fidelities of 98.4, 96.6, and 95.0%, respectively. Furthermore, four-photon and six-photon generation is observed with high indistinguishability of photons generated from different metalenses. Our metalens-array–based quantum photon source is compact, stable, and controllable, indicating a new platform for integrated quantum devices.

Creating high-dimensional time-bin entanglement using mode-locked lasers

2002 ◽  
Vol 2 (6) ◽  
pp. 425-433
Author(s):  
H. de Riedmatten ◽  
I. Marcikic ◽  
H. Zbinden ◽  
N. Gisin
Keyword(s):  
High Dimensional ◽  
Photon State ◽  
Two Photon ◽  
Length Difference ◽  
Fabry Perot ◽  
Parametric Down Conversion ◽  
Path Length Difference ◽  
Mode Locked Lasers ◽  
Down Conversion ◽  
Feasible Experiment

We present a new scheme to generate high dimensional entanglement between two photonic systems. The idea is based on parametric down conversion with a sequence of pump pulses generated by a mode-locked laser. We prove experimentally the feasibility of this scheme by performing a Franson-type Bell test using a 2-way interferometer with path-length difference equal to the distance between 2 pump pulses. With this experiment, we can demonstrate entanglement for a two-photon state of at least dimension D=11. Finally, we propose a feasible experiment to show a Fabry-Perot like effect for a high dimensional two-photon state.

KNOWLEDGE EXCESS DUALITY AND VIOLATION OF BELL INEQUALITIES: THEORY AND EXPERIMENT

2005 ◽  
Vol 19 (05) ◽  
pp. 195-210 ◽  
Author(s):  
M. GAVENDA ◽  
A. ČERNOCH ◽  
J. SOUBUSTA ◽  
M. DUŠEK ◽  
R. FILIP
Keyword(s):  
Bell Inequalities ◽  
Qubit State ◽  
The Other ◽  
Two Photon ◽  
Measurement Results ◽  
Parametric Down Conversion ◽  
Werner States ◽  
Down Conversion ◽  
Projective Measurements ◽  
Theory And Experiment

We analyze correlations between two parties sharing a general mixed two-qubit state ρSM in order to predict measurement outcomes. It is an interesting question as to what can be predicted about the results of two complementary projective measurements on one qubit from the measurement results on the other qubit. To quantify these predictions the complementary knowledge excessesΔK(ΠM→ΠS) and ΔK(Π′M→Π′S) are used, where ΠS, Π′S resp. ΠM, Π′M represent projective measurements on the qubit S resp. M. We derive an inequality ΔK2(ΠM→ΠS) + ΔK2(Π′M→Π′S)≤(B max /2)2, where B max is the maximum violation of Bell inequalities. This inequality restricts our capability to enhance the complementary predictions for any state ρSM and for arbitrary ΠS, Π′S and ΠM, Π′M. This result is experimentally verified on two-photon Werner states prepared by means of spontaneous parametric down-conversion.

scholarly journals MULTIMODE HONG–OU–MANDEL INTERFEROMETRY

2005 ◽  
Vol 19 (01n02) ◽  
pp. 1-19 ◽  
Author(s):  
S. P. WALBORN ◽  
W. A. T. NOGUEIRA ◽  
A. N. de OLIVEIRA ◽  
S. PÁDUA ◽  
C. H. MONKEN
Keyword(s):  
Quantum Information ◽  
Pump Beam ◽  
Basic Theory ◽  
Experimental Results ◽  
Two Photon ◽  
Photon Pairs ◽  
Transverse Profile ◽  
Parametric Down Conversion ◽  
Pump Signal ◽  
Down Conversion

We review some recent experiments based upon multimode two-photon interference of photon pairs created by spontaneous parametric down-conversion. The new element provided by these experiments is the inclusion of the transverse spatial profiles of the pump, signal and idler fields. We discuss multimode Hong–Ou–Mandel interference, and show that the transverse profile of the pump beam can be manipulated in order to control two-photon interference. We present the basic theory and experimental results as well as several applications to the field of quantum information.

Generation of Optical—Terahertz Biphotons and Detection of Their Terahertz Component under Frequency-Nondegenerate Parametric Down-Conversion

JETP Letters ◽  
2020 ◽  
Vol 112 (5) ◽  
pp. 269-273
Author(s):  
V. D. Sultanov ◽  
K. A. Kuznetsov ◽  
A. A. Leontyev ◽  
G. Kh. Kitaeva
Keyword(s):  
Parametric Down Conversion ◽  
Down Conversion

Salp swarm algorithm with crossover scheme and Lévy flight for global optimization

2021 ◽  
pp. 1-12
Author(s):  
Heming Jia ◽  
Chunbo Lang
Keyword(s):  
Global Optimization ◽  
Heuristic Algorithm ◽  
Experimental Results ◽  
High Dimensional ◽  
Lévy Flight ◽  
Test Functions ◽  
Levy Flight ◽  
Salp Swarm Algorithm ◽  
Swarm Algorithm ◽  
Accuracy And Stability

Salp swarm algorithm (SSA) is a meta-heuristic algorithm proposed in recent years, which shows certain advantages in solving some optimization tasks. However, with the increasing difficulty of solving the problem (e.g. multi-modal, high-dimensional), the convergence accuracy and stability of SSA algorithm decrease. In order to overcome the drawbacks, salp swarm algorithm with crossover scheme and Lévy flight (SSACL) is proposed. The crossover scheme and Lévy flight strategy are used to improve the movement patterns of salp leader and followers, respectively. Experiments have been conducted on various test functions, including unimodal, multimodal, and composite functions. The experimental results indicate that the proposed SSACL algorithm outperforms other advanced algorithms in terms of precision, stability, and efficiency. Furthermore, the Wilcoxon’s rank sum test illustrates the advantages of proposed method in a statistical and meaningful way.

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