File:Conditional quantum teleportation of photon polarization.png
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Summary
| Description |
English: Schematic of a quantum teleportation experiment, where the polarization of a photon coming from the left along the left arrow is teleported to a photon leaving to the right along the right arrow. The teleportation works only when Alice detects the singlet state . The source S (comprising a single non-linear crystal pumped with a strong blue laser beam) produces via SPDC a pair of maximally polarization-entangled photons. One of these entangled photons flies to Alice where it enters a beam splitter and interferes there with an incoming to-be-teleported photon. The only scenario, when HOM effect does not lead to bunching of the two photons is when they are in the anti-symmetric state. This scenario is marked by a coincident detection of a photon in each of the two detectors. Once Alice detects such a coincidence, a classical message is sent to Bob so that he knows that his particle resides now in the teleported state. The schematic closely follows the experiment of Nature volume 390, pages 575–579 (1997). |
| Date | |
| Source | Own work |
| Author | JozumBjada |
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Source code
This animation was created using Wolfram language 13.0.1 for Microsoft Windows (64-bit) (January 28, 2022). The source code follows (formatted as a .wl package file).
(* ::Package:: *)
(* ::Title:: *)
(*Teleportation \[LongDash] 3D setup*)
(* ::Subtitle:: *)
(*Conditional teleportation that succeeds only when the singlet state Ket[SuperMinus[\[CapitalPsi]]] is detected*)
(* ::Section:: *)
(*Paclet initialization and auxiliary routines*)
(* ::Input:: *)
pc=First@PacletFindRemote["*/OpticalElements3D"]
pc=PacletInstall[pc]
Needs[First[pc["Context"]]]
(* ::Input:: *)
cubFl=ResourceFunction["CuboidalFlange3D"];
cylFl=ResourceFunction["CylindricalFlange3D"];
cub=ResourceFunction["RoundedCuboid"];
cyl=ResourceFunction["RoundedCylinder"];
arr=ResourceFunction["DashedTube"];
(* ::Section:: *)
(*Parameters*)
(* ::Input:: *)
scA=8;
scB=10;
posA=scA{1,1,0};
posA0=2scA{0,1,0};
posA1=posA+2{1,1,0};
posA1e=posA+4{1,1,0};
posA2=posA+2{1,-1,0};
posA2e=posA+4{1,-1,0};
posAc=posA+4{1,0,0};
posB=scB{1,-1,0};
posBe=1.5scB{1,-1,0};
rastSize=200;
fontSize=30;
(* ::Section:: *)
(*Setup*)
(* ::Input:: *)
gr=Graphics3D[{EdgeForm[],
(*source*)
{Opacity[0.8,LightBlue],cubFl[{"RoundedCuboid",0.8 1,0.8 2,0.8 1,0.1},0,"Label"-><|3->"S"|>,RasterSize->rastSize]},
(*alice*)
{Opacity[0.8],
Style[{Opacity[0.2,Gray],Translate[Rotate[{cubFl[{"RoundedCuboid",3.5,3.5,1,0.1},0],Opacity[1,Black],cubFl[{"Empty",3.5,3.5,1,0.3},0,"Label"-><|3->" Alice"|>,RasterSize->rastSize]},-\[Pi]/4,{0,0,1}],(posA+posAc)/2+{0,-1,0}]},ClipPlanes->InfinitePlane[{0,0,0.8},{{0,1,0},{1,0,0}}]]},
Translate[Rotate[#,\[Pi]/4,{0,0,1},{0,0,0}]&@BeamSplitter["Light"],posA],
{Gray,Translate[cylFl[{"RoundedCylinder",1,1,0.1},0,0,{2,{"RoundedCylinder",0.2,0.3,0.1}}],posAc],
Translate[{cubFl[{"Empty",0.5},0,"Label"-><|1->Style["&",fontSize,FontFamily->"Times"]|>,RasterSize->rastSize]},posAc]},
Translate[Rotate[FiberCoupler["ConnectorFilled"],-3\[Pi]/4,{0,0,1}],posA1],
Translate[Rotate[FiberCoupler["ConnectorFilled"],-5\[Pi]/4,{0,0,1}],posA2],
{Gray,Tube[BezierCurve[{posA1,posA1e,posAc}],0.1],
Tube[BezierCurve[{posA2,posA2e,posA2e,posAc}],0.1]},
(*beams*)
OpticalBeam[{"Var",{0.5,0.3}},{Blue,Purple},{{-5,0,0},{0.1,0,0}}],
OpticalBeam["Collimated",{Orange,Red},{{0,0,0},posA1}],
OpticalBeam["Collimated",{Orange,Red},{{0,0,0},posBe}],
OpticalBeam["Collimated",{Orange,Red},{posA0,posA2}],
(*bob*)
{Opacity[0.8],
Style[{Opacity[0.2,Gray],Translate[Rotate[{cubFl[{"RoundedCuboid",2,1,1,0.2},0],Opacity[1,Black],cubFl[{"Empty",2,1,1,0.1},0,"Label"-><|3->"Bob"|>,RasterSize->rastSize]},-\[Pi]/4,{0,0,1}],posB]},ClipPlanes->InfinitePlane[{0,0,0.8},{{0,1,0},{1,0,0}}]]},
(*arrows*)
{Darker[Gray],Dashing[{1,0.55}],Arrow@arr[BezierCurve[{posAc,(posAc+posB)/2+{5,0,0},posB+{1,1,0}}]],Gray,BezierCurve[{posAc,(posAc+posB)/2+{5,0,0},posB+{1,1,0}}]},
{Orange,Glow@Red,Arrow@Tube[{{posA0+{0,0,1.2}+0.1(posA-posA0),posA0+{0,0,1.2}+0.5(posA-posA0)},{posB+{0,0,1.2}+0.3(posA-posA0),posB+{0,0,1.2}+0.7(posA-posA0)}}]},
Text[Style[Row[{Ket[SuperMinus[\[CapitalPsi]]],"?"}],fontSize,FontFamily->"Times"],(posAc+posB)/2+{5,0,0},{0.3,0}]
},
Boxed->False,ViewPoint->{-0.7,-2.7,1.9},ViewVertical->{0,0,1},ImageSize->700,Lighting->"Neutral"];
(* ::Section:: *)
(*Rasterize and export*)
(* ::Input:: *)
rast=Rasterize[gr,ImageResolution->300,Background->None];
rast=ImageCrop[rast];
(* ::Input:: *)
SetDirectory[NotebookDirectory[]]
(* ::Input:: *)
Export["telep_3D_setup.png",cr]
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:56, 7 October 2023 | | 2,459 × 1,392 (253 KB) | JozumBjada | Uploaded while editing "Wikipedista:JozumBjada/Pískoviště 4" on cs.wikipedia.org |
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