Knotted picture of the whole complete quantum measurement process of quantum teleportation

doi:10.1088/1674-1056/19/8/080306

Abstract Based on the previous work about the knotted pictures of quantum states, quantum logic gates and unitary transformations, this paper further gives the whole complete quantum measurement process of quantum teleportation from the viewpoint of knot theory.

Keywords: Bell bases single particle quantum state knotted picture flip operation inversion operation composition operation

Received: 20 October 2009
Revised: 12 March 2010
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	02.10.Kn	(Knot theory)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.67.Lx	(Quantum computation architectures and implementations)

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Gu Zhi-Yu(顾之雨) and Qian Shang-Wu(钱尚武) Knotted picture of the whole complete quantum measurement process of quantum teleportation 2010 Chin. Phys. B 19 080306

[1]	Bennett C H 1993 Phys. Rev. Lett. 70 1895
[2]	Ekert A and Josza R 1996 Rev. Mod. Phys. 68 733
[3]	DiVincenzo D P 1995 Science 270 255
[4]	Fuchs C A, Gisin M, Griffiths R B, Niu C S and Peres A 1997 Phys. Rev. A 56 1163
[5]	Horodecki M and Horodecki P 1999 Phys. Rev. A 59 4206
[6]	Cerf N J, Adami C and Gingrich R M 1999 Phys. Rev. A 60 898
[7]	Hardy L and Song D D 2001 Phys. Rev. A 62 052315
[8]	Fan H 2000 Phys. Lett. A 286 81
[9]	Thapliyal A V 1999 Phys. Rev. A 59 3336
[10]	Vedral V, Plenio M B, Rippin M A and Knight P L 1997 Phys. Rev. Lett. 78 2275
[11]	Horodecki P and Lewenstein M 2000 Phys. Rev. Lett. 85 2657
[12]	Bennett C H, DiVincen Z O, Smolin J A and Wootters W K 1996 Phys. Rev. A 54 3824
[13]	Kauffman L H 1993 Knots and Physics 2nd ed. (Singapore: World Scientific)
[14]	Kleinert H 1990 Path Integrals in Quantum Mechanics and Polymer Physics (Singapore: World Scientific)
[15]	Kauffman L H and Lomonaco S J 2002 New Journal of Physics 73.1--73.8
[16]	Yang C N and Ge M L 1989 it Braid Group, Knot Theory and Statistical Mechanics (New Jersey: World Scientific)
[17]	Qian S W and Gu Z Y 2002 Commun. Theor. Phys. (Beijing, China) 37 659
[18]	Qian S W and Gu Z Y 2002 J. Phys. A: Math. Gen. 35 3733
[19]	Qian S W and Gu Z Y 2002 Commun. Theor. Phys. (Beijing, China) 38 421
[20]	Mahler G and Weberrufz V A 1998 Quantum Networks second revised and enlarged edition (Berline: Springer)
[21]	Qian S W and Gu Z Y 2003 Commun. Theor. Phys. (Beijing, China) 39 15
[22]	Gu Z Y and Qian S W 2003 Commun. Theor. Phys. (Beijing, China) 39 421
[23]	Qian S W and Gu Z Y 2004 Commun. Theor. Phys. (Beijing, China) 41 201
[24]	Gu Z Y and Qian S W 2004 Commun. Theor. Phys. (Beijing, China) 41 531
[25]	Gu Z Y and Qian S W 2008 Commun. Theor. Phys. (Beijing, China) 49 65
[26]	Gu Z Y and Qian S W 2008 Commun. Theor. Phys. (Beijing, China) 49 1163
[27]	Gu Z Y and Qian S W 2009 Commun. Theor. Phys. (Beijing, China) 51 769
[28]	Gu Z Y and Qian S W 2009 Commun. Theor. Phys. (Beijing, China) 51 967

[1]	On the correspondence between three nodes W states in quantum network theory and the oriented links in knot theory Gu Zhi-Yu (顾之雨), Qian Shang-Wu (钱尚武). Chin. Phys. B, 2015, 24(4): 040301.
[2]	Knotted pictures of the GHZ states on the surface of trivial torus Gu Zhi-Yu(顾之雨) and Qian Shang-Wu(钱尚武) . Chin. Phys. B, 2012, 21(7): 070201.
[3]	Knotted pictures of the Bell bases on the surface of a trivial torus Gu Zhi-Yu(顾之雨) and Qian Shang-Wu(钱尚武) . Chin. Phys. B, 2011, 20(9): 090201.

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Knotted picture of the whole complete quantum measurement process of quantum teleportation

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