Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Quantum Information Processing
Published in: Quantum Information Processing 8/2023

01-08-2023

Generation and entanglement study of generalized N-mode single-photon perfect W-states

Authors: Manoranjan Swain, M. Karthick Selvan, Amit Rai, Prasanta K. Panigrahi

Published in: Quantum Information Processing | Issue 8/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We propose generation and entanglement detection schemes for generalized N-mode single-photon perfect W-states. These states are suitable for perfect teleportation and superdense coding. Based on the evolution of single-photon wavefunction in scalable integrated photonic lattices, we present schemes to generate these states using both planar and ring type waveguide structures. The integrated waveguide structures can be precisely fabricated, offer low photon propagation losses and can be integrated on a chip. In addition, we derive set of generalized entanglement conditions using the sum uncertainty relations of generalized su(2) algebra operators. We show that any given genuinely entangled N-mode single-photon state is a squeezed state of a specific su(2) algebra operator and can be expressed as superposition of a pair of orthonormal generalized N-mode single-photon perfect W-states which are eigenstates of that specific su(2) algebra operator. Within the single-photon subspace, the generalized entanglement condition reduces to a simplified single-photon separability condition. Detection of entanglement of single-photon states, using this single-photon separability condition, requires finding fidelity with two pairs of orthonormal generalized N-mode single-photon perfect W-states and hence more suitable for our purpose. Finally, we propose an experimental scheme to verify the entanglement using the proposed conditions. This scheme uses a photonic circuit consisting of directional couplers and phase shifters. The same photonic circuit can also be used to generate generalized N-mode single-photon perfect W-states.
previous article Strong photon antibunching effect in a double-cavity optomechanical system with intracavity squeezed light
next article Quantum coherence and non-Markovianity in a noisy quantum tunneling problem

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Borras, A., Plastino, A., Batle, J., Zander, C., Casas, M., Plastino, A.: Multiqubit systems: highly entangled states and entanglement distribution. J. Phys. A Math. Theor. 40(44), 13407 (2007)ADSMathSciNetMATH
2.
Facchi, P., Florio, G., Parisi, G., Pascazio, S.: Maximally multipartite entangled states. Phys. Rev. A 77(6), 060304 (2008)ADSMathSciNet
3.
Enríquez, M., Wintrowicz, I., Życzkowski, K.: Maximally entangled multipartite states: a brief survey. J. Phys. Conf. Ser. 698, 012003 (2016)
4.
Miyake, A.: Classification of multipartite entangled states by multidimensional determinants. Phys. Rev. A 67(1), 012108 (2003)ADSMathSciNet
5.
Koashi, M., Bužek, V., Imoto, N.: Entangled webs: tight bound for symmetric sharing of entanglement. Phys. Rev. A 62(5), 050302 (2000)ADSMathSciNet
6.
Kafatos, M.: Bell’s Theorem, Quantum Theory and Conceptions of the Universe Bell’s theorem, Quantum Theory and Conceptions of the Universe, vol. 37. Springer, New York (2013)
7.
Dür, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62(6), 062314 (2000)ADSMathSciNet
8.
Dür, W., Aschauer, H., Briegel, H.J.: Multiparticle entanglement purification for graph states. Phys. Rev. Lett. 91(10), 107903 (2003)ADSMathSciNet
9.
Hein, M., Eisert, J., Briegel, H.J.: Multiparty entanglement in graph states. Phys. Rev. A 69(6), 062311 (2004)ADSMathSciNetMATH
10.
11.
Kempe, J.: Multiparticle entanglement and its applications to cryptography. Phys. Rev. A 60(2), 910 (1999)ADSMathSciNet
12.
Yeo, Y., Chua, W.K.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96(6), 060502 (2006)ADS
13.
Pirandola, S., Eisert, J., Weedbrook, C., Furusawa, A., Braunstein, S.L.: Advances in quantum teleportation. Nat. Photon. 9(10), 641 (2015)ADS
14.
Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77(3), 032321 (2008)ADS
15.
Choudhury, S., Muralidharan, S., Panigrahi, P.K.: Quantum teleportation and state sharing using a genuinely entangled six-qubit state. J. Phys. A Math. Theor. 42(11), 115303 (2009)ADSMathSciNetMATH
16.
Saha, D., Panigrahi, P.K.: N-qubit quantum teleportation, information splitting and superdense coding through the composite GHZ-Bell channel. Quant. Inf. Process. 11(2), 615 (2012)MathSciNet
17.
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70(13), 1895 (1993)ADSMathSciNetMATH
18.
Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58(6), 4394 (1998)ADSMathSciNet
19.
Kumar, A., Haddadi, S., Pourkarimi, M.R., Behera, B.K., Panigrahi, P.K.: Experimental realization of controlled quantum teleportation of arbitrary qubit states via cluster states. Sci. Rep. 10(1), 1 (2020)
20.
Agrawal, P., Pati, A.: Perfect teleportation and superdense coding with W states. Phys. Rev. A 74(6), 062320 (2006)ADS
21.
Rao, D.B., Ghosh, S., Panigrahi, P.K.: Generation of entangled channels for perfect teleportation using multielectron quantum dots. Phys. Rev. A 78(4), 042328 (2008)ADS
22.
Dong, L., Wang, J.X., Li, Q.Y., Shen, H.Z., Dong, H.K., Xiu, X.M., Gao, Y.J., Oh, C.H.: Nearly deterministic preparation of the perfect W state with weak cross-Kerr nonlinearities. Phys. Rev. A 93(1), 012308 (2016)ADS
23.
Xiu, X.M., Cui, C., Lin, Y.F., Dong, L., Dong, H.K., Gao, Y.J.: Splitting and acquiring quantum information with perfect states based on weak cross-Kerr nonlinearities. Progress of Theoretical and Experimental Physics 1, 013A03 (2018)MATH
24.
Li, X.K., Zhou, Y., Wang, G.H., Lv, D.Y., Badshah, F., Huang, H.M.: Generation of microwave photon perfect W states of three coupled superconducting resonators. Chin. Phys. B 32(4), 040306 (2022)
25.
Li, L., Qiu, D.: The states of W-class as shared resources for perfect teleportation and superdense coding. J. Phys. A Math. Theor. 40(35), 10871 (2007)ADSMathSciNetMATH
26.
Li, K., Kong, F.Z., Yang, M., Ozaydin, F., Yang, Q., Cao, Z.L.: Generating multi-photon W-like states for perfect quantum teleportation and superdense coding. Quantum Inf. Process. 15(8), 3137 (2016)ADSMathSciNetMATH
27.
Zhao-Hui, P., Chun-Xia, J., Jun-Gang, L.: Scheme for implementing perfect quantum teleportation with non-maximally entangled W-class state in cavity QED. Commun. Theor. Phys. 50(2), 375 (2008)ADSMATH
28.
Swain, M., Devrari, V., Rai, A., Behera, B.K., Panigrahi, P.K.: Generation of perfect W-state and demonstration of its application to quantum information splitting. arXiv preprint arXiv:​2006.​01742 (2020)
29.
Van Enk, S.: Single-particle entanglement. Phys. Rev. A 72(6), 064306 (2005)ADS
30.
Morin, O., Bancal, J.D., Ho, M., Sekatski, P., D’Auria, V., Gisin, N., Laurat, J., Sangouard, N.: Witnessing trustworthy single-photon entanglement with local homodyne measurements. Phys. Rev. Lett. 110(13), 130401 (2013)ADS
31.
Shi, J., Xu, P., Zhong, M., Gong, Y., Bai, Y., Yu, W., Li, Q., Jin, H., Zhu, S.: Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal. Opt. Express 21(7), 7875 (2013)ADS
32.
Gräfe, M., Heilmann, R., Perez-Leija, A., Keil, R., Dreisow, F., Heinrich, M., Moya-Cessa, H., Nolte, S., Christodoulides, D.N., Szameit, A.: On-chip generation of high-order single-photon W-states. Nat. Photon. 8(10), 791 (2014)ADS
33.
Monteiro, F., Vivoli, V.C., Guerreiro, T., Martin, A., Bancal, J.D., Zbinden, H., Thew, R.T., Sangouard, N.: Revealing genuine optical-path entanglement. Phys. Rev. Lett. 114(17), 170504 (2015)ADS
34.
Caspar, P., Verbanis, E., Oudot, E., Maring, N., Samara, F., Caloz, M., Perrenoud, M., Sekatski, P., Martin, A., Sangouard, N., et al.: Heralded distribution of single-photon path entanglement. Phys. Rev. Lett. 125(11), 110506 (2020)ADS
35.
Perez-Leija, A., Hernandez-Herrejon, J., Moya-Cessa, H., Szameit, A., Christodoulides, D.N.: Generating photon-encoded W states in multiport waveguide-array systems. Phys. Rev. A 87(1), 013842 (2013)ADS
36.
Hessmo, B., Usachev, P., Heydari, H., Björk, G.: Experimental demonstration of single photon nonlocality. Phys. Rev. Lett. 92(18), 180401 (2004)ADS
37.
White, S.J., Klauck, F., Tran, T.T., Schmitt, N., Kianinia, M., Steinfurth, A., Heinrich, M., Toth, M., Szameit, A., Aharonovich, I., et al.: Quantum random number generation using a hexagonal boron nitride single photon emitter. J. Opt. 23(1), 01LT01 (2020)
38.
Chen, X., Greiner, J.N., Wrachtrup, J., Gerhardt, I.: Single photon randomness based on a defect center in diamond. Sci. Rep. 9(1), 1 (2019)
39.
Luo, Q., Cheng, Z., Fan, J., Tan, L., Song, H., Deng, G., Wang, Y., Zhou, Q.: Quantum random number generator based on single-photon emitter in gallium nitride. Opt. Lett. 45(15), 4224 (2020)ADS
40.
Gottesman, D., Jennewein, T., Croke, S.: Longer-baseline telescopes using quantum repeaters. Phys. Rev. Lett. 109(7), 070503 (2012)ADS
41.
Rai, A., Agarwal, G.: Possibility of coherent phenomena such as Bloch oscillations with single photons via W states. Phys. Rev. A 79(5), 053849 (2009)ADS
42.
Szameit, A., Nolte, S.: Discrete optics in femtosecond-laser-written photonic structures Journal of Physics B: Atomic. Mol. Opt. Phys. 43(16), 163001 (2010)ADS
43.
Meany, T., Gräfe, M., Heilmann, R., Perez-Leija, A., Gross, S., Steel, M.J., Withford, M.J., Szameit, A.: Laser written circuits for quantum photonics. Laser Photon. Rev. 9(4), 363 (2015)ADS
44.
Keil, R., Noh, C., Rai, A., Stützer, S., Nolte, S., Angelakis, D.G., Szameit, A.: Optical simulation of charge conservation violation and Majorana dynamics. Optica 2(5), 454 (2015)ADS
45.
Rai, A., Lee, C., Noh, C., Angelakis, D.G.: Photonic lattice simulation of dissipation-induced correlations in bosonic systems. Sci. Rep. 5(1), 1 (2015)
46.
Heilmann, R., Gräfe, M., Nolte, S., Szameit, A.: A novel integrated quantum circuit for high-order W-state generation and its highly precise characterization. Sci. Bull. 60(1), 96 (2015)
47.
Rai, A., Das, S., Agarwal, G.: Quantum entanglement in coupled lossy waveguides. Opt. Express 18(6), 6241 (2010)ADS
48.
Swain, M., Rai, A., Selvan, M.K., Panigrahi, P.K.: Single photon generation and non-locality of perfect W-state. J. Opt. 22(7), 075202 (2020)ADS
49.
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80(10), 2245 (1998)ADSMATH
50.
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81(2), 865 (2009)ADSMathSciNetMATH
51.
Ma, Z.H., Chen, Z.H., Chen, J.L., Spengler, C., Gabriel, A., Huber, M.: Measure of genuine multipartite entanglement with computable lower bounds. Phys. Rev. A 83(6), 062325 (2011)ADS
52.
Rafsanjani, S.H., Huber, M., Broadbent, C.J., Eberly, J.H.: Genuinely multipartite concurrence of N-qubit X matrices. Phys. Rev. A 86(6), 062303 (2012)ADS
53.
Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61(5), 052306 (2000)ADS
54.
Koashi, M., Winter, A.: Monogamy of quantum entanglement and other correlations. Phys. Rev. A 69(2), 022309 (2004)ADSMathSciNet
55.
Zhu, X.N., Fei, S.M.: Generalized monogamy relations of concurrence for N-qubit systems. Phys. Rev. A 92(6), 062345 (2015)ADS
56.
57.
Horodecki, M., Horodecki, P., Horodecki, R.: On the necessary and sufficient conditions for separability of mixed quantum states. Phys. Lett. A 223(1) (1996)
58.
59.
Bourennane, M., Eibl, M., Kurtsiefer, C., Gaertner, S., Weinfurter, H., Gühne, O., Hyllus, P., Bruß, D., Lewenstein, M., Sanpera, A.: Experimental detection of multipartite entanglement using witness operators. Phys. Rev. Lett. 92(8), 087902 (2004)ADS
60.
61.
Agarwal, G.S., Biswas, A.: Inseparability inequalities for higher order moments for bipartite systems. New J. Phys. 7(1), 211 (2005)ADS
62.
Hillery, M., Zubairy, M.S.: Entanglement conditions for two-mode states. Phys. Rev. Lett. 96(5), 050503 (2006)ADSMathSciNet
63.
Hillery, M., Zubairy, M.S.: Entanglement conditions for two-mode states: applications. Phys. Rev. A 74(3), 032333 (2006)ADS
64.
Nha, H., Kim, J.: Entanglement criteria via the uncertainty relations in su (2) and su (1, 1) algebras: detection of non-Gaussian entangled states. Phys. Rev. A 74(1), 012317 (2006)ADS
65.
Nha, H.: Linear optical scheme to demonstrate genuine multipartite entanglement for single-particle W states. Phys. Rev. A 77(6), 062328 (2008)ADSMathSciNet
66.
Selvan, K., Panigrahi, P.K.: Entanglement condition for W type multimode states and schemes for experimental realization. Eur. Phys. J. D 73(6), 1 (2019)
67.
Matthews, J.C., Politi, A., Stefanov, A., O’brien, J.L.: Manipulation of multiphoton entanglement in waveguide quantum circuits. Nat. Photon. 3(6), 346 (2009)ADS
68.
Meher, N., Sivakumar, S., Panigrahi, P.K.: Duality and quantum state engineering in cavity arrays. Sci. Rep. 7(1), 1 (2017)
69.
Pellizzari, T.: Quantum networking with optical fibres. Phys. Rev. Lett. 79(26), 5242 (1997)ADS
70.
Van Enk, S., Kimble, H., Cirac, J., Zoller, P.: Quantum communication with dark photons. Phys. Rev. A 59(4), 2659 (1999)ADS
71.
Lu, D.M., Chen, L.H.: Geometrical quantum discord in the coupled cavities system with tetrahedral structure. Int. J. Theor. Phys. 58(2), 605 (2019)MATH
72.
Kyoseva, E., Beige, A., Kwek, L.C.: Coherent cavity networks with complete connectivity. New J. Phys. 14(2), 023023 (2012)ADS
73.
Cho, J., Angelakis, D.G., Bose, S.: Heralded generation of entanglement with coupled cavities. Phys. Rev. A 78(2), 022323 (2008)ADS
74.
Bergou, J.A.: Entangled fields in multiple cavities as a testing ground for quantum mechanics. Found. Phys. 29(4), 503 (1999)MathSciNet
75.
Guo, G.C., Zhang, Y.S.: Scheme for preparation of the W state via cavity quantum electrodynamics. Phys. Rev. A 65(5), 054302 (2002)ADS
76.
Yang, M., Yi, Y.M., Cao, Z.L.: Scheme for preparation of W state via cavity QED. Int. J. Quant. Inf. 2(02), 231 (2004)MATH
77.
Hillery, M., Mlodinow, L.: Interferometers and minimum-uncertainty states. Phys. Rev. A 48(2), 1548 (1993)ADS
78.
Lougovski, P., van Enk, S.J., Choi, K.S., Papp, S.B., Deng, H., Kimble, H.: Verifying multipartite mode entanglement of W states. New J. Phys. 11(6), 063029 (2009)ADS
79.
Chen, Z., Zhou, Y., Shen, J.T.: Exact dissipation model for arbitrary photonic Fock state transport in waveguide QED systems. Opt. Lett. 42(4), 887 (2017)ADS
80.
Chen, Z., Zhou, Y., Shen, J.T.: Entanglement-preserving approach for reservoir-induced photonic dissipation in waveguide QED systems. Phys. Rev. A 98(5), 053830 (2018)ADS
Metadata
Title
Generation and entanglement study of generalized N-mode single-photon perfect W-states
Authors
Manoranjan Swain
M. Karthick Selvan
Amit Rai
Prasanta K. Panigrahi
Publication date
01-08-2023
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-023-04057-3

Other articles of this Issue 8/2023

Quantum Information Processing 8/2023 Go to the issue

OriginalPaper

Renormalized Von Neumann entropy with application to entanglement in genuine infinite dimensional systems

OriginalPaper

Qudit surface codes and hypermap codes

OriginalPaper

Nonequilibrium effects on quantum temporal steering

OriginalPaper

The Feasible Hyper-encoding Measurement-device-independent Deterministic Secure Quantum Communication Protocol

OriginalPaper

An improved method for quantum matrix multiplication

OriginalPaper

Noise analysis for the Sorkin and Peres tests performed on a quantum computer