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Quantum Information Processing
Published in: Quantum Information Processing 2/2018

01-02-2018

Noise effects on entanglement distribution by separable state

Authors: Najmeh Tabe Bordbar, Laleh Memarzadeh

Published in: Quantum Information Processing | Issue 2/2018

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Abstract

We investigate noise effects on the performance of entanglement distribution by separable state. We consider a realistic situation in which the mediating particle between two distant nodes of the network goes through a noisy channel. For a large class of noise models, we show that the average value of distributed entanglement between two parties is equal to entanglement between particular bipartite partitions of target qubits and exchange qubit in intermediate steps of the protocol. This result is valid for distributing two-qubit/qudit and three-qubit entangled states. In explicit examples of the noise family, we show that there exists a critical value of noise parameter beyond which distribution of distillable entanglement is not possible. Furthermore, we determine how this critical value increases in terms of Hilbert space dimension, when distributing d-dimensional Bell states.
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Appendix
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Literature
1.
Zurek, W.H.: Decoherence and the transition from quantum to classical-revisited. Phys. Today 44, 36–44 (1991)CrossRef
2.
3.
Wiseman, H.M., Milburn, G.J.: Quantum Measurement and Control. Cambridge University Press, New York (2010)MATH
4.
5.
Memarzadeh, L., Macchiavello, C., Mancini, S.: Recovering quantum information through partial access to the environment. N. J. Phys. 13, 103031-1–103031-16 (2011)
6.
7.
Bose, S., Vedral, V., Knight, P.L.: Multiparticle generalization of entanglement swapping. Phys. Rev. A 57, 822–829 (1998)ADSCrossRef
8.
Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, William K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824–3851 (1996)ADSMathSciNetCrossRefMATH
9.
Cirac, J.I., Dür, W., Kraus, B., Lewenstein, M.: Entangling operations and their implementation using a small amount of entanglement. Phys. Rev. Lett. 86, 544–547 (2001)ADSCrossRef
10.
Kraus, B., Cirac, J.I.: Optimal creation of entanglement using a two-qubit gate. Phys. Rev. A 63, 062309-1–062309-8 (2001)ADSCrossRef
11.
Cirac, J.I., Zoller, P.: Preparation of macroscopic superpositions in many-atom systems. Phys. Rev. A 50, R2799–R2802(R) (1994)ADSCrossRef
12.
Braun, D.: Creation of entanglement by interaction with a common heat bath. Phys. Rev. Lett. 89, 277901–277904 (2002)CrossRef
13.
Benatti, F., Floreanini, R., Piani, M.: Environment induced entanglement in Markovian dissipative dynamics. Phys. Rev. Lett. 91, 070402–070404 (2003)ADSCrossRef
14.
Memarzadeh, L., Mancini, S.: Stationary entanglement achievable by environment-induced chain links. Phys. Rev. A 83, 042329-1–042329-5 (2011)ADSCrossRef
15.
Memarzadeh, L., Mancini, S.: Entanglement dynamics for qubits dissipating into a common environment. Phys. Rev. A 87, 032303-1–032303-6 (2013)ADSCrossRef
16.
Kwiat, P.G., Mattle, K., Weinfurter, H., Zeilinger, A., Sergienko, A.V., Shih, Y.: New high-intensity source of polarization-entangled photon pairs. Phys. Rev. Lett. 75, 4337–4341 (1995)ADSCrossRef
17.
Spee, C., de Vicente, J.I., Kraus, B.: Remote entanglement preparation. Phys. Rev. A 88, 010305(R)-1–010305(R)-4 (2013)ADSCrossRef
18.
Cubitt, T.S., Verstraete, F., Dür, W., Cirac, J.I.: Separable states can be used to distribute entanglement. Phys. Rev. Lett. 91, 037902-1–037902-4 (2003)ADS
19.
Fedrizzi, A., Zuppardo, M., Gillett, G.G., Broome, M.A., Almeida, M.P., Paternostro, M., White, A.G., Paterek, T.: Experimental distribution of entanglement with separable carriers. Phys. Rev. Lett. 111, 230504-1–230504-5 (2013)ADSCrossRef
20.
Vollmer, C.E., Schulze, D., Eberle, T., Händchen, V., Fiurásek, J., Schnabel, R.: Experimental entanglement distribution by separable states. Phys. Rev. Lett. 111, 230505-1–230505-5 (2013)ADSCrossRef
21.
Peuntinger, C., Chille, V., Mista Jr., L., Korolkova, N., Förtsch, M., Korger, J., Marquardt, C., Leuchs, G.: Distributing entanglement with separable states. Phys. Rev. Lett. 111, 230506-1–230506-5 (2013)ADSCrossRef
22.
Mista Jr., L., Korolkova, N.: Distribution of continuous-variable entanglement by separable Gaussian states. Phy. Rev. A 77, 050302(R)-1–050302(R)-4 (2008)ADSMathSciNetCrossRef
23.
Mista Jr., L., Korolkova, N.: Improving continuous-variable entanglement distribution by separable states. Phy. Rev. A 80, 032310-1–032310-7 (2009)ADSCrossRef
24.
Karimipour, V., Memarzadeh, L., Bordbar, N.T.: Systematics of entanglement distribution by separable states. Phys. Rev. A 92, 032325-1–032325-5 (2015)ADS
25.
Streltsov, A., Kampermann, H., Bru, D.: Quantum cost for sending entanglement. Phys. Rev. Lett. 108, 250501-1–250501-5 (2012)ADSCrossRef
26.
Chuan, T.K., Maillard, J., Modi, K., Paterek, T., Paternostro, M., Piani, M.: Quantum discord bounds the amount of distributed entanglement. Phys. Rev. Lett. 109, 070501-1–070501-5 (2012)ADSCrossRef
27.
Streltsov, A., Augusiak, R., Demianowicz, M., Lewenstein, M.: Progress towards a unified approach to entanglement distribution Phys. Rev. A 92, 012335-1–012335-14 (2015)CrossRef
28.
Pal, R., Bandyopadhyay, S., Ghosh, S.: Entanglement sharing through noisy qubit channels: one-shot optimal singlet fraction. Phys. Rev. A 90, 052304-1–052304-8 (2014)ADS
29.
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245–2248 (1998)ADSCrossRefMATH
30.
King, C., Ruskai, M.B.: Minimal entropy of states emerging from noisy quantum channels. IEEE Trans. Inf. Theory 47, 192–209 (2001)MathSciNetCrossRefMATH
31.
Fujiwara, A., Algoet, P.: One-to-one parametrization of quantum channels. Phys. Rev. A 59, 3290–3294 (1999)ADSCrossRef
32.
Ruskai, M.B., Szarek, S., Werner, E.: An analysis of completely-positive trace-preserving maps on M2. Linear Algebra Appl. 347, 159–187 (2002)MathSciNetCrossRefMATH
33.
Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314-1–032314-11 (2002)ADSCrossRef
34.
Metadata
Title
Noise effects on entanglement distribution by separable state
Authors
Najmeh Tabe Bordbar
Laleh Memarzadeh
Publication date
01-02-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 2/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1798-1

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