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Quantum Information Processing

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01-10-2017

Performance of quantum cloning and deleting machines over coherence

Authors: Sumana Karmakar, Ajoy Sen, Debasis Sarkar

Published in: Quantum Information Processing | Issue 10/2017

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Abstract

Coherence, being at the heart of interference phenomena, is found to be an useful resource in quantum information theory. Here we want to understand quantum coherence under the combination of two fundamentally dual processes, viz., cloning and deleting. We found the role of quantum cloning and deletion machines with the consumption and generation of quantum coherence. We establish cloning as a cohering process and deletion as a decohering process. Fidelity of the process will be shown to have connection with coherence generation and consumption of the processes.

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Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299, 802–803 (1982)ADSCrossRefMATH

Buzek, V., Hillery, M.: Quantum copying: beyond the no-cloning theorem. Phys. Rev. A 54, 1844–1852 (1996)ADSMathSciNetCrossRef

Bruss, D., DiVincenzo, D.P., Ekert, A., Fuchs, C.A., Macchiavello, C., Smolin, J.A.: Optimal universal and state-dependent quantum cloning. Phys. Rev. A 57, 2368–2378 (1998)ADSCrossRef

Bruss, D., Cinchetti, M., D’Ariano, G.M., Macchiavello, C.: Phase-covariant quantum cloning. Phys. Rev. A 62, 012302 (2000)ADSCrossRef

Pati, A.K., Braunstein, S.L.: Impossibility of deleting an unknown quantum state. Nature 404, 164–165 (2000)ADS

Pati, A.K.: Quantum superposition of multiple clones and the novel cloning machine. Phys. Rev. Lett. 83, 2849–2852 (1999)ADSMathSciNetCrossRefMATH

Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. Phys. Rev. Lett. 113, 140401 (2014)ADSCrossRef

Lloyd, S.: Quantum coherence in biological systems. J. Phys. Conf. Ser. 302, 012037 (2011)CrossRef

Li, C.-M., Lambert, N., Chen, Y.-N., Chen, G.-Y., Nori, F.: Witnessing quantum coherence: from solid-state to biological systems. Sci. Rep. 2, 885 (2012)CrossRef

10.

Huelga, S.F., Plenio, M.B.: Vibrations, quanta and biology. Contemp. Phys. 54, 181–207 (2013)ADSCrossRef

11.

Skrzypczyk, P., Short, A.J., Popescu, S.: Work extraction and thermodynamics for individual quantum systems. Nat. Commun. 5, 4185 (2014)ADSCrossRef

12.

Åberg, J.: Catalytic coherence. Phys. Rev. Lett. 113, 150402 (2014)CrossRef

13.

Lostaglio, M., Jennings, D., Rudolph, T.: Description of quantum coherence in thermodynamic processes requires constraints beyond free energy. Nat. Commun. 6, 6383 (2015)ADSCrossRef

14.

Lostaglio, M., Korzekwa, K., Jennings, D., Rudolph, T.: Quantum coherence, time-translation symmetry, and thermodynamics. Phys. Rev. X 5, 021001 (2015)

15.

Korzekwa, K., Lostaglio, M., Oppenheim, J., Jennings, D.: The extraction of work from quantum coherence. New J. Phys. 18, 023045 (2016)ADSCrossRef

16.

Girolami, D.: Observable measure of quantum coherence in finite dimensional systems. Phys. Rev. Lett. 113, 170401 (2014)ADSCrossRef

17.

Gisin, N., Massar, S.: Optimal quantum cloning machine. Phys. Rev. Lett. 79, 2153–2156 (1997)ADSCrossRef

18.

Bruss, D., Ekert, A., Macchiavello, C.: Optimal universal quantum cloning and state estimation. Phys. Rev. Lett. 81, 2598–2601 (1998)ADSCrossRef

19.

Bae, J., Acin, A.: Asymptotic quantum cloning is state estimation. Phys. Rev. Lett. 97, 030402 (2006)ADSCrossRef

20.

Berta, M., Christandl, M., Colbeck, R., Renes, J.M., Renner, R.: The uncertainty principle in the presence of quantum memory. Nat. Phys. 6, 659–662 (2010)CrossRef

21.

Tomamichel, M., Renner, R.: Uncertainty relation for smooth entropies. Phys. Rev. Lett. 106, 110506 (2011)ADSCrossRef

22.

Tomamichel, M., Lim, C.C.W., Gisin, N., Renner, R.: Tight finite-key analysis for quantum cryptography. Nat. Commun. 3, 634 (2012)ADSCrossRef

23.

Sazim, S., Chakrabarty, I., Datta, A., Pati, A.K.: Complementarity of quantum correlations in cloning and deleting of quantum states. Phys. Rev. A 91, 062311 (2015)ADSCrossRef

24.

Shao, L.-H., Xi, Z., Fan, H., Li, Y.: Fidelity and trace-norm distances for quantifying coherence. Phys. Rev. A 91, 042120 (2015)ADSCrossRef

25.

Rana, S., Parashar, P., Lewenstein, M.: Trace-distance measure of coherence. Phys. Rev. A 93, 012110 (2016)ADSMathSciNetCrossRef

Title: Performance of quantum cloning and deleting machines over coherence
Authors: Sumana Karmakar
Ajoy Sen
Debasis Sarkar
Publication date: 01-10-2017
Publisher: Springer US
Published in: Quantum Information Processing / Issue 10/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-017-1691-y

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