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Quantum Information Processing
Erschienen in: Quantum Information Processing 9/2020

01.08.2020

Incoherent quantum algorithm dynamics of an open system with near-term devices

verfasst von: Mahmoud Mahdian, H. Davoodi Yeganeh

Erschienen in: Quantum Information Processing | Ausgabe 9/2020

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Abstract

Hybrid quantum-classical algorithms are among the most promising systems to implement quantum computing under the Noisy-Intermediate Scale Quantum (NISQ) technology. In this paper, at first, we investigate a quantum dynamics algorithm for the density matrix obeying the von Neumann equation using an efficient Lagrangian-based approach. And then, we consider the dynamics of the ensemble-averaged of disordered quantum systems which is described by Hamiltonian ensemble with a hybrid quantum-classical algorithm. In a recent work (Chen et al. in Phys Rev Lett 120:030403, 2018), the authors concluded that the dynamics of an open system could be simulated by a Hamiltonian ensemble because of nature of the disorder average. We investigate our algorithm to simulating incoherent dynamics (decoherence) of open system using an efficient variational quantum circuit in the form of master equations. Despite the non-unitary evolution of open systems, our method is applicable to a wide range of problems for incoherent dynamics with the unitary quantum operation.
Vorheriger Artikel Novel quantum image compression and encryption algorithm based on DQWT and 3D hyper-chaotic Henon map
Nächster Artikel Sustained charge-echo entanglement in a two charge qubits under random telegraph noise

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Literatur
1.
Feynman, R.P.: Simulating physics with computers. Int. J. Theor. Phys. 21, 467 (1982)MathSciNet
2.
Aram, A.H., Harrow, W., Lloyd, S.: Quantum algorithm for linear systems of equations. Phys. Rev. Lett. 103, 150502 (2009)MathSciNet
3.
Alidoust, N., Bestwick, A., Block, M., Bloom, B., Caldwell, S., Didier, N., Schuyler Fried, E., Hong, S., Karalekas, P., Osborn, C.B., Papageorge, A., Peterson, E.C., Prawiroatmodjo, G., Rubin Colm, N., Ryan, A., Scarabelli, D., Scheer, M., Sete, E.A., Sivarajah Robert, P., Smith, S., Staley, A., Tezak, N., Zeng, W.J., Hudson Blake, A., Johnson, R., Reagor, M., da Silva, M.P., Rigetti, C., Otterbach, J.S., Manenti, R.: Unsupervised machine learning on a hybrid quantum computer (2017). arXiv:​1712.​05771 [quant-ph]
4.
Shadbolt, P., Yung, M., Zhou, X., Love, P.J., Aspuru-Guzik, A., Peruzzo, A., McClean, J., O’Brien, J.L.: A variational eigenvalue solver on a photonic quantum processor. Nat. Commun. 5, 4213 (2014)ADS
5.
6.
Hastin gs, M.B., Wecker, D., Troyer, M.: Towards practical quantum variational algorithms. Phys. Rev. A 92, 042303 (2015)ADS
7.
Babbush, R., McClean, J.R., Rom ero, J., Aspuru-Guzik, A.: The theory of variational hybrid quantum-classical algorithms. New J. Phys. 18, 023023 (2016)
8.
Cho, J., Angelakis, D.G., Bose, S.: Fractional quantum hall state in coupled cavities. Phys. Rev. Lett. 101(24), 246809 (2008)ADS
9.
Trabesinger, A.: Quantum simulation. Nat. Phys. 8(4), 263 (2012)
10.
Georgescu, I.M., Ashhab, S., Nori, F.: Quantum simulation. Rev. Mod. Phys. 86, 153–185 (2014)ADS
11.
Preskill, J.: Quantum computing in the nisq era and beyond. Quantum 2, 79 (2018)
12.
Kadowaki, T., Nishimori, H.: Quantum annealing in the transverse Ising model. Phys. Rev. E 58, 5355 (1998)ADS
13.
Sebenik, C., Sten-son, C., Finnila, A.B., Gomez, M.A., Doll, J.D.: Quantum annealing: a new method for minimizing multidimensional functions. Chem. Phys. Lett. 219, 343 (1994)ADS
14.
15.
Babbush, A.A.-G.R., Love, P.J.: Adiabatic quantum simulation of quantum chemistry. Sci. Rep. 4, 6603 (2014)
16.
Temme, K., Takita-M, M., Brink, J., Chow, M., Kandala, A., Mezzacapo, A., Gambetta, J.M.: A variational eigenvalue solver on a photonic quantum processor. Nature 549, 242 (2017)ADS
17.
18.
O’Neel-Judy, É., Cincio, L., LaRose, R., Tikku, A., Coles, P.J.: Variational quantum state diagonalization. npj Quantum Inf. 5, 57 (2019)
19.
Economou, S.E., Barnes, E., Grimsley, H.R., Mayhall, N.J.: An adaptive variational algorithm for exact molecular simulations on a quantum computer. Nat. Commun. 10, 1 (2019)
20.
Nakagawa, Y., Mitarai-K, O., Yoshioka, N., Fujii, K.: Variational quantum algorithm for non-equilibrium steady states (2019). arXiv:​1908.​09836 [quant-ph]
21.
Gheorghiu, V., Nash, B., Mosca, M.: Quantum circuit optimizations for nisq architectures. Quantum Sci. Technol. 5, 2 (2020)
22.
Joo, J., Moinier, P., Kiffner, M., Jaksch, D., Lubasch, M.: Variational quantum algorithms for nonlinear problems. Phys. Rev. A 101, 010301 (2020)
23.
24.
25.
Jones, T., Endo, S., Li, Y., Benjamin, S.C., McArdle, S., Yuan, X.: Variational ansatz-based quantum simulation of imaginary time evolution. npj Quantum Inf. 5, 1–6 (2019)
26.
Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH
27.
Rivas, A., Huelga, S.F.: Open quantum systems, vol. 13. Springer, Berlin (2012)MATH
28.
Weiss, U.: Quantum dissipative systems, vol. 13. World Scientific (2012)
29.
Prosen, T., Ilievski, E.: Exact nonequilibrium steady state of a strongly driven open xxz chain. arXiv:​1801.​00862 [quant-ph], 107:060403 (2011)
30.
31.
Polkovnikov, A.S.A., Sengupta, K., Vengalattore, M.: Colloquium: nonequilibrium dynamics of closed interacting quantum systems. Rev. Mod. Phys. 83, 863 (2011)ADS
32.
Breuer, H.-P., Petruccione, F., et al.: The Theory of Open Quantum Systems. Oxford University Press on Demand (2002)
33.
Gardiner, C., Zoller, P.: Quantum noise: a handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics. Springer Science & Business Media, Berlin, Newyork (2004)
34.
Breuer, J.P.H.-P., Laine, E.-M., Vacchini, B.: Colloquium: non-Markovian dynamics in open quantum systems. Rev. Mod. Phys. 88, 021002 (2016)ADS
35.
de Vega, I., Alonso, D.: Dynamics of non-Markovian open quantum systems. Rev. Mod. Phys. 89, 015001 (2017)ADSMathSciNet
36.
Rivas, A., Huelga, S.F., Plenio, M.B.: Quantum non-Markovianity: characterization, quantification and detection. Rep. Prog. Phys. 77(9), 094001 (2014)ADSMathSciNet
37.
38.
Kossakowski, A., Gorini, V., Sudarshan, E.C.G.: Completely positive dynamical semigroups of n level systems. J. Math. Phys. 17, 821 (1976)ADSMathSciNet
39.
Giamarchi, T., Dalla, E.G., Torre, E.D., Altman, E.: Quantum critical states and phase transitions in the presence of non-equilibrium noise. Nat. Phys. 6, 806–810 (2010)
40.
Marino, J., Dieh, S.: Quantum dynamical field theory for nonequilibrium phase transitions in driven open systems. Phys. Rev. B. 94, 085150 (2016)ADS
41.
Scott, J.J., Ru, Z., et al.: Contextuality from Quantum Physics to Psychology, vol. 6. World Scientific, Singapore (2015)MATH
42.
Mohseni, M., Omar, Y., Engel, G.S., Plenio, M.B.: Quantum Effects in Biology. Cambridge University Press, Cambridge (2014)
43.
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., Yamato, I.: Quantum information biology: from information interpretation of quantum mechanics to applications in molecular biology and cognitive psychology. Found. Phys. 45(10), 1362–1378 (2015)ADSMathSciNetMATH
44.
Lambert, N., Chen, Y.-N., Cheng, Y.-C., Li, C.-M., Chen, G.-Y., Nori, F.: Quantum biology. Nat. Phys. 9(1), 10–18 (2013)
45.
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., Yamato, I.: A model of epigenetic evolution based on theory of open quantum systems. Syst. Synth. Biol. 7(4), 161–173 (2013)
46.
Bloch, I., Serbyn, M., Abanin, D.A., Altman, E.: Colloquium: many-body localization, thermalization, and entanglement. Rev. Mod. Phys. 91, 021001 (2019)ADSMathSciNet
47.
Hillery, M., Ziman, M., Bužek, V.: Implementation of quantum maps by programmable quantum processors. Phys. Rev. A 66(4), 042302 (2002)ADSMATH
48.
Bacon, D., Childs, A.M., Chuang, I.L., Kempe, J., Leung, D.W., Zhou, X.: Universal simulation of Markovian quantum dynamics. Phys. Rev. A 64(6), 062302 (2001)ADS
49.
Ziman, M., Štelmachovič, P., Bužek, V.: Description of quantum dynamics of open systems based on collision-like models. J. Open Syst. Inf. Dyn. 12(1), 81–91 (2005)MathSciNetMATH
50.
51.
Koniorczyk, M., Bužek, V., Adam, P.: Simulation of generators of Markovian dynamics on programmable quantum processors. J. Eur. Phys. D 37(2), 275–281 (2006)ADS
52.
Wang, D.-S., Berry, D.W., de Oliveira, M.C., Sanders, B.C.: Solovay-kitaev decomposition strategy for single-qubit channels. Phys. Rev. Lett. 111(13), 130504 (2013)ADS
53.
Wei, R.D., J, S., Long, G.-L.: Duality quantum algorithm efciently simulates open quantum systems. Sci. Rep. 6, 30727 (2016)ADS
54.
Wei, S.-J., Xin, T., Long, G.-L.: Efcient universal quantum channel simulation in IBM’s cloud quantum computer. Sci. China Phys. Mech. Astron. 61, 70311 (2018)
55.
Li, Y., Benjamin, S.C.: Efficient variational quantum simulator incorporating active error minimization. Phys. Rev. X 7(2), 021050 (2017)
56.
McArdle, S., Jones, T., Endo, S., Li, Y., Benjamin, S.C., Yuan, X.: Variational ansatz-based quantum simulation of imaginary time evolution. npj Quantum Inf. 5(1), 1–6 (2019)
57.
Low, G.H., Chuang, I.L.: Optimal Hamiltonian simulation by quantum signal processing. Phys. Rev. Lett. 118(1), 010501 (2017)ADSMathSciNet
58.
Babbush, R., Berry, D.W., Sanders, Y.R., Kivlichan, I.D., Scherer, A., Wei, A.Y., Love, P.J., Aspuru-Guzik, A.: Exponentially more precise quantum simulation of fermions in the configuration interaction representation. Quantum Sci. Technol. 3(1), 015006 (2017)ADS
59.
Berry, D.W., Childs, A.M., Cleve, R., Kothari, R., Somma, R.D.: Simulating Hamiltonian dynamics with a truncated Taylor series. Phys. Rev. Lett. 114(9), 090502 (2015)ADS
60.
Low, G.H., Chuang, I.L.: Hamiltonian simulation by qubitization. Quantum 3, 163 (2019)
61.
Zixuan, H., Xia, R., Kais, S.: A quantum algorithm for evolving open quantum dynamics on quantum computing devices. Sci. Rep. 10(1), 1–9 (2020)
62.
Chen, H.-B., Gneiting, C., Lo, P.Y., Chen, Y.N., Nori, F.: Simulating open quantum systems with Hamiltonian ensembles and the nonclassicality of the dynamics. Phys. Rev. Let. 120, 030403 (2018)ADS
63.
Anderson, P.W.: A variational eigenvalue solver on a photonic quantum processor. Phys. Rev. 109, 1492 (1958)ADS
64.
Kropf, C.M., Gneiting, C., Buchleitner, A.: Effective dynamics of disordered quantum systems. Phys. Rev. X 6(3), 031023 (2016)
65.
Kassal, A.P.-O.M.-H.Y.I., Whitfield, J.D., Aspuru-Guzik, A.: Simulating chemistry using quantum computers. Annu. Rev. Phys. Chem. 62, 185 (2011)ADS
66.
Lambert, Y.-C.C.C.-M.L.G.-Y.C.F.N.N., Chen, Y.-N.: Quantum biology. Nat. Phys. 9, 10–18 (2013)
67.
Li, Y., Benjamin, S.C.: Efficient variational quantum simulator incorporating active error minimization. Phys. Rev. X 7, 021050 (2017)
68.
da Providkia, J., Fiolhais, C.: Variational formulation of the Vlasov equation. J. Phys. A Math. Gen. 20(12), 3877 (1987)ADS
69.
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80(10), 2245 (1998)ADSMATH
Metadaten
Titel
Incoherent quantum algorithm dynamics of an open system with near-term devices
verfasst von
Mahmoud Mahdian
H. Davoodi Yeganeh
Publikationsdatum
01.08.2020
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 9/2020
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02800-8

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