Non-Markovian dynamics of a qubit

Maniscalco, Sabrina; Petruccione, Francesco

doi:10.1103/PHYSREVA.73.0

Title: Non-Markovian dynamics of a qubit

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Abstract

In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the recently proposed post-Markovian master equation [A. Shabani and D. A. Lidar, Phys. Rev. A 71, 020101(R) (2005)] and we study the dynamics for an exponentially decaying memory kernel. We compare the solution of the post-Markovian master equation with the solution of the typical memory kernel master equation. Our results lead to a new physical interpretation of the reservoir correlation function and bring to light the limits of usability of master equations with memory for the system under consideration.

Authors:

Maniscalco, Sabrina ^[1]; Petruccione, Francesco ^[2]

Department of Physics, University of Turku, FI-20014 Turku (Finland)
School of Physics, University of KwaZulu-Natal, Durban 4041 (South Africa)

Publication Date:: Sun Jan 15 00:00:00 EST 2006

OSTI Identifier:: 20786643

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.012111; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS; COMPARATIVE EVALUATIONS; CORRELATION FUNCTIONS; EQUATIONS; KERNELS; MARKOV PROCESS; QUANTUM COMPUTERS; QUBITS

Citation Formats


                    Maniscalco, Sabrina, and Petruccione, Francesco. Non-Markovian dynamics of a qubit.  United States: N. p., 2006. 
        Web.  doi:10.1103/PHYSREVA.73.0.

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                    Maniscalco, Sabrina, & Petruccione, Francesco. Non-Markovian dynamics of a qubit.  United States.  https://doi.org/10.1103/PHYSREVA.73.0

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                    Maniscalco, Sabrina, and Petruccione, Francesco. 2006.  
        "Non-Markovian dynamics of a qubit".  United States.  https://doi.org/10.1103/PHYSREVA.73.0.

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@article{osti_20786643,

  title        = {Non-Markovian dynamics of a qubit},

  author       = {Maniscalco, Sabrina and Petruccione, Francesco},

  abstractNote = {In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the recently proposed post-Markovian master equation [A. Shabani and D. A. Lidar, Phys. Rev. A 71, 020101(R) (2005)] and we study the dynamics for an exponentially decaying memory kernel. We compare the solution of the post-Markovian master equation with the solution of the typical memory kernel master equation. Our results lead to a new physical interpretation of the reservoir correlation function and bring to light the limits of usability of master equations with memory for the system under consideration.},

  doi          = {10.1103/PHYSREVA.73.0},

  url          = {https://www.osti.gov/biblio/20786643},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 1,

  volume       = 73,

  place        = {United States},

  year         = {Sun Jan 15 00:00:00 EST 2006},

  month        = {Sun Jan 15 00:00:00 EST 2006}

}

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