Classification of Classical Non-Gaussian Noises with Respect to Their Detrimental Effects on the Evolution of Entanglement Using a System of Three-Qubit as Probe

A system of three non-interacting qubits is used as a quantum probe to classify three classical non-Gaussian noises namely, the static noise (SN), colored noise (pink and brown spectrum) and random telegraph noise (RTN), according to their detrimental effects on the evolution of entanglement of the latter. The probe system is initially prepared in the GHZ state and coupled to the noises in independent environments. Seven configurations for the qubit-noise coupling (QNC) are considered. To estimate the destructive influence of each kind of noise, the tripartite negativity is employed to compare the evolution of entanglement in these QNC configurations to each other with the same noise parameters. It is shown that the evolution of entanglement is drastically impacted by the QNC configuration considered as well as the properties of the environmental noises and that the SN is more detrimental to the survival of entanglement than the RTN and colored noise, regardless of the Markov or non-Markov character of the RTN and the spectrum of the colored noise. On the other hand, it is shown that pink noise is more fatal to the system than the RTN and that the situation is totally reversed in the case of brown noise. Finally, it is demonstrated that these noises, in descending order of destructive influence, can be classified as follows: SN > pink noise > RTN > brown noise.

[1]  G. Falci,et al.  Initial decoherence in solid state qubits. , 2005, Physical review letters.

[2]  Martin Tchoffo,et al.  Dynamical evolution of entanglement of a three-qubit system driven by a classical environmental colored noise , 2018, Quantum Inf. Process..

[3]  Rosario Fazio,et al.  Decoherence and 1/f noise in Josephson qubits. , 2002, Physical review letters.

[4]  L. C. Fai,et al.  Dynamics of entanglement and state-space trajectories followed by a system of four-qubit in the presence of random telegraph noise: common environment (CE) versus independent environments (IEs) , 2017, 1707.02762.

[5]  Pawel Horodecki,et al.  Distributed correlations and information flows within a hybrid multipartite quantum-classical system , 2015 .

[6]  Claudia Benedetti,et al.  EFFECT OF MARKOV AND NON-MARKOV CLASSICAL NOISE ON ENTANGLEMENT DYNAMICS , 2012 .

[7]  L. C. Fai,et al.  Dynamics of tripartite quantum entanglement and discord under a classical dephasing random telegraph noise , 2017 .

[8]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[9]  Nicolas Gisin,et al.  Open system dynamics with non-markovian quantum trajectories , 1999 .

[10]  G. Vidal,et al.  Computable measure of entanglement , 2001, quant-ph/0102117.

[11]  Claudia Benedetti,et al.  Time-evolution of entanglement and quantum discord of bipartite systems subject to 1/fα noise , 2013, 2013 22nd International Conference on Noise and Fluctuations (ICNF).

[12]  E. Schrödinger.  Die gegenwärtige Situation in der Quantenmechanik , 1935, Naturwissenschaften.

[13]  Martin Tchoffo,et al.  Quantum correlations dynamics and decoherence of a three-qubit system subject to classical environmental noise , 2016 .

[14]  M. Horodecki,et al.  Quantum entanglement , 2007, quant-ph/0702225.

[15]  C. Sabín,et al.  A classification of entanglement in three-qubit systems , 2007, 0707.1780.

[16]  L. C. Fai,et al.  Decoherence and tripartite entanglement dynamics in the presence of Gaussian and non-Gaussian classical noise , 2017 .

[17]  G. Falci,et al.  Hidden entanglement, system-environment information flow and non-Markovianity , 2014, 1402.1948.

[18]  Charles H. Bennett,et al.  Quantum cryptography using any two nonorthogonal states. , 1992, Physical review letters.

[19]  Gautam Vemuri,et al.  Anderson localization with second quantized fields in a coupled array of waveguides , 2010 .

[20]  Paolo Bordone,et al.  Time evolution of tripartite quantum discord and entanglement under local and nonlocal random telegraph noise , 2013, 1302.1430.

[21]  S. Olivares,et al.  Continuous-variable-entanglement dynamics in structured reservoirs , 2009, 0910.2342.

[22]  L. C. Fai,et al.  Dynamics of tripartite quantum correlations in mixed classical environments: The joint effects of the random telegraph and static noises , 2017 .

[23]  Walter T. Strunz,et al.  Characterization of decoherence from an environmental perspective , 2010, 1012.4685.

[24]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[25]  W. Strunz,et al.  Quantum decoherence of two qubits , 2009, 0910.5364.

[26]  Dong Zhou,et al.  Suppression of decoherence and disentanglement by the exchange interaction , 2011 .

[27]  J. Paz,et al.  Dynamics of the entanglement between two oscillators in the same environment. , 2008, Physical review letters.

[28]  M. Lewenstein,et al.  Quantum Entanglement , 2020, Quantum Mechanics.

[29]  Engineering decoherence for two-qubit systems interacting with a classical environment , 2014, 1408.3010.

[30]  Guang-Can Guo,et al.  Experimental recovery of quantum correlations in absence of system-environment back-action , 2013, Nature Communications.

[31]  Fabio Sciarrino,et al.  Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics , 2014, Scientific Reports.

[32]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[33]  Claudia Benedetti,et al.  EFFECTS OF CLASSICAL ENVIRONMENTAL NOISE ON ENTANGLEMENT AND QUANTUM DISCORD DYNAMICS , 2012, 1209.4201.

[34]  H. Bechmann-Pasquinucci,et al.  Quantum cryptography , 2001, quant-ph/0101098.

[35]  Hermann Grabert,et al.  Exact c-number representation of non-Markovian quantum dissipation. , 2002, Physical review letters.

[36]  Robert Joynt,et al.  Classical simulation of quantum dephasing and depolarizing noise , 2014 .

[37]  M. G. A. Paris,et al.  Dynamics of quantum correlations in colored-noise environments , 2012, 1212.1484.

[38]  Dong Zhou,et al.  Disentanglement and decoherence from classical non-Markovian noise: random telegraph noise , 2009, Quantum Inf. Process..

[39]  Wayne Witzel,et al.  Converting a real quantum spin bath to an effective classical noise acting on a central spin , 2014 .