Decoherence in qubits due to low-frequency noise

The efficiency of the future devices for quantum information processing will be limited mostly by the finite decoherence rates of the qubits. Recently, substantial progress was achieved in enhancing the time within which a solid-state qubit demonstrates coherent dynamics. This progress is based mostly on a successful isolation of the qubits from external decoherence sources. Under these conditions, the material-inherent sources of noise start to play a crucial role. In most cases, the noise that the quantum device demonstrates has a 1/f spectrum. This suggests that the environment that destroys the phase coherence of the qubit can be thought of as a system of two-state fluctuators, which experience random hops between their states. In this short review, the current state of the theory of the decoherence due to the qubit interaction with the fluctuators is discussed. The effect of such an environment on two different protocols of the qubit manipulations, free induction and echo signal, is described. It turns out that in many important cases the noise produced by the fluctuators is non-Gaussian. Consequently, the results of the interaction of the qubit with the fluctuators are not determined by the pair correlation function alone. We describe the effect of the fluctuators using the so-called spin-fluctuator model. Being quite realistic, this model allows one to exactly evaluate the qubit dynamics in the presence of one fluctuator. This solution is found, and its features, including non-Gaussian effects, are analyzed in detail. We extend this consideration to systems of large numbers of fluctuators, which interact with the qubit and lead to the 1/f noise. We discuss existing experiments on the Josephson qubit manipulation and try to identify non-Gaussian behavior.

• Publication year

  2009

• Venue

  New Journal of Physics

• Publication date

  2009-02-01

• Fields of study

  Physics

• Identifiers
  DOI 10.1088/1367-2630/11/2/025002arXiv 0904.4597
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Decoherence by Quantum Telegraph Noise

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  2008cited by this paper
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• Microscopic origin of low-frequency flux noise in josephson circuits.

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• Probing noise in flux qubits via macroscopic resonant tunneling.

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• 1/f Flux noise in Josephson phase qubits.

  2007cited by this paper
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  2007cited by this paper
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  2007cited by this paper
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  2006cited by this paper
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  2006cited by this paper
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  2006cited by this paper
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  2006cited by this paper
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  2006cited by this paper
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  2006cited by this paper
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  2005cited by this paper
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  2005cited by this paper
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  2005cited by this paper
• Non-Gaussian low-frequency noise as a source of qubit decoherence.

  2005cited by this paper
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  2004cited by this paper
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  2004cited by this paper
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  2004cited by this paper
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  2004cited by this paper
• Low- and high-frequency noise from coherent two-level systems.

  2004cited by this paper
• Initial decoherence in solid state qubits.

  2004cited by this paper
• Quantum noise in the josephson charge qubit.

  2004cited by this paper
• Single-shot measurement of the Josephson charge qubit

  2004cited by this paper
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  2003cited by this paper
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  2003cited by this paper
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  2003cited by this paper
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  2003cited by this paper
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  2002cited by this paper
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  2002cited by this paper
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  2001cited by this paper
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  2001cited by this paper
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  2000cited by this paper
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  1999cited by this paper
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  1999cited by this paper
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  1996cited by this paper
• Electronic noise and fluctuations in solids

  1996cited by this paper
• Background charge noise in metallic single-electron tunneling devices.

  1996cited by this paper
• Resonant tunneling in the presence of a two-level fluctuator: Average transparency.

  1994cited by this paper
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  1994cited by this paper
• Flicker noise induced by dynamic impurities in a quantum point contact.

  1994cited by this paper
• Random telegraph-switching noise in coplanar current measurements of amorphous silicon.

  1991cited by this paper
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  1991cited by this paper
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  1989cited by this paper
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  1988cited by this paper
• Low‐frequency noise in dc superconducting quantum interference devices below 1 K

  1987cited by this paper
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  1985cited by this paper
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  1985cited by this paper
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  1984cited by this paper
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  1984cited by this paper
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  1984cited by this paper
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  1983cited by this paper
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  1983cited by this paper
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  1978cited by this paper
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  1978cited by this paper
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  1977cited by this paper
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  1972cited by this paper
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  1972cited by this paper
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  1970cited by this paper
• Electron paramagnetic resonance.

  1966cited by this paper
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  1962cited by this paper
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  2017cites this paper
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  2017cites this paper
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  2016cites this paper
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  2016cites this paper
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