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Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System

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arxiv 2210.09268 v1 pith:LARBC6IN submitted 2022-10-17 hep-th cond-mat.stat-mechcond-mat.str-elquant-ph

Arpan Bhattacharyya , Tanvir Hanif , S. Shajidul Haque , Arpon Paul This is my paper · ORCID
classification hep-thcond-mat.stat-mechcond-mat.str-elquant-ph
keywords complexitysaturationtimeentanglemententropylinearmodelnegativity
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In this paper, we compare the saturation time scales for complexity, linear entropy and entanglement negativity for two open quantum systems. Our first model is a coupled harmonic oscillator, where we treat one of the oscillators as the bath. The second one is a type of Caldeira Leggett model, where we consider a one-dimensional free scalar field as the bath. Using these open quantum systems, we discovered that both the complexity of purification and the complexity from operator state mapping is always saturated for a completely mixed state. More explicitly, the saturation time scale for both types of complexity is smaller than the saturation time scale for linear entropy. On top of this, we found that the saturation time scale for linear entropy and entanglement negativity is of the same order for the Caldeira Leggett model.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Geometry of Quantum Complexity in Open Systems

    quant-ph 2026-07 conditional novelty 7.0 of 10

    Open-system quantum complexity is governed by a sub-Finslerian geometry whose curvature depends on the cost penalties for unitary and dissipative controls.

  2. A Landscape of Cosmological Decoherence

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by...

  3. Probing the self-coherence of primordial quantum fluctuations with complexity

    hep-th 2025-02 conditional novelty 5.0 of 10

    Complexity of formation, unlike complexity of purification, shows distinct and timescale-matching signatures of both decoherence and recoherence in a Gaussian two-field de Sitter model.

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