Decoherence, Entanglement Negativity and Circuit Complexity for Open
Quantum System
- URL: http://arxiv.org/abs/2210.09268v1
- Date: Mon, 17 Oct 2022 17:19:01 GMT
- Title: Decoherence, Entanglement Negativity and Circuit Complexity for Open
Quantum System
- Authors: Arpan Bhattacharyya, Tanvir Hanif, S. Shajidul Haque, Arpon Paul
- Abstract summary: We compare the saturation time scales for complexity, linear entropy and entanglement negativity for two open quantum systems.
More explicitly, the saturation time scale for both types of complexity is smaller than the saturation time scale for linear entropy.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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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