Quantum non-Markovianity: Overview and recent developments
- URL: http://arxiv.org/abs/2303.12362v1
- Date: Wed, 22 Mar 2023 07:54:58 GMT
- Title: Quantum non-Markovianity: Overview and recent developments
- Authors: U. Shrikant and Prabha Mandayam
- Abstract summary: In the current era of noisy intermediate-scale quantum (NISQ) devices, research in the theory of open system dynamics has a crucial role to play.
This review is to address the fundamental question of defining and characterizing memory effects -- broadly referred to as quantum non-Markovianity.
- Score: 2.122752621320654
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In the current era of noisy intermediate-scale quantum (NISQ) devices,
research in the theory of open system dynamics has a crucial role to play. In
particular, understanding and quantifying memory effects in quantum systems is
critical to gain a better handle on the effects of noise in quantum devices.
The main focus of this review is to address the fundamental question of
defining and characterizing such memory effects -- broadly referred to as
quantum non-Markovianity -- from various approaches. We first discuss the
two-time-parameter maps approach to open system dynamics and review the various
notions of quantum non-Markovianity that arise in this paradigm. We then
discuss an alternate approach to quantum stochastic processes based on the
quantum combs framework, which accounts for multi-time correlations. We discuss
the interconnections and differences between these two paradigms, and conclude
with a discussion on necessary and sufficient conditions for quantum
non-Markovianity.
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