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Related papers: Detecting non-Markovianity via uncertainty relatio…

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In this Letter, we show that the fulfillment of uncertainty relations is a sufficient criterion for a quantum-mechanically permissible state. We specifically construct two pseudo-spin observables for an arbitrary non-positive Hermitian…

Quantum Physics · Physics 2009-11-13 Hyunchul Nha , M. Suhail Zubairy

We study a quantum walker on a one-dimensional lattice with a single defect site characterized by a phase. The spread and localization of discrete-time quantum walks starting at the impurity site are affected by the appearance of bound…

Quantum Physics · Physics 2019-05-10 B. Danacı , G. Karpat , İ. Yalçınkaya , A. L. Subaşı

Uncertainty relations are usually formulated as trade-off relations between two or more observables. Here we show that the uncertainty of a single observable already has a nontrivial lower bound originating from the noncommutativity between…

Quantum Physics · Physics 2026-05-27 Haruki Yamashita , Aina Mayumi , Gen Kimura

We explore the connection between two recently introduced notions of non-Markovian quantum dynamics and the validity of the so-called quantum regression theorem. While non-Markovianity of a quantum dynamics has been defined looking at the…

Quantum Physics · Physics 2014-08-27 Giacomo Guarnieri , Andrea Smirne , Bassano Vacchini

Non-Markovian quantum effects are typically observed in systems interacting with structured reservoirs. Discrete-time quantum walks are prime example of such systems in which, quantum memory arises due to the controlled interaction between…

Quantum Physics · Physics 2018-07-18 N. Pradeep Kumar , Subhashish Banerjee , C. M. Chandrashekar

The interpretation of non-Markovian effects as due to the information exchange between an open quantum system and its environment has been recently formulated in terms of properly regularized entropic quantities, as their revivals in time…

Quantum Physics · Physics 2022-07-14 Andrea Smirne , Nina Megier , Bassano Vacchini

The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a…

Quantum Physics · Physics 2022-10-26 Dong Wang , Ai-Jun Huang , Ross D. Hoehn , Fei Ming , Wen-Yang Sun , Jia-Dong Shi , Liu Ye , Sabre Kais

We evaluate exactly the non-Markovian effect on the decoherence dynamics of a qubit interacting with a dissipative vacuum reservoir and find that the coherence of the qubit can be partially trapped in the steady state when the memory effect…

Quantum Physics · Physics 2015-05-13 Qing-Jun Tong , Jun-Hong An , Hong-Gang Luo , C. H. Oh

We study the non-Markovianity of the dynamics of open quantum systems focusing on the cases of independent and common environmental interactions. We investigate the degree of non-Markovianity quantified by two distinct measures proposed by…

Quantum Physics · Physics 2013-08-22 Felipe F. Fanchini , Goktug Karpat , Leonardo K. Castelano , Daniel Z. Rossatto

We investigate the ability of correlation measures to witness non-Markovian open quantum system dynamics. It is shown that the mutual information and any entanglement measure between the system and an ancilla do not witness all…

Quantum Physics · Physics 2019-11-12 Dario De Santis , Markus Johansson , Bogna Bylicka , Nadja K. Bernardes , Antonio Acín

Measures characterizing the non-Markovianity degree of the quantum dynamics have several drawbacks when applied to real devices. They depend on the chosen measurement time interval and are highly sensitive to experimental noise and errors.…

The degree of non-Markovianity of quantum processes has been characterized in several different ways in the recent literature. However, the relationship between the non-Markovian behavior and the flow of information between the system and…

In this work we study the non-Markovian behaviour of a qubit coupled to an environment in which the corresponding classical dynamics change from integrable to chaotic. We show that in the transition region, where the dynamics has both…

Quantum Physics · Physics 2014-03-03 I. Garcia-Mata , Carlos Pineda , Diego A. Wisniacki

By use of the two measures presented recently, the indivisibility and the backflow of information, we study the non-Markovianity of the dynamics for a two-level system interacting with a zero-temperature structured environment without using…

Quantum Physics · Physics 2015-06-05 Hao-Sheng Zeng , Ning Tang , Yan-Ping Zheng , Tian-Tian Xu

We present a formulation of non-Markovian quantum trajectories for open systems from a measurement theory perspective. In our treatment there are three distinct ways in which non-Markovian behavior can arise; a mode dependent coupling…

Quantum Physics · Physics 2009-10-31 M. W. Jack , M. J. Collett , D. F. Walls

By employing the full counting statistics formalism, we characterize the first moment of energy that is exchanged during a generally non-Markovian evolution in non-driven continuous variables systems. In particular, we focus on the…

Understanding whether the features of open quantum dynamics are genuinely quantum remains a central challenge in quantum dynamics. Even though the non-Markovian behavior of quantum dynamics has been widely investigated across different…

Quantum Physics · Physics 2026-04-09 Rajeev Gangwar , Ujjwal Sen

We investigate the domain of correlated non-Markovian channels, exploring the potential memory arising from the correlated action of channels and the inherent memory due to non-Markovian dynamics. The impact of channel correlations is…

Quantum Physics · Physics 2024-08-01 Vivek Balasaheb Sabale , Nihar Ranjan Dash , Atul Kumar , Subhashish Banerjee

We develop an analytical model for describing the dynamics of a donor-based charge quantum bit (qubit). As a result, the quantum decoherence of the qubit is analytically obtained and shown to reveal non-Markovian features: The decoherence…

Quantum Physics · Physics 2015-05-19 F Lastra , S Reyes , S Wallentowitz

In this paper, we study both open-loop control and closed-loop measurement feedback control of non-Markovian quantum dynamics arising from the interaction between a quantum system and its environment. We use the widely studied cavity…

Quantum Physics · Physics 2026-04-14 Haijin Ding , Nina H. Amini , John E. Gough , Guofeng Zhang