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This thesis is devoted to the study of quantum mechanical effects that arise in systems of reduced dimensionality. Specifically, we investigate coherence and correlation effects in quantum transport models. In the first part, we present a…

Mesoscale and Nanoscale Physics · Physics 2012-03-12 David Marcos

I present an approach to calculate the finite-frequency quantum noise in systems strongly coupled to structured reservoirs based on the Markovian embedding. This technique consists of mapping of the non-Markovian dynamics of the original…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Krzysztof Ptaszynski

The fluctuations of electrical current provide information on the dynamics of electrons in quantum devices. Understanding the nature of these fluctuations in a quantum dot is thus a crucial step insofar as this system is the elementary…

Mesoscale and Nanoscale Physics · Physics 2018-10-08 A. Crépieux , S. Sahoo , T. Q. Duong , R. Zamoum , M. Lavagna

We study electronic transport through a quantum dot in the Fermi-edge singularity regime, placing emphasis on its non-Markovian attributes. These are quantified by the behavior of current noise as well as trace-distance-based measure of…

Mesoscale and Nanoscale Physics · Physics 2012-12-05 Katarzyna Roszak , Tomáš Novotný

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information…

Current quantum noise can be pictured as a sum over transitions through which the electronic system exchanges energy with its environment. We formulate this picture and use it to show which type of current correlators are measurable, and in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Gavish , Y. Imry , Y. Levinson

We develop a general perturbative computation of finite-frequency quantum noise which applies, in particular, to both good or weakly transmitting strongly correlated conductors coupled to a generic environment. Under a minimal set of…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Benjamin Roussel , Pascal Degiovanni , Inès Safi

In the scale-up of quantum computers, the framework underpinning fault-tolerance generally relies on the strong assumption that environmental noise affecting qubit logic is uncorrelated (Markovian). However, as physical devices progress…

Non-Markovian dynamics of two interacting two-level qubits coupled to a bosonic bath was previously studied using the quantum-state-diffusion (QSD) equation, where a stochastic state is used to describe the system. In this study, we provide…

Quantum Physics · Physics 2015-07-29 Tai-Yin Chiu

Quantum dynamics simulation on analog quantum simulators and digital quantum computer platforms has emerged as a powerful and promising tool for understanding complex non-equilibrium physics. However, the impact of quantum noise on the…

Quantum Physics · Physics 2025-12-10 Yu-Qin Chen , Shi-Xin Zhang , Shengyu Zhang

In non-Markovian systems, the current state of the system depends on the full or partial history of its past evolution. Owing to these time correlations, non-Markovian noise violates common assumptions in gate characterization protocols…

Quantum Physics · Physics 2025-02-21 Srilekha Gandhari , Michael J. Gullans

We investigate the non-Markovian characteristics in continuous measurement of a charge qubit by a quantum point contact. The backflow of information from the reservoir to the system in the non-Markovian domain gives rise to strikingly…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 JunYan Luo , HuJun Jiao , Xiao-Li Lang , BiTao Xiong , Xiao-Ling He

Every quantum system is coupled to an environment. Such system-environment interaction leads to temporal correlation between quantum operations at different times, resulting in non-Markovian noise. In principle, a full characterisation of…

Quantum Physics · Physics 2021-09-01 K. Goswami , C. Giarmatzi , C. Monterola , S. Shrapnel , J. Romero , F. Costa

Quantum error mitigation (QEM) has been proposed as an alternative method of quantum error correction to compensate errors in quantum systems without qubit overhead. While Markovian gate errors on digital quantum computers have been mainly…

Quantum Physics · Physics 2021-02-09 Hideaki Hakoshima , Yuichiro Matsuzaki , Suguru Endo

Beyond the conventional quantum regression theorem, a general formula for non-Markovian correlation functions of arbitrary system operators both in the time- and frequency-domain is given. We approach the problem by transforming the…

Quantum Physics · Physics 2016-09-21 Jinshuang Jin , Christian Karlewski , Michael Marthaler

Understanding the noise characteristics of quantum processors is crucial when achieving fault-tolerant quantum computing. However, typical qubit designs are often studied under the Markovian approximation, which does not fully capture…

Quantum Physics · Physics 2025-10-21 Chun-Tse Li , Jingming Tan , Vasil Gucev , Daniel Lidar

In this paper, we investigate non-Markovian quantum dynamics from the perspective of quantum noises in a network of atoms mediated by a waveguide. In such networks, quantum coherent feedback control becomes achievable when coherent fields…

Quantum Physics · Physics 2026-04-14 Haijin Ding , Guofeng Zhang

We address the non-Markovian character of quantum maps describing the interaction of a qubit with a random classical field. In particular, we evaluate trace- and capacity-based non-Markovianity measures for two relevant classes of…

Quantum Physics · Physics 2014-03-07 C. Benedetti , M. G. A. Paris , S. Maniscalco

Quantum Markov models are employed ubiquitously in quantum physics and in quantum information theory due to their relative simplicity and analytical tractability. In particular, these models are known to give accurate approximations for a…

Quantum Physics · Physics 2024-02-02 Hendra I. Nurdin

We derive the symmetrized current-noise spectrum of a quantum dot, which is weakly tunnel-coupled to an electron reservoir and driven by a slow time-dependent gate voltage. This setup can be operated as an on-demand emitter of single…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Niklas Dittmann , Janine Splettstoesser
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