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We introduce a non-Markovianity measure for continuous variable open quantum systems based on the idea put forward in H.-P. Breuer et al., Phys. Rev. Lett.\textbf{103}, 210401 (2009), i.e., by quantifying the flow of information from the…

The non-Markovian depolarizing channel is explored from the perspective of understanding its non-Markovian behavior as well as the occurrence of singularities. The study brings together the various ways to identify and quantify…

量子物理 · 物理学 2025-03-05 Ali Abu-Nada , Subhashish Banerjee , Vivek Balasaheb Sabale

We introduce a method to construct non-Markovian variants of completely positive (CP) dynamical maps, particularly, qubit Pauli channels. We identify non-Markovianity with the breakdown in CP-divisibility of the map, i.e., appearance of a…

量子物理 · 物理学 2018-10-03 U. Shrikant , R. Srikanth , Subhashish Banerjee

Based on the nonincreasing property of quantum coherence via skew information under incoherent completely positive and trace-preserving maps, we propose a non-Markovianity measure for open quantum processes. As applications, by applying the…

量子物理 · 物理学 2020-01-08 Lian-He Shao , Yu-Ran Zhang , Yu Luo , Zhengjun Xi , Shao-Ming Fei

We propose an all-optical experiment to quantify non-Markovianity in an open quantum system through quantum coherence of a single quantum bit. We use an amplitude damping channel implemented by an optical setup with an intense laser beam…

In this paper we present a detailed critical study of several recently proposed non-Markovianity measures. We analyse their properties for single qubit and two-qubit systems in both pure-dephasing and dissipative scenarios. More…

量子物理 · 物理学 2016-09-20 C. Addis , B. Bylicka , D. Chruściński , S. Maniscalco

By revising the application of the open quantum system approach to the early universe and extending it to the conditions beyond the Markovian approximation, we obtain a new non-Markovian quantum Boltzmann equation. Throughout the paper, we…

宇宙学与河外天体物理 · 物理学 2021-10-04 Moslem Zarei , Nicola Bartolo , Daniele Bertacca , Angelo Ricciardone , Sabino Matarrese

We study the performance of two measures of non-Markovianity in detecting memory effects in two-qubit dephasing channels. By combining independent Markovian and non-Markovian noise on the qubits, our results show that the trace distance…

量子物理 · 物理学 2016-04-06 Antti Karlsson , Henri Lyyra , Elsi-Mari Laine , Sabrina Maniscalco , Jyrki Piilo

We present an extended collision model to simulate the dynamics of an open quantum system. In our model, the unit to represent the environment is, instead of a single particle, a block which consists of a number of environment particles.…

量子物理 · 物理学 2018-05-11 Jiasen Jin , Chang-shui Yu

We demonstrate a scaling method for non-Markovian Monte Carlo wave-function simulations used to study open quantum systems weakly coupled to their environments. We derive a scaling equation, from which the result for the expectation values…

量子物理 · 物理学 2009-11-10 J. Piilo , S. Maniscalco , A. Messina , F. Petruccione

We provide a quantitative evaluation of non-Markovianity (NM) for an XX chain of interacting qubits with one end coupled to a reservoir. The NM of several non-Markovian spectral densities is assessed in terms of various quantum state…

量子物理 · 物理学 2023-08-09 G. Mouloudakis , I. Stergou , P. Lambropoulos

Quantum channels generally reduce the distinguishability of quantum states, limiting information transmission and processing. Previous work introduced a protocol capable of increasing the distinguishability of states after the action of a…

量子物理 · 物理学 2026-05-08 Gabriel M. Arantes , Barbara Amaral , Nadja K. Bernardes

The archetypal one-qubit noisy channels ---depolarizing, phase-damping and amplitude-damping channels--- describe both Markovian and non-Markovian evolution. Simple microscopic models for the depolarizing channel, both classical and…

量子物理 · 物理学 2012-11-12 K. M. Fonseca Romero , R. Lo Franco

One of the most important topics in the study of the dynamics of open quantum system is information exchange between system and environment. Based on the features of a back-flow information from an environment to a system, an approach is…

量子物理 · 物理学 2015-09-23 S. Haseli , S. Salimi , A. S. Khorashad

Open quantum systems are ubiquitous in nature and central to quantum technologies. A common description of their dynamics is given by the celebrated Lindblad master equation, which can be generalized to the non-Markovian scenario. In this…

量子物理 · 物理学 2025-01-15 Miralem Sinanović , Alessandro Ciani , Shai Machnes , Frank K. Wilhelm

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix…

介观与纳米尺度物理 · 物理学 2012-01-25 Philipp Zedler , Clive Emary , Tobias Brandes , Tomas Novotny

The non-Markovianity is a prominent concept of the dynamics of the open quantum systems, which is of fundamental importance in quantum mechanics and quantum information. Despite of lots of efforts, the experimentally measuring of…

量子物理 · 物理学 2015-06-23 S. -J. Dong , B. -H. Liu , Y. -N. Sun , Y. -J. Han , G. -C. Guo , Lixin He

We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation.…

量子物理 · 物理学 2009-10-30 Lajos Diosi , Walter T. Strunz

We make a detailed analysis of quantumness for various quantum noise channels, both Markovian and non-Markovian. The noise channels considered include dephasing channels like random telegraph noise, non-Markovian dephasing and phase…

量子物理 · 物理学 2020-05-05 Javid Naikoo , Subhashish Banerjee

We identify a set of dynamical maps of open quantum system, and refer to them as "$ \epsilon $-Markovian" maps. It is constituted of maps which, in a higher dimensional system-environment Hilbert space, possibly violate Born approximation…

量子物理 · 物理学 2021-09-10 Sreetama Das , Sudipto Singha Roy , Samyadeb Bhattacharya , Ujjwal Sen
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