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The Markovian dynamics of a qubit is investigated in the scheme of random unitary dynamics, where Kraus operators are changed by an extra noise. The behavior of Markovianity is explored in the perturbed scenario. We provide a new algorithm…

Quantum Physics · Physics 2017-06-07 Filip A. Wudarski , Francesco Petruccione

A two-electron system confined in two coupled semiconductor quantum dots is investigated as a candidate for performing quantum logic operations on spin qubits. We study different processes of swapping the electron spins by controlled…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Moskal , S. Bednarek , J. Adamowski

We consider a system interacting with a chaotic thermodynamic bath. We derive an explicit and exact Kraus operator sum representation (OSR) for the open system reduced density. The OSR preserves the Hermiticity, complete positivity and…

Quantum Physics · Physics 2009-11-13 Murat Cetinbas , Joshua Wilkie

We show that the dynamics of any open quantum system that is initially correlated with its environment can be described by a set of (or less) completely positive maps, where d is the dimension of the system. Only one such map is required…

Quantum Physics · Physics 2019-10-30 Gerardo A. Paz-Silva , Michael J. W. Hall , Howard M. Wiseman

We derive damping equations of motion for interacting two-spin states from a spin-boson model in order to examine qubit dynamics in quantum computers. On the basis of the composite operator method, we develop the Caldeira-Leggett approach…

Quantum Physics · Physics 2023-06-21 Hiroaki Matsueda , Yukiya Ide , Sadamichi Maekawa

Realizable spin models are investigated in a two superconducting flux qubit system. It is shown that a specific adjustment of system parameters in the two flux qubit system makes it possible to realize an artificial two-spin system that…

Mesoscale and Nanoscale Physics · Physics 2007-06-19 Qian Qian Shi , Sam Young Cho , Bo Li , Mun Dae Kim

Several prominent proposals have suggested that spins of localized electrons could serve as quantum computer qubits. The exchange interaction has been invoked as a means of implementing two qubit gates. In this paper, we analyze the…

Strongly Correlated Electrons · Physics 2016-08-31 Ari Mizel , Daniel A. Lidar

We briefly review the physics of gate operations between quantum dot spin-qubits and analyze the dynamics of quantum entanglement in such processes. The indistinguishable character of the electrons whose spins realize the qubits gives rise…

Condensed Matter · Physics 2007-05-23 John Schliemann , Daniel Loss

We develop a microscopic theory for biasing the quantum trajectories of an open quantum system, which renders rare trajectories typical. To this end we consider a discrete-time quantum dynamics, where the open system collides sequentially…

We report the simultaneous operation and two-qubit coupling measurement of a pair of two-electron spin qubits that are actively decoupled from quasistatic nuclear noise in a GaAs quadruple quantum dot array. Coherent Rabi oscillations of…

We present a general analysis of the role of initial correlations between the open system and an environment on quantum dynamics of the open system.

Quantum Physics · Physics 2009-11-07 Peter Stelmachovic , Vladimir Buzek

Based on a general unitary operation of two-qubit system, we investigate the dynamics of entanglement, entropy and purity. Distinctive features in the different initial states settings of an interacting bipartite system are explored. The…

Quantum Physics · Physics 2008-03-14 Nasser Metwally , Mahmoud Abdel-Aty

Linear maps of matrices describing evolution of density matrices for a quantum system initially entangled with another are identified and found to be not always completely positive. They can even map a positive matrix to a matrix that is…

Quantum Physics · Physics 2009-11-10 Thomas F. Jordan , Anil Shaji , E. C. G. Sudarshan

We develop a non-perturbative method for calculating partition functions of strongly coupled quantum mechanical systems with interactions between subsystems described by a path integral of a dual system. The dual path integral is derived…

High Energy Physics - Theory · Physics 2021-03-09 Vitaly Vanchurin

Microscopic Hamiltonian models of the composite system "open system + environment" typically do not provide the operator-sum Kraus form of the open system's dynamical map. With the use of a recently de- veloped method [16], we derive the…

Quantum Physics · Physics 2017-05-08 Momir Arsenijevic , Jasmina Jeknic-Dugic , Miroljub Dugic

We consider a bipartite open quantum system constituted by two interacting qubits $A$ and $B$, assuming that the former is coupled to the environment and is directly affected by coherent control, while the latter does not interact directly…

Optimization and Control · Mathematics 2023-01-10 Kateryna Verzhanska , Francesca Carlotta Chittaro

Quantum-state engineering, i.e., active manipulation over the coherent dynamics of suitable quantum-mechanical systems, has become a fascinating prospect of modern physics. Here we discuss the dynamics of two interacting electrons in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ping Zhang , Xian-Geng Zhao

The non-Markovian dynamics of quantum entanglement is studied by the Shabani-Lidar master equation when one of entangled quantum systems is coupled to a local reservoir with memory effects. The completely positive reduced dynamical map can…

Quantum Physics · Physics 2015-06-11 Xiang Hao , Jinqiao Sha , Jian Sun , Shiqun Zhu

A crucial requirement for quantum information processing is the realization of multiple-qubit quantum gates. Here, we demonstrate an electron spin based all-electrical two-qubit gate consisting of single spin rotations and inter-dot spin…

Quantum Physics · Physics 2015-05-30 R. Brunner , Y. -S. Shin , T. Obata , M. Pioro-Ladrière , T. Kubo , K. Yoshida , T. Taniyama , Y. Tokura , S. Tarucha

Open quantum walks often lead to a classical asymptotic behavior. Here, we look for a simple open quantum walk whose asymptotic behavior can be non-classical. We consider a discrete-time quantum walk on n-cycle subject to a random…

Quantum Physics · Physics 2019-11-27 Adam S. Sajna , Tomasz P. Polak , Antoni Wojcik , Pawel Kurzynski