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Simulating Open Quantum Systems Using Hamiltonian Simulations [PDF]
PRX Quantum, 2023 We present a novel method to simulate the Lindblad equation, drawing on the relationship between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations. We derive a sequence of unitary dynamics in an enlarged Hilbert space that
Zhiyan Ding, Xiantao Li, Lin Lin
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Dissipation-Induced Information Scrambling in a Collision Model
Entropy, 2022 In this paper, we present a collision model to stroboscopically simulate the dynamics of information in dissipative systems. In particular, an all-optical scheme is proposed to investigate the information scrambling of bosonic systems with Gaussian ...
Yan Li, Xingli Li, Jiasen Jin
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International Journal of Modern Physics E, 1994 The damping of the harmonic oscillator is studied in the framework of the Lindblad theory for open quantum systems. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master equation for the damped quantum oscillator is presented; the Schrödinger, Heisenberg and Weyl-Wigner-Moyal ...
Isar, A. +4 more
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Benefits of Open Quantum Systems for Quantum Machine Learning [PDF]
Advanced Quantum Technologies, 2023 Quantum machine learning (QML) is a discipline that holds the promise of revolutionizing data processing and problem‐solving. However, dissipation and noise arising from the coupling with the environment are commonly perceived as major obstacles to its ...
M. L. Olivera-Atencio +2 more
semanticscholar +1 more source
, 2023 In this Bachelor thesis project, the Lindblad master equation is derived, both as the most general way of modeling interaction with an environment that lacks memory, and through microscopic derivations focused on assumptions about the way the system interacts with its environment (weak-coupling, Born-Markov and rotating wave approximations). It is then
Bahns, Dorothea +2 more
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Open fermionic quantum systems [PDF]
Physical Review B, 1993 A method to treat a quantum system in interaction with a fermionic reservoir is presented. Its most important feature is that the dynamics of the exchange of particles between the system and the reservoir is explicitly included via an effective interaction term in the Hamiltonian. This feature gives rise to fluctuations in the total number of particles
Artacho, E., Falicov, L.M.
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Operator growth and Krylov construction in dissipative open quantum systems [PDF]
Journal of High Energy Physics, 2022 Inspired by the universal operator growth hypothesis, we extend the formalism of Krylov construction in dissipative open quantum systems connected to a Markovian bath.
Aranya Bhattacharya +3 more
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Localization in Open Quantum Systems [PDF]
Physical Review Letters, 2017 In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive a disordered system into a steady state with tunable localization properties.
Yusipov, I. I. +3 more
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Taming Quantum Noise for Efficient Low Temperature Simulations of Open Quantum Systems. [PDF]
Physical Review Letters, 2022 The hierarchical equations of motion (HEOM), derived from the exact Feynman-Vernon path integral, is one of the most powerful numerical methods to simulate the dynamics of open quantum systems.
Meng Xu +4 more
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Digital Simulation of Single Qubit Markovian Open Quantum Systems: A Tutorial
Quanta, 2023 One of the first proposals for the use of quantum computers was the simulation of quantum systems. Over the past three decades, great strides have been made in the development of algorithms for simulating closed quantum systems and the more complex open
Ian Joel David +2 more
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