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In this paper we discuss how a general bilinear finite-dimensional closed quantum system with dispersed parameters can be steered between eigenstates. We show that, under suitable conditions on the separation of spectral gaps and the…

Optimization and Control · Mathematics 2025-01-22 Ruikang Liang , Ugo Boscain , Mario Sigalotti

Topological order offers possibilities for processing quantum information which can be immune to imperfections. However, the question of its stability out of equilibrium is relevant for experiments, where coupling to an environment is…

Quantum Physics · Physics 2025-05-16 Dawid Paszko , Dominic C. Rose , Marzena H. Szymańska , Arijeet Pal

Engineered dissipation is emerging as an alternative tool for quantum state control, enabling high-fidelity preparation, transfer and stabilization, and access to novel phase transitions. We realize a tunable, state-resolved laser-induced…

Quantum Physics · Physics 2025-09-09 Tao Chen , Chenxi Huang , Jacob P. Covey , Bryce Gadway

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…

Quantum Physics · Physics 2024-08-27 Zhiyan Ding , Xiantao Li , Lin Lin

In many quantum information processing applications, it is important to be able to transfer a quantum state from one location to another - even within a local device. Typical approaches to implement the quantum state transfer rely on…

Quantum Physics · Physics 2018-10-09 Yuichiro Matsuzaki , Victor M. Bastidas , Yuki Takeuchi , William J. Munro , Shiro Saito

Coupled Lindblad pseudomode theory is a promising approach for simulating non-Markovian quantum dynamics on both classical and quantum platforms, with dynamics that can be realized as a quantum channel. We provide theoretical evidence that…

Quantum Physics · Physics 2026-03-27 Zhen Huang , Gunhee Park , Garnet Kin-Lic Chan , Lin Lin

We present a systematic approach for constructing steady state density operators of Markovian dissipative evolution for open quantum chain models with integrable bulk interaction and boundary incoherent driving. The construction is based on…

Quantum Physics · Physics 2015-06-16 Enej Ilievski , Bojan Žunkovič

Preparing thermal and ground states is an essential quantum algorithmic task for quantum simulation. In this work, we construct the first efficiently implementable and exactly detailed-balanced Lindbladian for Gibbs states of arbitrary…

Quantum Physics · Physics 2025-10-15 Chi-Fang Chen , Michael J. Kastoryano , András Gilyén

This paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled…

Mathematical Physics · Physics 2021-10-06 Géraldine Haack , Alain Joye

Recently, a framework was established to systematically construct novel universal resource states for measurement-based quantum computation using techniques involving finitely correlated states. With these methods, universal states were…

Quantum Physics · Physics 2009-08-04 J. -M. Cai , W. Dür , M. Van den Nest , A. Miyake , H. J. Briegel

The cluster state, the highly entangled state that is the central resource for one-way quantum computing, can be efficiently generated in a variety of physical implementations via global nearest-neighbor interactions. In practice, a…

Quantum Physics · Physics 2008-03-10 Michael C. Garrett , David L. Feder

We show that all Lindblad operators (i.e. generators of quantum semigroups) on a finite-dimensional Hilbert space satisfying the detailed balance condition with respect to the thermal equilibrium state can be written as a gradient system…

Mathematical Physics · Physics 2018-10-16 Markus Mittnenzweig , Alexander Mielke

The objective of this work is to study time-minimum and energy-minimum global optimal control for dissipative open quantum systems whose dynamics is governed by the Lindblad equation. The controls appear only in the Hamiltonian. Using…

Optimization and Control · Mathematics 2017-03-16 William Clark , Anthony Bloch , Leonardo Colombo , Patrick Rooney

A protocol is discussed for preparing a spin chain in a generic many-body state in the asymptotic limit of tailored non-unitary dynamics. The dynamics require the spectral resolution of the target state, optimized coherent pulses,…

Cluster states are versatile quantum resources and an essential building block for measurement-based quantum computing. The possibility to generate cluster states in specific systems may thus serve as an indicator regarding if and to what…

Quantum Physics · Physics 2024-01-19 Zheng-Yang Zhou , Clemens Gneiting , J. Q. You , Franco Nori

Quantum entanglement is an important resource for next-generation technologies. We show that diffracting systems can supplant beam splitters, and more generally interferometric networks, for entanglement generation -- systems as simple as…

Quantum Physics · Physics 2019-11-11 Aaron Z. Goldberg , Daniel F. V. James

We propose a quantum computation architecture based on geometries with nearest-neighbor interactions, including e.g. planar structures. We show how to efficiently split the role of qubits into data and entanglement-generation qubits.…

Quantum Physics · Physics 2026-01-28 Wolfgang Dür

In the thesis we present an analytic approach towards exact description for steady state density operators of nonequilibrium quantum dynamics in the framework of open systems. We employ the so-called quantum Markovian semi-group evolution,…

Quantum Physics · Physics 2014-10-07 Enej Ilievski

We present an alternative form of master equation, applicable on the analysis of non-equilibrium dynamics of fermionic open quantum systems. The formalism considers a general scenario, composed by a multipartite quantum system in contact…

Quantum Physics · Physics 2017-11-15 Fabrício M. Souza , L. Sanz

Simulating open quantum systems is an essential technique for understanding complex physical phenomena and advancing quantum technologies. Some quantum algorithms simulate Lindblad dynamics exponentially accurately, i.e., they achieve…

Quantum Physics · Physics 2026-02-24 Jumpei Kato , Kaito Wada , Kosuke Ito , Naoki Yamamoto