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We propose a novel measurement-free scheme for stabilizing a spin-oscillator hybrid qubit via autonomous quantum error correction. The engineered Lindbladian renders the code space into an attractive steady-state subspace, realized by…

Quantum Physics · Physics 2026-05-29 Sungjoo Cho , Ju-yeon Gyhm , Hyukjoon Kwon , Hyunseok Jeong

We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and…

Quantum Physics · Physics 2015-06-09 R. Di Candia , J. S. Pedernales , A. del Campo , E. Solano , J. Casanova

Open quantum systems weakly coupled to the environment are modeled by completely positive, trace preserving semigroups of linear maps. The generators of such evolutions are called Lindbladians. In the setting of quantum many-body systems on…

Quantum Physics · Physics 2015-04-29 Toby S. Cubitt , Angelo Lucia , Spyridon Michalakis , David Perez-Garcia

Inferring the dynamical generator of a many-body quantum system from measurement data is essential for the verification, calibration, and control of quantum processors. When the system is open, this task becomes considerably harder than in…

It is by now well understood that quantum dissipative processes can be harnessed and turned into a resource for quantum-information processing tasks. In this paper we demonstrate yet another way in which this is true by providing a…

Quantum Physics · Physics 2016-02-17 Paolo Zanardi , Jeffrey Marshall , Lorenzo Campos Venuti

The Lindblad equation for open quantum systems is central to our understanding of coherence and entanglement in the presence of Markovian dissipation. In closed quantum systems Hilbert-space fragmentation is an effective mechanism for…

Quantum Physics · Physics 2025-06-23 Dawid Paszko , Christopher J. Turner , Dominic C. Rose , Arijeet Pal

We develop a novel framework to engineer persistent oscillatory modes in Markovian open quantum systems governed by a time-independent Lindblad master equation. We show that oscillatory modes can be created when the Hamiltonian and jump…

Quantum Physics · Physics 2026-03-06 Chun Hei Leung , Pak-Tik Fong , Tianyi Yan , Weibin Li

It has been recently realized that dissipative processes can be harnessed and exploited to the end of coherent quantum control and information processing. In this spirit we consider strongly dissipative quantum systems admitting a…

Quantum Physics · Physics 2014-12-18 Paolo Zanardi , Lorenzo Campos Venuti

In this work, we present a general theoretical framework for the study of autonomously corrected quantum devices. First, we identify a necessary and sufficient revised version of the Knill-Laflamme conditions for the existence of an…

Quantum Physics · Physics 2021-03-10 José Lebreuilly , Kyungjoo Noh , Chiao-Hsuan Wang , Steven M. Girvin , Liang Jiang

Thermal state preparation is a central challenge in the simulation of quantum many-body systems. Yet, provably efficient algorithms for this task were only introduced recently [Chen et al. Nature 646, 561 (2025)]. These algorithms are based…

Quantum Physics · Physics 2026-05-06 Christopher Ong , S. A. Parameswaran , Benedikt Placke , Dominik Hahn

In a number of physically relevant contexts, a quantum system interacting with a decohering environment is simultaneously subjected to time-dependent controls and its dynamics is thus described by a time-dependent Lindblad master equation.…

Quantum Physics · Physics 2026-02-19 Lasse H. Wolff , Daniel Malz , Rahul Trivedi

If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divided into a unitary piece, represented by an effective…

Quantum Physics · Physics 2022-05-12 Patrick Hayden , Jonathan Sorce

By using the effective Hamiltonian approach, we present a self-consistent framework for the analysis of geometric phases and dynamically stable decoherence-free subspaces in open systems. Comparisons to the earlier works are made. This…

Quantum Physics · Physics 2009-11-13 X. L. Huang , X. X. Yi , Chunfeng Wu , X. L. Feng , S. X. Yu , C. H. OH

Quantum computers can efficiently simulate Lindbladian dynamics, enabling powerful applications in open system simulation, thermal and ground-state preparation, autonomous quantum error correction, dissipative engineering, and more. Despite…

Quantum Physics · Physics 2025-10-20 Wenjun Yu , Xiaogang Li , Qi Zhao , Xiao Yuan

The fundamental difference between closed and open quantum dynamics lies in their environmental interaction: closed systems are perfectly isolated and evolve reversibly under unitary Hamiltonian dynamics, whereas open systems continuously…

Quantum Physics · Physics 2026-04-21 Zhong-Xia Shang , Daniel Stilck França

Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum…

Quantum Physics · Physics 2018-02-05 Victor V. Albert

Recent experimental progress in controlling open quantum systems enables the pursuit of mixed-state nonequilibrium quantum phases. We investigate whether open quantum systems hosting mixed-state symmetry-protected topological states as…

We investigate dissipation-driven topological phase transitions in one-dimensional quantum open systems governed by the Lindblad equation with linear dissipation operators, which ensure the density matrix retains its Gaussian form…

Quantum Physics · Physics 2026-01-27 Tian-Shu Deng , Fan Yang

We study the dissipative dynamics of a class of interacting ``gamma-matrix'' spin models coupled to a Markovian environment. For spins on an arbitrary graph, we construct a Lindbladian that maps to a non-Hermitian model of free Majorana…

Quantum Physics · Physics 2025-10-28 Lucas Sá , Benjamin Béri

We present a quantum algorithm for simulating a family of Markovian master equations that can be realized through a probabilistic application of unitary channels and state preparation. Our approach employs a second-order product formula for…

Quantum Physics · Physics 2024-07-02 Evan Borras , Milad Marvian
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