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The simulation of many-body open quantum systems is key to solving numerous outstanding problems in physics, chemistry, material science, and in the development of quantum technologies. Near-term quantum computers may bring considerable…

Quantum Physics · Physics 2025-02-05 Sara Santos , Xinyu Song , Vincenzo Savona

The study of open system dynamics is of paramount importance both from its fundamental aspects as well as from its potential applications in quantum technologies. In the simpler and most commonly studied case, the dynamics of the system can…

Quantum Physics · Physics 2026-01-26 Leonardo da Silva Souza , Fernando Iemini

Quantum systems coupled to (non-)Markovian environments attract increasing attention due to their peculiar physical properties. Exciting prospects such as unconventional non-equilibrium phases beyond the Mermin-Wagner limit, or the…

Quantum Physics · Physics 2025-09-10 Philipp Westhoff , Mattia Moroder , Ulrich Schollwöck , Sebastian Paeckel

We study the entanglement dynamics of multi-qubit systems coupled to a common dissipative environment, focusing on systems with one or two initially excited qubits. Using the Lindblad master equation, we derive the time evolution of the…

Quantum Physics · Physics 2025-04-15 Z. Bakhshi , E. Morsheddoost , A. Zeynali

We present a relaxation-based method to bound expectation values on the steady state of dissipative many-body quantum systems described by master equations of the Lindblad form. Instead of targeting to represent the entire state, we promote…

Quantum Physics · Physics 2026-02-09 Miguel Frías Pérez , Antonio Acín

Noise in quantum devices is generally considered detrimental to computational accuracy. However, the recent proposal of noise-assisted simulation has demonstrated that noise can be an asset in digital quantum simulations of open systems on…

This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to treat Lindblad systems as generalizations…

Quantum Physics · Physics 2014-02-24 Victor V. Albert , Liang Jiang

Projected Entangled Pair States (PEPS) are recognized as a potent tool for exploring two-dimensional quantum many-body systems. However, a significant challenge emerges when applying conventional PEPS methodologies to systems with periodic…

Strongly Correlated Electrons · Physics 2024-07-23 Shaojun Dong , Chao Wang , Hao Zhang , Meng Zhang , Lixin He

We study a two-state quantum system with a non linearity intended to describe interactions with a complex environment, arising through a non local coupling term. We study the stability of particular solutions, obtained as constrained…

Analysis of PDEs · Mathematics 2023-11-30 Thierry Goudon , Simona Rota Nodari

Quantum systems subjected to a continuous weak measurement process evolve according to stochastic differential equations (SDE). Depending on the outcomes of these stochastic measurements, the quantum state may diffuse in various directions…

Quantum Physics · Physics 2025-08-19 Alain Sarlette , Cyril Elouard , Pierre Rouchon

The coupling of a quantum system to an environment leads generally to decoherence, and it is detrimental to quantum correlations within the system itself. Yet some forms of quantum correlations can be robust to the presence of an…

Quantum Physics · Physics 2026-04-29 Dolf Huybrechts , Tommaso Roscilde

Estimating the steady-state properties of open many-body quantum systems is a fundamental challenge in quantum science and technologies. In this work, we present a scalable approach based on semi-definite programming to derive certified…

We study a tripartite system of coupled spins, where a first set of one or two spins is our central system which is coupled to another set considered, the near environment, in turn coupled to the third set, the far environment. The dynamics…

Quantum Physics · Physics 2016-07-06 C. González-Gutiérrez , E. Villaseñor , C. Pineda , T. H. Seligman

Engineered dissipative reservoirs have the potential to steer many-body quantum systems toward correlated steady states useful for quantum simulation of high-temperature superconductivity or quantum magnetism. Using up to 49 superconducting…

Quantum Physics · Physics 2024-04-09 X. Mi , A. A. Michailidis , S. Shabani , K. C. Miao , P. V. Klimov , J. Lloyd , E. Rosenberg , R. Acharya , I. Aleiner , T. I. Andersen , M. Ansmann , F. Arute , K. Arya , A. Asfaw , J. Atalaya , J. C. Bardin , A. Bengtsson , G. Bortoli , A. Bourassa , J. Bovaird , L. Brill , M. Broughton , B. B. Buckley , D. A. Buell , T. Burger , B. Burkett , N. Bushnell , Z. Chen , B. Chiaro , D. Chik , C. Chou , J. Cogan , R. Collins , P. Conner , W. Courtney , A. L. Crook , B. Curtin , A. G. Dau , D. M. Debroy , A. Del Toro Barba , S. Demura , A. Di Paolo , I. K. Drozdov , A. Dunsworth , C. Erickson , L. Faoro , E. Farhi , R. Fatemi , V. S. Ferreira , L. F. Burgos E. Forati , A. G. Fowler , B. Foxen , E. Genois , W. Giang , C. Gidney , D. Gilboa , M. Giustina , R. Gosula , J. A. Gross , S. Habegger , M. C. Hamilton , M. Hansen , M. P. Harrigan , S. D. Harrington , P. Heu , M. R. Hoffmann , S. Hong , T. Huang , A. Huff , W. J. Huggins , L. B. Ioffe , S. V. Isakov , J. Iveland , E. Jeffrey , Z. Jiang , C. Jones , P. Juhas , D. Kafri , K. Kechedzhi , T. Khattar , M. Khezri , M. Kieferova , S. Kim , A. Kitaev , A. R. Klots , A. N. Korotkov , F. Kostritsa , J. M. Kreikebaum , D. Landhuis , P. Laptev , K. -M. Lau , L. Laws , J. Lee , K. W. Lee , Y. D. Lensky , B. J. Lester , A. T. Lill , W. Liu , A. Locharla , F. D. Malone , O. Martin , J. R. McClean , M. McEwen , A. Mieszala , S. Montazeri , A. Morvan , R. Movassagh , W. Mruczkiewicz , M. Neeley , C. Neill , A. Nersisyan , M. Newman , J. H. Ng , A. Nguyen , M. Nguyen , M. Y. Niu , T. E. OBrien , A. Opremcak , A. Petukhov , R. Potter , L. P. Pryadko , C. Quintana , C. Rocque , N. C. Rubin , N. Saei , D. Sank , K. Sankaragomathi , K. J. Satzinger , H. F. Schurkus , C. Schuster , M. J. Shearn , A. Shorter , N. Shutty , V. Shvarts , J. Skruzny , W. C. Smith , R. Somma , G. Sterling , D. Strain , M. Szalay , A. Torres , G. Vidal , B. Villalonga , C. V. Heidweiller , T. White , B. W. K. Woo , C. Xing , Z. J. Yao , P. Yeh , J. Yoo , G. Young , A. Zalcman , Y. Zhang , N. Zhu , N. Zobrist , H. Neven , R. Babbush , D. Bacon , S. Boixo , J. Hilton , E. Lucero , A. Megrant , J. Kelly , Y. Chen , P. Roushan , V. Smelyanskiy , D. A. Abanin

We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find…

Quantum Physics · Physics 2011-11-15 Marko Znidaric

This thesis deals with the generation, estimation and preservation of novel quantum states of two and three qubits, on an NMR quantum information processor. Using the maximum likelihood ansatz, we have developed a method for state…

Quantum Physics · Physics 2018-05-01 Harpreet Singh

We investigate the structure of non-equilibrium steady states (NESS) for a class of exactly solvable models in the setting of a chain with left and right reservoirs. Inspired by recent results on the harmonic model, we focus on models in…

Probability · Mathematics 2025-12-02 Frank Redig , Berend van Tol

We consider a closed quantum system subjected to stochastic Poissonian resetting with rate $r$ to its initial state. Resetting drives the system to a nonequilibrium stationary state (NESS) with a mixed density matrix which has both…

Quantum Physics · Physics 2024-03-29 Manas Kulkarni , Satya N. Majumdar

Quantum states in complex aggregates are unavoidably affected by environmental effects, which typically cannot be accurately modeled by simple Markovian processes. As system sizes scale up, nonperturbative simulation become thus unavoidable…

Statistical Mechanics · Physics 2024-06-26 Meng Xu , J. T. Stockburger , J. Ankerhold

Reliable methods for the classification and quantification of quantum entanglement are fundamental to understanding its exploitation in quantum technologies. One such method, known as Separable Neural Network Quantum States (SNNS), employs…

Quantum Physics · Physics 2021-06-15 Cillian Harney , Mauro Paternostro , Stefano Pirandola