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Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment.
On quantum theory of transport phenomena: steady diffusion
Sadao Nakajima · 1958
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Ensemble method in the theory of irreversibility
Robert Zwanzig · 1960
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The fluctuation-dissipation theorem
Rep Kubo · 1966
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General state changes in quantum theory
Karl Kraus · 1971
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On the generators of quantum dynamical semigroups
Goran Lindblad · 1976
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Fokker-Planck Equation
Hannes Risken · 1984
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Universal quantum simulators
Seth Lloyd · 1996
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Linear quantum state diffusion for non–Markovian open quantum systems
Walter T Strunz · 1996
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The non-Markovian stochastic Schrödinger equation for open systems
Lajos Diósi and Walter T Strunz · 1997
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Decoherence-free subspaces for quantum computation
Daniel A Lidar, Isaac L Chuang, and K Birgitta Whaley · 1998
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Non-Markovian stochastic Schrödinger equation
Pierre Gaspard and Masataka Nagaoka · 1999
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Non-Markovian evolution of the density operator in the presence of strong laser fields
Christoph Meier and David J. Tannor · 1999
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Open System Dynamics with Non–Markovian Quantum Trajectories
Walter T. Strunz, Lajos Diósi, and Nicolas Gisin · 1999
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From completely positive maps to the quantum Markovian semigroup master equation
Daniel A Lidar, Zsolt Bihary, and K Birgitta Whaley · 2001
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The theory of open quantum systems
Heinz-Peter Breuer and Francesco Petruccione · 2002
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A new approach to calculating the memory kernel of the generalized quantum master equation for an arbitrary system–bath coupling
Qiang Shi and Eitan Geva · 2003
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Qubit decoherence and non-Markovian dynamics at low temperatures via an effective spin-boson model
K Shiokawa and BL Hu · 2004
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Decoupling quantum dissipation interaction via stochastic fields
Jiushu Shao · 2004
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Current-induced light emission and light-induced current in molecular-tunneling junctions
Michael Galperin and Abraham Nitzan · 2005
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Quantum dynamics of system strongly coupled to low-temperature colored noise bath: Reduced hierarchy equations approach
Akihito Ishizaki and Yoshitaka Tanimura · 2005
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Stochastic Liouville, Langevin, Fokker–Planck, and master equation approaches to quantum dissipative systems
Yoshitaka Tanimura · 2006
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Efficient quantum algorithms for simulating sparse Hamiltonians
Dominic W Berry, Graeme Ahokas, Richard Cleve, and Barry C Sanders · 2007
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Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
Jinshuang Jin, Xiao Zheng, and YiJing Yan · 2008
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Measure for the degree of non-Markovian behavior of quantum processes in open systems
Heinz-Peter Breuer, Elsi-Mari Laine, and Jyrki Piilo · 2009
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Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
Michael Thorwart, Jens Eckel, John H Reina, Peter Nalbach, and Stephan Weiss · 2009
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Non-Markovian Quantum Dynamics: Local versus Nonlocal
Dariusz Chruściśki and Andrzej Kossakowski · 2010
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Dissipative quantum Church-Turing theorem
Martin Kliesch, Thomas Barthel, Christian Gogolin, Michael J Kastoryano, and Jens Eisert · 2011
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Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
Kristian Høeg Madsen, Serkan Ates, Toke Lund-Hansen, Andreas Löffler, Stephan Reitzenstein, Alfred Forchel, and Peter Lodahl · 2011
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Digital quantum simulation of many-body non-Markovian dynamics
Ryan Sweke, Mikel Sanz, Ilya Sinayskiy, Francesco Petruccione, and Enrique Solano · 2016
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Exponential improvement in precision for simulating sparse Hamiltonians
Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma · 2017
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Lindblad equation and its semiclassical limit of the Anderson-Holstein model
Yu Cao and Jianfeng Lu · 2017
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Efficient simulation of sparse Markovian quantum dynamics
Andrew M Childs and Tongyang Li · 2017
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Efficient quantum algorithms for simulating Lindblad evolution
Richard Cleve and Chunhao Wang · 2017
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Dynamics of non-Markovian open quantum systems
Inés de Vega and Daniel Alonso · 2017
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Ruggero Vasile, Sabrina Maniscalco, Matteo GA Paris, Heinz-Peter Breuer, and Jyrki Piilo · 2011
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A stochastic approach to open quantum systems
Robert Biele and Roberto D’Agosta · 2012
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Quantifying non-Markovianity via correlations
Shunlong Luo, Shuangshuang Fu, and Hongting Song · 2012
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Numerical solution of stochastic differential equations
Peter E Kloeden and Eckhard Platen · 2013
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Exact dynamics of quantum correlations of two qubits coupled to bosonic baths
Chen Wang and Qing-Hu Chen · 2013
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Exponential improvement in precision for simulating sparse Hamiltonians
Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma · 2014
Cited alongside, same era.
Gate-efficient discrete simulations of continuous-time quantum query algorithms
Dominic W Berry, Richard Cleve, and Sevag Gharibian · 2014
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Optimal Hamiltonian simulation by quantum signal processing
Guang Hao Low and Isaac L Chuang · 2017
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Approximate but accurate quantum dynamics from the Mori formalism. II. Equilibrium time correlation functions
Andrés Montoya-Castillo and David R Reichman · 2017
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Non-Markovian quantum processes: Complete framework and efficient characterization
Felix A. Pollock, César Rodr $́\text{I}$ · 2018
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Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
A. Strathearn, P. Kirton, D. Kilda, J. Keeling, and B. W. Lovett · 2018
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The power of block-encoded matrix powers: Improved regression techniques via faster Hamiltonian simulation
Shantanav Chakraborty, András Gilyén, and Stacey Jeffery · 2019
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Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
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Hamiltonian simulation by qubitization
Guang Hao Low and Isaac L Chuang · 2019
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Efficient construction of generalized master equation memory kernels for multi-state systems from nonadiabatic quantum-classical dynamics
William C. Pfalzgraff, Andrés Montoya-Castillo, Aaron Kelly, and Thomas E. Markland · 2019
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Spin-boson model as a simulator of non-Markovian multiphoton Jaynes-Cummings models
Ricardo Puebla, Giorgio Zicari, Iñigo Arrazola, Enrique Solano, Mauro Paternostro, and Jorge Casanova · 2019
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Neill Lambert, Tarun Raheja, Shahnawaz Ahmed, Alexander Pitchford, and Franco Nori · 2020
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Non-Markovian effects in dynamics of exciton-polariton Bose condensates
DV Makarov, AA Elistratov, and Yu E Lozovik · 2020
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Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
Yoshitaka Tanimura · 2020
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Dynamics of a nonlinear quantum oscillator under non-Markovian pumping
Alexey Alliluev and Denis Makarov · 2021
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Markovian embedding procedures for non-Markovian stochastic schrödinger equations
Xiantao Li · 2021
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Quantum simulation of open quantum systems using a unitary decomposition of operators
Anthony W Schlimgen, Kade Head-Marsden, LeeAnn M Sager, Prineha Narang, and David A Mazziotti · 2021
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Quantum state preparation and non-unitary evolution with diagonal operators
Anthony W Schlimgen, Kade Head-Marsden, LeeAnn M Sager-Smith, Prineha Narang, and David A Mazziotti · 2022
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