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Inspired by natural cooling processes, dissipation has become a promising approach for preparing low-energy states of quantum systems.
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F. Verstraete, M. M. Wolf, and I. Cirac · 2009
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Generators of KMS symmetric Markov semigroups on symmetry and quantum detailed balance
F. Fagnola and V. Umanità · 2010
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Spectral theorem for the Lindblad equation for quadratic open fermionic systems
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Minimally entangled typical thermal state algorithms
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K. Temme, M. J. Kastoryano, M. B. Ruskai, M. M. Wolf, and F. Verstraete · 2010
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W. Son, L. Amico, R. Fazio, A. Hamma, S. Pascazio, and V. Vedral · 2011
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Quantum Metropolis sampling
K. Temme, T. J. Osborne, K. G. Vollbrecht, D. Poulin, and F. Verstraete · 2011
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Hypercontractivity of quasi-free quantum semigroups
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Steady-state entanglement by engineered quasilocal Markovian dissipation
F. Ticozzi and L. Viola · 2014
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Stability of local quantum dissipative systems
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Global L q L^{q} -Gevrey functions and their applications
Z. Adwan, G. Hoepfner, and A. Raich · 2017
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Gradient flow and entropy inequalities for quantum markov semigroups with detailed balance
E. A. Carlen and J. Maas · 2017
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Efficient quantum algorithms for simulating Lindblad evolution
R. Cleve and C. Wang · 2017
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Relaxation versus adiabatic quantum steady-state preparation
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Quimb: A python package for quantum information and many-body calculations
J. Gray · 2018
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Quantum convolutional neural networks
I. Cong, S. Choi, and M. D. Lukin · 2019
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Faster ground state preparation and high-precision ground energy estimation with fewer qubits
Y. Ge, J. Tura, and J. I. Cirac · 2019
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Experimental demonstration of the advantage of adaptive quantum circuits
M. Foss-Feig, A. Tikku, T.-C. Lu, K. Mayer, M. Iqbal, T. M. Gatterman, J. A. Gerber, K. Gilmore, D. Gresh, A. Hankin, et al · 2023
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Non-abelian floquet spin liquids in a digital Rydberg simulator
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Simulating Markovian open quantum systems using higher-order series expansion
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Thermal state preparation via rounding promises
P. Rall, C. Wang, and P. Wocjan · 2023
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Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array
Y. Wang, K. Snizhko, A. Romito, Y. Gefen, and K. Murch · 2023
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The stability of free fermi hamiltonians
M. B. Hastings · 2019
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Variational ansatz-based quantum simulation of imaginary time evolution
S. McArdle, T. Jones, S. Endo, Y. Li, S. C. Benjamin, and X. Yuan · 2019
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Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
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Near-optimal ground state preparation
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Local minima in quantum systems
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Slow mixing of quantum Gibbs samplers
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Quantum generalizations of Glauber and Metropolis dynamics
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Quantum Metropolis sampling via weak measurement
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Fixing detailed balance in ancilla-based dissipative state engineering
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Ground state preparation via dynamical cooling
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Efficient thermalization and universal quantum computing with quantum Gibbs samplers
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Optimal quantum algorithm for Gibbs state preparation
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Quantum advantage and stability to errors in analogue quantum simulators
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Efficient quantum Gibbs samplers with Kubo–Martin–Schwinger detailed balance condition
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Quantum dissipative search via Lindbladians
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Provably efficient quantum thermal state preparation via local driving
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Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians
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Quantum thermal state preparation for near-term quantum processors
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Quasiparticle Cooling Algorithms for Quantum Many-Body State Preparation
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Large-scale stochastic simulation of open quantum systems
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