A variance-aware tensor network framework using the tensor jump method, TDVP on MPS, and Pauli-Lindblad noise models enables scalable simulation of noisy quantum circuits with reduced Monte Carlo variance.
Lindbladian Evolution with Selfadjoint Lindblad Operators as Averaged Random Unitary Evolution
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abstract
It is shown how any Lindbladian evolution with selfadjoint Lindblad operators, either Markovian or nonMarkovian, can be understood as an averaged random unitary evolution. Both mathematical and physical consequences are analyzed. First a simple and fast method to solve this kind of master equations is suggested and particularly illustrated with the phase-damped master equation for the multiphoton resonant Jaynes-Cummings model in the rotating-wave approximation. A generalization to some intrinsic decoherence models present in the literature is included. Under the same philosophy a proposal to generalize the Jaynes-Cummings model is suggested whose predictions are in accordance with experimental results in cavity QED and in ion traps. A comparison with stochastic dynamical collapse models is also included.
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Noisy quantum circuit simulation with the tensor jump method
A variance-aware tensor network framework using the tensor jump method, TDVP on MPS, and Pauli-Lindblad noise models enables scalable simulation of noisy quantum circuits with reduced Monte Carlo variance.