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  1. link.aps.org

    Jul 8, 2024The cost of classical simulations of quantum many-body dynamics is often determined by the amount of entanglement in the system. In this paper, we study entanglement in stochastic quantum trajectory approaches that solve master equations describing open quantum system dynamics. First, we introduce and compare adaptive trajectory unravelings of master equations. Specifically, building on [Phys ...
  2. journals.aps.org

    Jun 18, 2024Third, we compare various trajectory unravelings using matrix product states with a direct integration of the master equation using matrix product operators. We provide concrete examples of dynamics, for which the simulation cost of stochastic trajectories is exponentially smaller than the one of matrix product operators.
  3. In this paper, we expand upon the concept introduced in Ref. Vovk and Pichler (), analyzing entanglement in various quantum trajectory schemes.We complement our discussion with explicit examples of one-dimensional open quantum dynamics, demonstrating that some trajectory-based methods employing MPSs can yield an exponential reduction in classical computational cost compared to other MPS ...
  4. tem dynamics can be obtained by different unravelings, which give different ensembles of pure-state trajectories. Specifically, Ref. [46] puts forward the idea to adaptively optimize the unraveling choice to minimize the average entanglement, which acts as a proxy of the cost of classi-cally representing trajectories. The physical mechanism
  5. researchgate.net

    Jul 8, 2024We present a comprehensive implementation of the quantum trajectory theory for the description of the entanglement dynamics in a Markovian open quantum system made of two qubits.
  6. semanticscholar.org

    FIG. 1. Comparison of optimization strategies. (a) The entanglement probability density distributions over M = 1000 trajectories for a two-qubit dephasing process with cj = σ z j /2. The colour plot corresponds to the distribution of trajectories generated by the GEDO method (32) with the average indicated by the purple line. The solid black line corresponds to the distribution of the ...
  7. semanticscholar.org

    The number of trajectories with various RBC realizations is M = 200 for each panel, the bond dimension is χ = 256, which is exact for L = 16. We emphasize a different vertical scale in the panel (b) compared to the panels (c), (d) and (e). - "Quantum trajectory entanglement in various unravelings of Markovian dynamics"
  8. Apr 18, 2024The cost of classical simulations of quantum many-body dynamics is often determined by the amount of entanglement in the system. In this paper, we study entanglement in stochastic quantum trajectory approaches that solve master equations describing open quantum system dynamics. First, we introduce and compare adaptive trajectory unravelings of master equations. Specifically, building on Ref ...
  9. semanticscholar.org

    FIG. 4. Discrete noisy quantum circuit and entanglement dynamics therein for different simulation methods. (a) Discrete quantum SWAP circuit with dephasing applied to infinite chain of Bell pairs (40). Each discrete circuit step n consists of nearestneighbour SWAP gates applied alternatively to odd and even neighbouring qubit pairs and individual decoherence channels E(j) defined in Eq. (41 ...

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