20.500.12556/RUL-155058 Purity decay rate in random circuits with different configurations of gates We study purity decay—a measure of bipartite entanglement—in a chain of $n$ qubits under the action of various geometries of nearest-neighbor random two-site unitary gates. We use a Markov chain description of average purity evolution, using further reduction to obtain a transfer matrix of only polynomial dimension in $n$. In most circuits, an exception being the brick-wall configuration, purity decays to its asymptotic value in two stages: the initial thermodynamically relevant decay persisting up to extensive times is $\sim \lambda^t_{eff}$, with $\lambda_{eff}$ not necessarily being in the spectrum of the transfer matrix, while the ultimate asymptotic decay is given by the second largest eigenvalue $\lambda_2$ of the transfer matrix. The effective rate $\lambda_{eff}$ depends on the location of bipartition boundaries as well as on the geometry of applied gates. quantum mechanics statistical mechanics quantum circuits quantum gates quantum information theory quantum statistical mechanics quantum information science and technology statistical physics thermodynamics kvantna mehanika statistična mehanika true false true Angleški jezik Slovenski jezik Članek v reviji 2024-03-18 13:12:02 2024-03-18 13:12:03 2024-09-25 04:18:32 0000-00-00 00:00:00 2023 0 0 13 str. iss. 2, art. 022604 Vol. 107 2023 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.93 2469-9926 10.1103/PhysRevA.107.022604 188884995 2211.13565_(1).pdf 2211.13565_(1).pdf 1 7B2E8B536FCE0A33915FA682145CB7ED d8696c0e7ea7d8877227cb8b305f30a0ccc771af12b8b98920ed61fceb18a448 af9e96d0-7a3e-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=191800 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.107.022604 0 c3929eaf-e522-11ee-ae74-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181796 Fakulteta za matematiko in fiziko 0 0 0