20.500.12556/RUL-175241 Exact nonequilibrium steady state of $XXZ$ circuits boundary driven with arbitrary resets or fields We propose a spatially inhomogeneous matrix product Ansatz for an exact many-body density operator of a boundary-driven $XXZ$ quantum circuit. The Ansatz has formally infinite bond dimension and is fundamentally different from previous constructions. The circuit is driven by a pair of reset quantum channels applied on the boundary qubits, which polarize the qubits to arbitrary pure target states. Moreover, one of the reset channels can be replaced by an arbitrary local unitary gate, thus representing a hybrid case with coherent and incoherent driving. Analyzing the Ansatz, we obtain a family of relatively robust separable nonequilibrium steady states, which can be viewed as a circuit extension of spin-helix states and are particularly suited for experimental investigations. quantum mechanics quantum circuits open quantum systems kvantna mehanika kvantna vezja odprti kvantni sistemi true false true Angleški jezik Slovenski jezik Članek v reviji 2025-10-22 15:15:24 2025-10-22 15:15:25 2025-12-07 04:05:15 0000-00-00 00:00:00 2025 0 0 Str. 070401-1-070401-7 iss. 7 Vol. 135 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 0031-9007 10.1103/31p7-lcgh 254347267 31p7-lcgh.pdf 31p7-lcgh.pdf 1 A183A672AEC00720136602EF36617B66 3e7f62c4833220dc9579c29e68426398f58c5c4a0b0dc0d0c65c331e70a38c27 5a0bbfbc-af49-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220585 https://journals.aps.org/prl/abstract/10.1103/31p7-lcgh 0 6178f8b2-af49-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220586 Fakulteta za matematiko in fiziko 0 0 0