%0 Journal Article %1 PhysRevA.78.042307 %A Kraus, B. %A Büchler, Hans Peter %A Diehl, S. %A Kantian, A. %A Micheli, A. %A Zoller, P. %D 2008 %I American Physical Society %J Phys. Rev. A %K %N 4 %P 042307 %R 10.1103/PhysRevA.78.042307 %T Preparation of entangled states by quantum Markov processes %U https://link.aps.org/doi/10.1103/PhysRevA.78.042307 %V 78 %X We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the corresponding master equation analytically. For certain states, such as the cluster states, we use this process to show that the jump operators can be chosen quasilocally, i.e. they act nontrivially only on a few, neighboring qubits. Furthermore, the relaxation time of this dissipative process is independent of the number of subsystems. We demonstrate the general formalism by considering arbitrary matrix-product states or projected entangled pair states. In particular, we show that the ground state of the Affleck-Kennedy-Lieb-Tasaki model can be prepared employing a quasi-local dissipative process.

@article{PhysRevA.78.042307, abstract = {We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the corresponding master equation analytically. For certain states, such as the cluster states, we use this process to show that the jump operators can be chosen quasilocally, i.e. they act nontrivially only on a few, neighboring qubits. Furthermore, the relaxation time of this dissipative process is independent of the number of subsystems. We demonstrate the general formalism by considering arbitrary matrix-product states or projected entangled pair states. In particular, we show that the ground state of the Affleck-Kennedy-Lieb-Tasaki model can be prepared employing a quasi-local dissipative process.}, added-at = {2023-08-31T14:18:04.000+0200}, author = {Kraus, B. and Büchler, Hans Peter and Diehl, S. and Kantian, A. and Micheli, A. and Zoller, P.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/251e3b02a6faa62f3e7baf576db2ea7d6/puma-wartung}, doi = {10.1103/PhysRevA.78.042307}, interhash = {c1113623b30553e2172c3bd7642f26c5}, intrahash = {51e3b02a6faa62f3e7baf576db2ea7d6}, journal = {Phys. Rev. A}, keywords = {}, month = oct, number = 4, numpages = {9}, pages = 042307, publisher = {American Physical Society}, timestamp = {2023-08-31T12:18:04.000+0200}, title = {Preparation of entangled states by quantum Markov processes}, url = {https://link.aps.org/doi/10.1103/PhysRevA.78.042307}, volume = 78, year = 2008 }