Preparation of Entangled States by Quantum Markov Processes

Details Preparation of Entangled States by Quantum Markov Processes Preparation of Entangled States by Quantum Markov Processes

2008-03-10

arxiv.org/abs/0803.1463v3

Phys. Rev. A 78, 042307 (2008)

Physics

Quantum Physics

minor changes, references added, appendix removed

Scientific paper

10.1103/PhysRevA.78.042307

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, like the Cluster states, we use this process to show that the jump operators can be chosen quasi--locally, i.e. they act non--trivially 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 MPS--PEPS states. In particular, we show that the ground state of the AKLT--model can be prepared employing a quasi--local dissipative process.

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