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Popkov, Vladislav, Presilla, Carlo and Schmidt, Johannes (2017). Targeting pure quantum states by strong noncommutative dissipation. Phys. Rev. A, 95 (5). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

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Abstract

We propose a solution to the problem of realizing a predefined and arbitrary pure quantum state, based on the simultaneous presence of coherent and dissipative dynamics, noncommuting on the target state and in the limit of strong dissipation. More precisely, we obtain a necessary and sufficient criterion whereby the nonequilibrium steady state (NESS) of an open quantum system described by a Lindblad master equation approaches a target pure state in the Zeno regime, i.e., for infinitely large dissipative coupling. We also provide an explicit formula for the characteristic dissipative strength beyond which the purity of the NESS becomes effective, thus paving the way to an experimental implementation of our criterion. For an illustration, we deal with targeting a Bell state, an arbitrary pure state of N qubits, and a spin-helix state of N qubits.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Popkov, Vladislav UNSPECIFIED UNSPECIFIED UNSPECIFIED Presilla, Carlo UNSPECIFIED UNSPECIFIED UNSPECIFIED Schmidt, Johannes UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-230641
DOI:	10.1103/PhysRevA.95.052131
Journal or Publication Title:	Phys. Rev. A
Volume:	95
Number:	5
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DYNAMICAL SEMIGROUPS; TRAPPED IONS; ZENO DYNAMICS; REALIZATION; GENERATORS; SYSTEMS; BITS Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23064