{ "id": "quant-ph/0201033", "version": "v1", "published": "2002-01-09T09:50:59.000Z", "updated": "2002-01-09T09:50:59.000Z", "title": "Quantum Computation by Quantum Operations on Mixed States", "authors": [ "Vasily E. Tarasov" ], "comment": "11 pages, LaTeX", "categories": [ "quant-ph" ], "abstract": "Usually models for quantum computations deal with unitary gates on pure states. In this paper we generalize the usual model. We consider a model of quantum computations in which the state is an operator of density matrix and the gates are quantum operations, not necessarily unitary. A mixed state (operator of density matrix) of n two-level quantum systems is considered as an element of $4^{n}$-dimensional operator Hilbert space. Unitary quantum gates and nonunitary quantum operations for n-qubit system are considered as generalized quantum gates acting on mixed state. In this paper we study universality for quantum computations by quantum operations on mixed states.", "revisions": [ { "version": "v1", "updated": "2002-01-09T09:50:59.000Z" } ], "analyses": { "keywords": [ "mixed state", "dimensional operator hilbert space", "density matrix", "nonunitary quantum operations", "quantum computations deal" ], "note": { "typesetting": "LaTeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002quant.ph..1033T" } } }