Quantum Computation by Quantum Operations on Mixed States

Details Quantum Computation by Quantum Operations on Mixed States Quantum Computation by Quantum Operations on Mixed States

2002-01-09

arxiv.org/abs/quant-ph/0201033v1

Physics

Quantum Physics

11 pages, LaTeX

Scientific paper

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.

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