Open n-Qubit System as a Quantum Computer with Four-Valued Logic

Details Open n-Qubit System as a Quantum Computer with Four-Valued Logic Open n-Qubit System as a Quantum Computer with Four-Valued Logic

2001-12-04

arxiv.org/abs/quant-ph/0112023v1

Physics

Quantum Physics

25 pages, LaTeX

Scientific paper

In this paper we generalize the usual model of quantum computer to a model in which the state is an operator of density matrix and the gates are general superoperators (quantum operations), not necessarily unitary. A mixed state (operator of density matrix) of n two-level quantum system (open or closed n-qubit system) is considered as an element of $4^{n}$-dimensional operator Hilbert space (Liouville space). It allows to use quantum computer (circuit) model with 4-valued logic. The gates of this model are general superoperators which act on n-ququats state. Ququat is quantum state in a 4-dimensional (operator) Hilbert space. Unitary two-valued logic gates and quantum operations for n-qubit open system are considered as four-valued logic gates acting on n-ququats. We discuss properties of quantum 4-valued logic gates. In the paper we study universality for quantum four-valued logic gates.

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