Open n-Qubit System as a Quantum Computer with Four-Valued Logic
| dc.creator | Tarasov, Vasily E. | |
| dc.date | 2001-12-04 | |
| dc.date.accessioned | 2026-07-07T06:03:17Z | |
| dc.date.available | 2026-07-07T06:03:17Z | |
| dc.description | 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. | |
| dc.description | 25 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0112023 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0112023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89883 | |
| dc.subject | Quantum Physics | |
| dc.title | Open n-Qubit System as a Quantum Computer with Four-Valued Logic | |
| dc.type | text |