dorsal/arxiv
View SchemaOpen n-Qubit System as a Quantum Computer with Four-Valued Logic
| Authors | Vasily E. Tarasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112023 |
| URL | https://arxiv.org/abs/quant-ph/0112023 |
Abstract
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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"date_created": "2026-03-02T18:01:48.617000Z",
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"abstract": "In this paper we generalize the usual model of quantum computer to a model in\nwhich the state is an operator of density matrix and the gates are general\nsuperoperators (quantum operations), not necessarily unitary. A mixed state\n(operator of density matrix) of n two-level quantum system (open or closed\nn-qubit system) is considered as an element of $4^{n}$-dimensional operator\nHilbert space (Liouville space). It allows to use quantum computer (circuit)\nmodel with 4-valued logic. The gates of this model are general superoperators\nwhich act on n-ququats state. Ququat is quantum state in a 4-dimensional\n(operator) Hilbert space. Unitary two-valued logic gates and quantum operations\nfor n-qubit open system are considered as four-valued logic gates acting on\nn-ququats. We discuss properties of quantum 4-valued logic gates. In the paper\nwe study universality for quantum four-valued logic gates.",
"arxiv_id": "quant-ph/0112023",
"authors": [
"Vasily E. Tarasov"
],
"categories": [
"quant-ph"
],
"title": "Open n-Qubit System as a Quantum Computer with Four-Valued Logic",
"url": "https://arxiv.org/abs/quant-ph/0112023"
},
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"execution_id": "5f68e92e-7851-4334-b4d6-e3f002286c7a",
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