dorsal/arxiv
View SchemaQuantum Computer with Mixed States and Four-Valued Logic
| Authors | Vasily E. Tarasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312131 |
| URL | https://arxiv.org/abs/quant-ph/0312131 |
| DOI | 10.1088/0305-4470/35/25/305 |
| Journal | Journal of Physics A. Vol.35. No.25. (2002) 5207-5236 |
Abstract
In this paper we discuss a model of quantum computer in which a state is an operator of density matrix and gates are general 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 (Liouville space). It allows to use a quantum computer model with four-valued logic. The gates of this model are general superoperators which act on n-ququat state. Ququat is a quantum state in a four-dimensional (operator) Hilbert space. Unitary two-valued logic gates and quantum operations for an n-qubit open system are considered as four-valued logic gates acting on n-ququat. We discuss properties of quantum four-valued logic gates. In the paper we study universality for quantum four-valued logic gates.
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"abstract": "In this paper we discuss a model of quantum computer in which a state is an\noperator of density matrix and gates are general quantum operations, not\nnecessarily unitary. A mixed state (operator of density matrix) of n two-level\nquantum systems is considered as an element of 4^n-dimensional operator Hilbert\nspace (Liouville space). It allows to use a quantum computer model with\nfour-valued logic. The gates of this model are general superoperators which act\non n-ququat state. Ququat is a quantum state in a four-dimensional (operator)\nHilbert space. Unitary two-valued logic gates and quantum operations for an\nn-qubit open system are considered as four-valued logic gates acting on\nn-ququat. We discuss properties of quantum four-valued logic gates. In the\npaper we study universality for quantum four-valued logic gates.",
"arxiv_id": "quant-ph/0312131",
"authors": [
"Vasily E. Tarasov"
],
"categories": [
"quant-ph",
"cond-mat.soft",
"hep-th"
],
"doi": "10.1088/0305-4470/35/25/305",
"journal_ref": "Journal of Physics A. Vol.35. No.25. (2002) 5207-5236",
"title": "Quantum Computer with Mixed States and Four-Valued Logic",
"url": "https://arxiv.org/abs/quant-ph/0312131"
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