dorsal/arxiv
View SchemaQubit portrait of qudit states and Bell inequalities
| Authors | V. N. Chernega, V. I. Man'ko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611168 |
| URL | https://arxiv.org/abs/quant-ph/0611168 |
Abstract
A linear map of qudit tomogram onto qubit tomogram (qubit portrait) is proposed as a characteristics of the qudit state. Using the qubit portrait method the Bell inequalities for two qubits and two qutrits are discussed in framework of probability representation of quantum mechanics. Semigroup of stochastic matrices is associated with tomographic probability distributions of qubit and qutrit states. Bell-like inequalities are studied using the semigroup of stochastic matrices. The qudit-qubit map of tomographic probability distributions is discussed as ansatz to provide a necessary condition for separability of quantum states.
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"abstract": "A linear map of qudit tomogram onto qubit tomogram (qubit portrait) is\nproposed as a characteristics of the qudit state. Using the qubit portrait\nmethod the Bell inequalities for two qubits and two qutrits are discussed in\nframework of probability representation of quantum mechanics. Semigroup of\nstochastic matrices is associated with tomographic probability distributions of\nqubit and qutrit states. Bell-like inequalities are studied using the semigroup\nof stochastic matrices. The qudit-qubit map of tomographic probability\ndistributions is discussed as ansatz to provide a necessary condition for\nseparability of quantum states.",
"arxiv_id": "quant-ph/0611168",
"authors": [
"V. N. Chernega",
"V. I. Man\u0027ko"
],
"categories": [
"quant-ph"
],
"title": "Qubit portrait of qudit states and Bell inequalities",
"url": "https://arxiv.org/abs/quant-ph/0611168"
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