### Abstract

We study the multiqubit states and the corresponding minimal sets of dequantizers and quantizers, such that symbols of the operators (observables) obtained with the help of the dequantizers admit a physical interpretation; more precisely, the symbols can be measured in the experiments. We consider two types of such quantities: (i) the probabilities of spin projections onto certain directions and (ii) the mean values of these projections. We provide an explicit description of the systems of dequantizers and quantizers for both types of these quantities corresponding to N-qubit states. We show that, in view of such symbols, it is possible to represent the density matrices of the N-qubit states in the form of series expansion in terms of quantizers with the coefficients as measurable observables.

Original language | English |
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Pages (from-to) | 360-375 |

Number of pages | 16 |

Journal | Journal of Russian Laser Research |

Volume | 39 |

Issue number | 4 |

DOIs | |

Publication status | Published - júl. 1 2018 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Engineering (miscellaneous)

### Cite this

*Journal of Russian Laser Research*,

*39*(4), 360-375. https://doi.org/10.1007/s10946-018-9730-4

**Symbols of Multiqubit States Admitting a Physical Interpretation*.** / Ádám, P.; Andreev, Vladimir A.; Man’ko, Margarita A.; Man’ko, Vladimir I.

Research output: Article

*Journal of Russian Laser Research*, vol. 39, no. 4, pp. 360-375. https://doi.org/10.1007/s10946-018-9730-4

}

TY - JOUR

T1 - Symbols of Multiqubit States Admitting a Physical Interpretation*

AU - Ádám, P.

AU - Andreev, Vladimir A.

AU - Man’ko, Margarita A.

AU - Man’ko, Vladimir I.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We study the multiqubit states and the corresponding minimal sets of dequantizers and quantizers, such that symbols of the operators (observables) obtained with the help of the dequantizers admit a physical interpretation; more precisely, the symbols can be measured in the experiments. We consider two types of such quantities: (i) the probabilities of spin projections onto certain directions and (ii) the mean values of these projections. We provide an explicit description of the systems of dequantizers and quantizers for both types of these quantities corresponding to N-qubit states. We show that, in view of such symbols, it is possible to represent the density matrices of the N-qubit states in the form of series expansion in terms of quantizers with the coefficients as measurable observables.

AB - We study the multiqubit states and the corresponding minimal sets of dequantizers and quantizers, such that symbols of the operators (observables) obtained with the help of the dequantizers admit a physical interpretation; more precisely, the symbols can be measured in the experiments. We consider two types of such quantities: (i) the probabilities of spin projections onto certain directions and (ii) the mean values of these projections. We provide an explicit description of the systems of dequantizers and quantizers for both types of these quantities corresponding to N-qubit states. We show that, in view of such symbols, it is possible to represent the density matrices of the N-qubit states in the form of series expansion in terms of quantizers with the coefficients as measurable observables.

KW - density matrix

KW - dequantizer

KW - mean value

KW - probability

KW - quantizer

KW - spin projection

KW - symbol

UR - http://www.scopus.com/inward/record.url?scp=85053694620&partnerID=8YFLogxK

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U2 - 10.1007/s10946-018-9730-4

DO - 10.1007/s10946-018-9730-4

M3 - Article

AN - SCOPUS:85053637855

VL - 39

SP - 360

EP - 375

JO - Journal of Russian Laser Research

JF - Journal of Russian Laser Research

SN - 1071-2836

IS - 4

ER -