Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics - INSPIRE

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Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics

Vladimir N. Chernega
(
- Lebedev Inst.
)
,
Olga V. Man’ko
(
- Lebedev Inst.
)
,
Vladimir I. Man’ko
(
- Lebedev Inst. and
- Russian Quantum Ctr., Moscow
)

Apr 9, 2022

20 pages

Published in:

Entropy 24 (2022) 4, 527

Published: Apr 9, 2022

DOI:

10.3390/e24040527

View in:

AMS MathSciNet

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Abstract: (MDPI)

The superposition states of two qubits including entangled Bell states are considered in the probability representation of quantum mechanics. The superposition principle formulated in terms of the nonlinear addition rule of the state density matrices is formulated as a nonlinear addition rule of the probability distributions describing the qubit states. The generalization of the entanglement properties to the case of superposition of two-mode oscillator states is discussed using the probability representation of quantum states.

probability distributions
Bell states
qubits
symplectic tomogram
linear entropy
qubit
nonlinear
entropy
entanglement
oscillator

References(56)

Figures(0)

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