Comparing classicality of qutrits from Hilbert-Schmidt, Bures and Bogoliubov-Kubo-Mori ensembles
In the report we analyze the indicator/measure of classicality of quantum states defined as the probability to find a state with a positive Wigner function within a unitary invariant random ensemble. The indicators of classicality of three ensembles associated with the Hilbert-Schmidt, Bures and Bog...
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| creator | Khvedelidze, Arsen Torosyan, Astghik |
| description | In the report we analyze the indicator/measure of classicality of quantum
states defined as the probability to find a state with a positive Wigner
function within a unitary invariant random ensemble. The indicators of
classicality of three ensembles associated with the Hilbert-Schmidt, Bures and
Bogoliubov-Kubo-Mori metrics on the space of quantum states of 3-level system
are computed. Their dependence on a moduli parameter of the Wigner function is
studied for all strata of a qutrit state space stratified in accordance with
the unitary group action. |
| doi_str_mv | 10.48550/arxiv.2208.13908 |
| format | Article |
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states defined as the probability to find a state with a positive Wigner
function within a unitary invariant random ensemble. The indicators of
classicality of three ensembles associated with the Hilbert-Schmidt, Bures and
Bogoliubov-Kubo-Mori metrics on the space of quantum states of 3-level system
are computed. Their dependence on a moduli parameter of the Wigner function is
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function within a unitary invariant random ensemble. The indicators of
classicality of three ensembles associated with the Hilbert-Schmidt, Bures and
Bogoliubov-Kubo-Mori metrics on the space of quantum states of 3-level system
are computed. Their dependence on a moduli parameter of the Wigner function is
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states defined as the probability to find a state with a positive Wigner
function within a unitary invariant random ensemble. The indicators of
classicality of three ensembles associated with the Hilbert-Schmidt, Bures and
Bogoliubov-Kubo-Mori metrics on the space of quantum states of 3-level system
are computed. Their dependence on a moduli parameter of the Wigner function is
studied for all strata of a qutrit state space stratified in accordance with
the unitary group action.</abstract><doi>10.48550/arxiv.2208.13908</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Quantum Physics |
| title | Comparing classicality of qutrits from Hilbert-Schmidt, Bures and Bogoliubov-Kubo-Mori ensembles |
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