numerical-range:generalizations:joint-numerical-range

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numerical-range:generalizations:joint-numerical-range [2019/10/01 12:55] plewandowska |
numerical-range:generalizations:joint-numerical-range [2020/02/19 10:40] plewandowska |
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== Three qutrit matrices == | == Three qutrit matrices == | ||

- | This classification is taken from [( :szymanski2017classification )]. Such JNRs must obey the following rules | + | This classification is taken from [( :szymanski2017classification )] (see for details). Such JNRs must obey the following rules |

- | - In this case we may restrict ourselves to only pure states (see [( :szymanski2017classification )] for details). | + | - In this case we may restrict ourselves to only pure states. |

- Any flat part in the boundary is the image of the Bloch sphere - two-dimensional subspace of a the sapce of $3 \times 3$ Hermitian matrices without corner points for | - Any flat part in the boundary is the image of the Bloch sphere - two-dimensional subspace of a the sapce of $3 \times 3$ Hermitian matrices without corner points for | ||

all configurations of Figure 2. We are unaware of earli | all configurations of Figure 2. We are unaware of earli | ||

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====Application==== | ====Application==== | ||

- | An example application of numerical range can be found in [( :szymanski2019geometric )]. | + | An example application of numerical range can be found in [( :szymanski2019geometric )], [( :czartowskiseparability )], [( :plaumann2019kippenhahn )]. |

numerical-range/generalizations/joint-numerical-range.txt · Last modified: 2020/06/30 07:28 by plewandowska