The absolute positive partial transpose property for random induced states (Q2920373)
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scientific article; zbMATH DE number 6094184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The absolute positive partial transpose property for random induced states |
scientific article; zbMATH DE number 6094184 |
Statements
16 October 2012
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separable quantum states
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positive partial transpose
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PPT criterion
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quantum entanglement
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volume induced by partial trace
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random matrices
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The absolute positive partial transpose property for random induced states (English)
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PPT state holds for positive partial transpose. APPT refers to absolute positive partial transpose. A quantum state is separable if it can be written as the convex combination of the tensor product of quantum states on subsystems. A quantum state is entangled if it is not separable. The present paper is devoted to the study of the geometric property of the set of absolutely PPT (APPT) states. After some theoretical results on the combinatorics of centered Wishart matrices, one derives new formulae for their moments and estimates on their extremal eigenvalues. The main characteristics properties so obtained are summarized together with bounds of the threshold for APPT.
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