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c2_otimes_c4

bound_entangled.c2_otimes_c4.horodecki

https://arxiv.org/abs/quant-ph/9703004

horodecki(a_param)

Construct the 2×4 Horodecki bound-entangled state (arXiv:quant-ph/9703004).

One of the original examples of PPT entanglement, this state lives on C^2 ⊗ C^4 and is PPT for every a_param in [0, 1], yet entangled (and hence bound entangled) for every interior value a_param ∈ (0, 1). At the endpoints the state is separable.

Parameters:

Name Type Description Default
a_param float

free real parameter in [0, 1].

required

Returns:

Type Description
ndarray

np.ndarray: 8×8 density matrix of the 2×4 Horodecki state.