Quantum Entanglement and Reduced Density Matrices

The Criteria for Quantum Teleportation of an Arbitrary Two-Qubit State Information Based on The Channel Matrices

“…The entanglement of multipartite has been studied by employing the rank of the density matrix [17]. If the state of n-partite is completely decomposed, then the rank of every single reduced density matrix is one.…”

“…Although not specifically discussed, we show the single reduced density matrix in the Appendix. Based on the work of Purwanto et al [17], we investigate the rank of three double reduced density matrix, i.e., (AB), (AC), and (AD) sub-states. If the rank each of them are not equal to one, the state of Eq.…”

“…The separability of the state can be obtained by exploring the rank of the corresponding reduced density matrix. Purwanto et al [17] revealed if the rank of each single reduced density matrix of a multipartite state is one, then the state is completely separable. Contrary, if the rank of each single reduced density matrix is not equal to one, then the type of entangled state shall be determined by investigating various higher dimensional reduced density matrices.…”

“…In order to teleport an arbitrary two-qubit state via the four-qubit channel, the rank and the entanglement of the channel matrix have to be considered [13,14,15]. In this paper, the reduced density matrix [17] are analyzed further to obtain the rank of the four-qubit entangled channel. The density matrix can be expressed as the multiplication of various channel matrices and their Hermitian conjugate.…”

Teleportasi Kuantum Terkontrol Keadaan Dua-Qubit Sembarang

“…Kajian teoritis dapat berupa perluasan kanal tidak lagi pasangan dua partikel tetapi tiga [3] maupun informasi tidak lagi dari partikel tunggal tetapi dua partikel via kanal empat partikel [4]. Teleportasi hanya dapat terjadi via kanal terbelit [1,5] dan mengetahui sifat keterbelitan kubit tinggi menjadi perlu dan telah diakukan [6].…”