“…M jk (x, y, z, t) C kj (32) are situated on the boundaries of the region where x, y, z, t are given. In our case, it is the cube 0 ≤ x, y, z, t ≤ 1.…”
Section: Qubit Portrait Of Symplectic Tomogramsmentioning
confidence: 99%
“…Recently, fiber optical parametric amplifiers have been developed with a total amplification of 60-70 dB over an input signal [31,32]. Also the dynamics of the entanglement of Gaussian states of systems in a reservoir model has been studied in [33,34].…”
The linear time-dependent constants of motion of the parametric amplifier are obtained and used to determine in the tomographic-probability representation the evolution of a general two-mode Gaussian state. By means of the discretization of the continuous variable density matrix, the von Neumann and linear entropies are calculated to measure the entanglement properties between the modes of the amplifier. The obtained results for the nonlocal correlations are compared with those associated to a linear map of discretized symplectic Gaussian-state tomogram onto a qubit tomogram. This qubit portrait procedure is used to establish Bell-type's inequalities, which provide a necessary condition to determine the separability of quantum states, which can be evaluated through homodyne detection. Other no-signaling nonlocal correlations are defined through the portrait procedure for noncomposite systems.
“…M jk (x, y, z, t) C kj (32) are situated on the boundaries of the region where x, y, z, t are given. In our case, it is the cube 0 ≤ x, y, z, t ≤ 1.…”
Section: Qubit Portrait Of Symplectic Tomogramsmentioning
confidence: 99%
“…Recently, fiber optical parametric amplifiers have been developed with a total amplification of 60-70 dB over an input signal [31,32]. Also the dynamics of the entanglement of Gaussian states of systems in a reservoir model has been studied in [33,34].…”
The linear time-dependent constants of motion of the parametric amplifier are obtained and used to determine in the tomographic-probability representation the evolution of a general two-mode Gaussian state. By means of the discretization of the continuous variable density matrix, the von Neumann and linear entropies are calculated to measure the entanglement properties between the modes of the amplifier. The obtained results for the nonlocal correlations are compared with those associated to a linear map of discretized symplectic Gaussian-state tomogram onto a qubit tomogram. This qubit portrait procedure is used to establish Bell-type's inequalities, which provide a necessary condition to determine the separability of quantum states, which can be evaluated through homodyne detection. Other no-signaling nonlocal correlations are defined through the portrait procedure for noncomposite systems.
“…Consequently, FOPAs have a synergy with trending topics such as free space communications, quantum communications, access networks and hollow core fibres for FOPAs'. Experimental demonstrations of the FOPA features include gain tuneable across bandwidth over 400 nm [1], a continuous gain bandwidth up to 270 nm [2], [3], noise figure down to 0 dB [4] and gain up to 70 dB [5].…”
We present our recent achievements with polarisation-insensitive fibre optical parametric amplifiers (PI-FOPAs) for optical communications. We have demonstrated a robust fully automated (black-box) PI-FOPA operation in the C and L bands simultaneously with gain of ~20dB and output power over 23dBm when amplifying polarisation-multiplexed WDM QAM signals and a bursty traffic. Additionally, we have demonstrated a PI-FOPA to amplify WDM signals in the S band and across a continuous bandwidth of 40nm. Finally, we have demonstrated a power budget improvement of a transient-sensitive link by up to 8 dB when employing a PI-FOPA with noise figure of ~6 dB as a drop-in replacement of an EDFA.
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