Enhancing quantum entanglement and quantum teleportation for two-mode squeezed vacuum state by local quantum-optical catalysis

Abstract

I theoretically investigate how the entanglement properties of a two-mode squeezed vacuum state (TMSVS) can be enhanced by operating quantum-optical catalysis on each mode of the TMSVS. The quantum-optical catalysis is simply mixing one photon at the beam splitter and post-select the beamsplitter (BS) output based on detection of one photon, first proposed by Lvovsky and Mlynek [Phys. Rev. Lett. 88, 250401 (2002)]. I find that there exists some enhancement in the entanglement properties (namely, entanglement entropy, second-order Einstein-Podolsky-Rosen correlation, and the fidelity of quantum teleportation) in certain parameter ranges spanned by the low transmissivities of the BSs and the small squeezing parameter of the input TMSVS.

Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry

“…Using the Wigner function of the input NG-TMSV state (25), the average of the parity operator evaluates to…”

“…It has been shown that non-Gaussian operations such as photon subtraction, addition, and catalysis on the TMSV state can enhance the non-classicality and entanglement content of the original state. These non-Gaussian states have been used in various protocols such as quantum teleportation [23][24][25][26][27], quantum key distribution [28][29][30][31][32][33], quantum illumination [34,35], and noise-less amplification [36] to enhance the performance. With a similar vision, non-Gaussian states have also been considered as input to the MZI to further enhance the phase sensitivity [37][38][39][40][41].…”

Consideration of success probability and performance optimization in non-Gaussian continuous variable quantum teleportation

“…Further, non-Gaussian states including photon subtracted TMSV (PSTMSV), photon added TMSV (PATMSV), and photon catalyzed TMSV (PCTMSV) states have been shown to improve the performance of various QIP protocols such as quantum key distribution [5][6][7][8][9][10], and quantum metrology [11][12][13][14][15]. It has been also shown that these non-Gaussian states can improve the fidelity of quantum teleportation [16][17][18][19][20][21][22].…”

Two-mode light states before and after delocalized single-photon addition

“…For example, the NOON state is a useful entangled resource, which has been generated [6] and applied to improve phase sensitivity in quantum metrology [7]. A large number of theoretical and experimental studies have demonstrated that entanglement between Gaussian entangled states can be increased via Gaussian or non-Gaussian operations [8][9][10][11][12][13][14][15][16][17][18][19][20]; these operations can be divided into local [21][22][23][24] and nonlocal [25,26]. Many nonlocal operations have the effect of delocalization, which can entangle the input separable states or change the entanglement of the input entangled states.…”