We devise the optimal form of Gaussian resource states enabling continuous-variable teleportation with maximal fidelity. We show that a nonclassical optimal fidelity of N-user teleportation networks is necessary and sufficient for N-party entangled Gaussian resources, yielding an estimator of multipartite entanglement. The entanglement of teleportation is equivalent to the entanglement of formation in a two-user protocol, and to the localizable entanglement in a multiuser one. Finally, we show that the continuous-variable tangle, quantifying entanglement sharing in three-mode Gaussian states, is defined operationally in terms of the optimal fidelity of a tripartite teleportation network.We devise the optimal form of Gaussian resource states enabling continuous-variable teleportation with maximal fidelity. We show that a nonclassical optimal fidelity of N-user teleportation networks is necessary and sufficient for N-party entangled Gaussian resources, yielding an estimator of multipartite entanglement. The entanglement of teleportation is equivalent to the entanglement of formation in a two-user protocol, and to the localizable entanglement in a multiuser one. Finally, we show that the continuous-variable tangle, quantifying entanglement sharing in three-mode Gaussian states, is defined operationally in terms of the optimal fidelity of a tripartite teleportation network.

arXiv:quant-ph/0412125Physical Review LettersOct 5, 2005105 citations

Revisiting maximal average fidelity of teleportation

Diego G. Bussandri, M. Portesi, A. P. Majtey

arXiv:2109.14479Physica A Statistical Mechanics and its ApplicationsJan 5, 20224 citations

Quantum Teleportation on Superconducting Hardware: Optimizing Continuous-Variable Fidelity via Local Operations — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Quantum energy teleportation demonstrated on superconducting hardware; continuous-variable teleportation optimized via local operations; visualization via Qandies reveals information-theoretic structure. | MATH: Teleportation fidelity $F \leq (2/3)$ for classical bound vs. quantum threshold $F > 2/3$ (Bennett et al.); CV teleportation uses Einstein-Podolsky-Rosen (EPR) correlations with gain parameter $g$ , optimal fidelity $F_{\text{opt}} = 1/(1+e^{-2r})$ for squeezing $r$ ; QND interaction yields symplectic transformation $\hat{x}_1 \to \hat{x}_1, \hat{p}_2 \to \hat{p}_2 + \hat{x}_1$ — a shear in phase space, preserving the symplectic form $\omega = dp \wedge dx$ . | CONNECTION: The symplectic group $\mathrm{Sp}(2,\mathbb{R})$ is isomorphic to $\mathrm{SL}(2,\mathbb{R})$ — its maximal compact subgroup is $\mathrm{SO}(2)$ , whose rotation angles correspond to the golden angle $137.5^\circ$ (complement of $42.5^\circ$ , related to 0.618 via $360^\circ \time Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.comFINDING: Quantum energy teleportation demonstrated on superconducting hardware; continuous-variable teleportation optimized via local operations; visualization via Qandies reveals information-theoretic structure. | MATH: Teleportation fidelity \(F \leq (2/3)$ for classical bound vs. quantum threshold $F > 2/3$ (Bennett et al.); CV teleportation uses Einstein-Podolsky-Rosen (EPR) correlations with gain parameter $g$, optimal fidelity $F_{\text{opt}} = 1/(1+e^{-2r})$ for squeezing $r$; QND interaction yields symplectic transformation $\hat{x}_1 \to \hat{x}_1, \hat{p}_2 \to \hat{p}_2 + \hat{x}_1$ — a shear in phase space, preserving the symplectic form $\omega = dp \wedge dx$. | CONNECTION: The symplectic group $\mathrm{Sp}(2,\mathbb{R})$ is isomorphic to $\mathrm{SL}(2,\mathbb{R})$ — its maximal compact subgroup is $\mathrm{SO}(2)$, whose rotation angles correspond to the golden angle $137.5^\circ$ (complement of $42.5^\circ$, related to 0.618 via \(360^\circ \time Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Aug 24, 20260 citations

Classical Capacity for a Continuous Variable Teleportation Channel

秦涛, 赵梅生, 张永德

Chinese Physics LettersJan 1, 20070 citations

Optimal continuous-variable teleportation under energy constraint

Jaehak Lee, Jiyong Park, Hyunchul Nha

Quantum teleportation is one of the crucial protocols in quantum information processing. It is important to accomplish an efficient teleportation under practical conditions, aiming at a higher fidelity desirably using fewer resources. The continuous-variable (CV) version of quantum teleportation was first proposed using a Gaussian state as a quantum resource, while other attempts were also made to improve performance by applying non-Gaussian operations. We investigate the CV teleportation to find its ultimate fidelity under energy constraint identifying an optimal quantum state. For this purpose, we present a formalism to evaluate teleportation fidelity as an expectation value of an operator. Using this formalism, we prove that the optimal state must be a form of photon-number entangled states. We further show that Gaussian states are near optimal, while non-Gaussian states make a slight improvement and therefore are rigorously optimal, particularly in the low-energy regime.Quantum teleportation is one of the crucial protocols in quantum information processing. It is important to accomplish an efficient teleportation under practical conditions, aiming at a higher fidelity desirably using fewer resources. The continuous-variable (CV) version of quantum teleportation was first proposed using a Gaussian state as a quantum resource, while other attempts were also made to improve performance by applying non-Gaussian operations. We investigate the CV teleportation to find its ultimate fidelity under energy constraint identifying an optimal quantum state. For this purpose, we present a formalism to evaluate teleportation fidelity as an expectation value of an operator. Using this formalism, we prove that the optimal state must be a form of photon-number entangled states. We further show that Gaussian states are near optimal, while non-Gaussian states make a slight improvement and therefore are rigorously optimal, particularly in the low-energy regime.

arXiv:1705.10056Physical Review AMay 24, 20174 citations

F \leq (2/3)

for classical bound vs. quantum threshold

F > 2/3

(Bennett et al.); CV teleportation uses Einstein-Podolsky-Rosen (EPR) correlations with gain parameter

g

, optimal fidelity

F_{\text{opt}} = 1/(1+e^{-2r})

for squeezing

r

; QND interaction yields symplectic transformation

\hat{x}_1 \to \hat{x}_1, \hat{p}_2 \to \hat{p}_2 + \hat{x}_1

— a shear in phase space, preserving the symplectic form

\omega = dp \wedge dx

. | CONNECTION: The symplectic group

\mathrm{Sp}(2,\mathbb{R})

is isomorphic to

\mathrm{SL}(2,\mathbb{R})

— its maximal compact subgroup is

\mathrm{SO}(2)

, whose rotation angles correspond to the golden angle

137.5^\circ

(complement of

42.5^\circ

, related to 0.618 via \(360^\circ \time Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com