Control power in perfect controlled teleportation via partially entangled channels

Abstract

We analyze and evaluate perfect controlled teleportation via three-qubit entangled channels from the point of view of the controller. The key idea in controlled teleportation is that the teleportation is performed only with the participation of the controller. We calculate a quantitative measure of the controller's power and establish a lower bound on the control power required for controlled teleportation. We show that the maximally entangled GHZ state is a suitable channel for controlled teleportation of arbitrary single qubits - the controller's power meets the bound and the teleportation fidelity without the controller's permission is no better than the fidelity of a classical channel. We also construct partially entangled channels that exceed the bound for controlled teleportation of a restricted set of states called the equatorial states. We calculate the minimum entanglement required in these channels to exceed the bound. Moreover, we find that in these restricted controlled teleportation schemes, the partially entangled channels can outperform maximally entangled channels with respect to the controller's power. Our results provide a new perspective on controlled teleportation schemes and are of practical interest since we propose useful partially entangled channels.

arXiv comment5 page, Physical Review A 2014

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• Controlled State Reconstruction and Quantum Secret Sharing
• Minimal control power of the controlled teleportation
• Generalization of port-based teleportation and controlled teleportation capability
• Analysis of control power in controlled remote state preparation schemes
• Tri-partite non-maximally entangled mixed states as a resource for optimum controlled quantum teleportation fidelity
• Probabilistic resumable quantum teleportation in high dimensions
• Minimal control power of controlled dense coding and genuine tripartite entanglement
• Perfect teleportation with a partially entangled quantum channel
• Probabilistic Teleportation of a Single Qubit: Unearthing New W-Class of States
• Resource state structure for controlled quantum key distribution
• Flying-cat parity checks for quantum error correction
• Transmission losses in optical qubits for controlled teleportation
• Strength of the nonlocality of two-qubit entangled state and its applications
• Operational criterion for controlled dense coding with non-trivial tripartite entangled states
• Three-Qubit State Preparation: Classification and Explicit Circuits
• Classical and Quantum Resources in Perfect Teleportation
• Optimal joint remote state preparation of equatorial states