Generalized Remote Preparation of Arbitrary $m$-qubit Entangled States via Genuine Entanglements

Abstract

Herein, we present a feasible, general protocol for quantum communication within a network via generalized remote preparation of an arbitrary $m$-qubit entangled state designed with genuine tripartite Greenberger--Horne--Zeilinger-type entangled resources. During the implementations, we construct novel collective unitary operations; these operations are tasked with performing the necessary phase transfers during remote state preparations. We have distilled our implementation methods into a five-step procedure, which can be used to faithfully recover the desired state during transfer. Compared to previous existing schemes, our methodology features a greatly increased success probability. After the consumption of auxiliary qubits and the performance of collective unitary operations, the probability of successful state transfer is increased four-fold and eight-fold for arbitrary two- and three-qubit entanglements when compared to other methods within the literature, respectively. We conclude this paper with a discussion of the presented scheme for state preparation, including: success probabilities, reducibility and generalizability.

arXiv comment16 pages, 3 figures, 3 tables, Accepted to Entropy

References in corpus (22)

• Quantum entanglement
• Quantum secret sharing
• Remote State Preparation
• Classical Communication Cost in Distributed Quantum Information Processing - A generalization of Quantum Communication Complexity
• Minimum cbits for remote preperation and measurement of a qubit
• Quantum key distribution in the Holevo limit
• Remote Preparation of Single-Photon "Hybrid" Entangled and Vector-Polarization States
• Remote state preparation: arbitrary remote control of photon polarization
• Faithful remote state preparation using finite classical bits and a non-maximally entangled state
• Optimal Remote State Preparation
• Oblivious remote state preparation
• Remote Preparation of Mixed States via Noisy Entanglement
• Low-Entanglement Remote State Preparation
• Experimental Implementation of Remote State Preparation by Nuclear Magnetic Resonance
• Continuous variable remote state preparation
• Generalized remote state preparation: Trading cbits, qubits and ebits in quantum communication
• Remote State Preparation without Oblivious Conditions
• Remote state preparation and teleportation in phase space
• Preparing remotely two instances of quantum state
• General criterion for oblivious remote state preparation
• Multipartite Quantum Entanglement Evolution in Photosynthetic Complexes
• Experimental multi-location remote state preparation

Cited by in corpus (4)

• Tripartite entanglement: Foundations and applications
• A secure deterministic remote state preparation via a seven-qubit entangled channel of an arbitrary two-qubit state under the impact of quantum noise
• The enhancement of quantum entanglement under an open Dirac system with Hawking effect in Schwarzschild space-time
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources