Faithful remote state preparation using finite classical bits and a non-maximally entangled state

Abstract

We present many ensembles of states that can be remotely prepared by using minimum classical bits from Alice to Bob and their previously shared entangled state and prove that we have found all the ensembles in two-dimensional case. Furthermore we show that any pure quantum state can be remotely and faithfully prepared by using finite classical bits from Alice to Bob and their previously shared nonmaximally entangled state though no faithful quantum teleportation protocols can be achieved by using a nonmaximally entangled state.

6 pages

References in corpus (11)

• Conditions for a class of entanglement transformations
• 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
• Optimal Remote State Preparation
• Oblivious remote state preparation
• Low-Entanglement Remote State Preparation
• Experimental Implementation of Remote State Preparation by Nuclear Magnetic Resonance
• Remote state preparation in higher dimension and the parallelizable manifold $S^{n-1}$
• Remote State Preparation without Oblivious Conditions
• A Simple Algorithm for Local Conversion of Pure States

Cited by in corpus (29)

• Remote Preparation of Mixed States via Noisy Entanglement
• Quantum discord and its allies: a review
• Family of Concurrence Monotones and its Applications
• Continuous variable remote state preparation
• Remote Preparation of a Qudit Using Maximally Entangled States of Qubits
• Secure quantum remote state preparation of squeezed microwave states
• Controlled bidirectional remote state preparation in noisy environment: A generalized view
• Remote Preparation and Distribution of Bipartite Entangled States
• Quantum Separability Criteria for Arbitrary Dimensional Multipartite States
• General criterion for oblivious remote state preparation
• Minimal classical communication and measurement complexity for quantum information splitting
• Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states
• Resources required for exact remote state preparation
• Remote state preparation of spatial qubits
• Remote state preparation of two-component Bose-Einstein condensates
• Optimal superdense coding of entangled states
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
• Generalized Remote Preparation of Arbitrary $m$-qubit Entangled States via Genuine Entanglements
• Equivalence of Quantum States under Local Unitary Transformations
• Analysis of control power in controlled remote state preparation schemes
• Improved lower and upper bounds for entanglement of formation
• On Estimation of Fully Entangled Fraction
• An Upper Bound of Fully Entangled Fraction of Mixed States
• Two-qubit correlations revisited: average mutual information, relevant (and useful) observables and an application to remote state preparation
• Fidelity of entanglement and quantum entropies: unveiling their relationship in quantum states and channels
• Identifying local unitary equivalence based on reduction of quantum states
• Optimal joint remote state preparation of equatorial states
• Controlled remote state preparation via partially entangled quantum channel
• Optimizing scheme of probabilistic remote preparation state