Continuous variable remote state preparation

Abstract

We extend exact deterministic remote state preparation (RSP) with minimal classical communication to quantum systems of continuous variables. We show that, in principle, it is possible to remotely prepare states of an ensemble that is parameterized by infinitely many real numbers, i.e., by a real function, while the classical communication cost is one real number only. We demonstrate continuous variable RSP in three examples using (i) quadrature measurement and phase space displacement operations, (ii) measurement of the optical phase and unitaries shifting the same, and (iii) photon counting and photon number shift.

7 pages, RevTeX4

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• General criterion for oblivious remote state preparation
• Minimal classical communication and measurement complexity for quantum information splitting
• Experimental quantum tomography of a homodyne detector
• Remote state preparation of spatial qubits
• Remote state preparation of two-component Bose-Einstein condensates
• Generalized Remote Preparation of Arbitrary $m$-qubit Entangled States via Genuine Entanglements
• Two-step deterministic remote preparation of an arbitrary quantum state in the whole Hilbert space
• Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states
• Bidirectional controlled quantum state preparation in high-dimensional quantum system
• Optimizing scheme of probabilistic remote preparation state
• Controlled Remote State Preparation via General Pure Three-Qubit State