Classical and quantum communication without a shared reference frame

Abstract

We show that communication without a shared reference frame is possible using entangled states. Both classical and quantum information can be communicated with perfect fidelity without a shared reference frame at a rate that asymptotically approaches one classical bit or one encoded qubit per transmitted qubit. We present an optical scheme to communicate classical bits without a shared reference frame using entangled photon pairs and linear optical Bell state measurements.

4 pages, published version

References in corpus (13)

• Noiseless Quantum Codes
• A Theory of Quantum Error-Correcting Codes
• Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
• On Bell measurements for teleportation
• Quantum Clock Synchronization Based on Shared Prior Entanglement
• Entanglement enhanced information transmission over a quantum channel with correlated noise
• Reducing decoherence in quantum computer memory with all quantum bits coupling to the same environment
• Stabilizing Quantum Information
• Optimal estimation of quantum dynamics
• Entangled quantum states as direction indicators
• Transmission of a Cartesian Frame by a Quantum System
• Aligning Reference Frames Using Quantum States
• Optimal encoding and decoding of a spin direction

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