Quantum Communication with an Accelerated Partner

Abstract

An unsolved problem in relativistic quantum information research is how to model efficient, directional quantum communication between localised parties in a fully quantum field theoretical framework. We propose a tractable approach to this problem based on solving the Heisenberg evolution of localized field observables. We illustrate our approach by analysing, and obtaining approximate analytical solutions to, the problem of communicating coherent states between an inertial sender, Alice and an accelerated receiver, Rob. We use these results to determine the efficiency with which continuous variable quantum key distribution could be carried out over such a communication channel.

Additional explanatory text and typo in Eq.17 corrected

References in corpus (10)

• Gaussian Quantum Information
• The Unruh effect and its applications
• Quantum Information and Relativity Theory
• Alice falls into a black hole: Entanglement in non-inertial frames
• Teleportation with a uniformly accelerated partner
• The Unruh effect in quantum information beyond the single-mode approximation
• Virtual Entanglement and Reconciliation Protocols for Quantum Cryptography with Continuous Variables
• Continuous variable entanglement sharing in non-inertial frames
• Entanglement between the future and past in the quantum vacuum
• The relativistic quantum channel of communication through field quanta

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• Effect of relativistic acceleration on localized two-mode Gaussian quantum states
• Influence of relativistic effects on satellite-based clock synchronization
• Transmitting qubits through relativistic fields
• Summoning Information in Spacetime, or Where and When Can a Qubit Be?
• Quantum Signaling in Relativistic Motion and Across Acceleration Horizons
• Information travels in massless fields in 1+1 dimensions where energy cannot
• Enhancing entanglement, local and non-local information of accelerated two-qubit and two- qutrit systems via weak-reverse measurements
• Satellite-based quantum steering under the influence of spacetime curvature of the Earth
• Relativistic (2,3)-threshold quantum secret sharing
• Gravity enhanced quantum spatial target detection
• Quantum Circuit Model for a Uniformly Accelerated Mirror
• Effects of gravity on quantum key distribution
• The influence of the Earth's curved spacetime on Gaussian quantum coherence
• Characterization of quantum and classical correlations in the Earth curved space-time
• Introduction to gravitational redshift of quantum photons propagating in curved spacetime
• Evolution of confined quantum scalar fields in curved spacetime. Part I
• Two-mode Gaussian quantum states measured by collinearly and noncollinearly accelerating observers
• Making two particle detectors in flat spacetime communicate quantumly
• Causality Violation and Nonlinear Quantum Mechanics
• Entanglement-enhanced quantum ranging in the near-Earth spacetime
• Discriminating quantum field theories in non-inertial frames
• Lorentz-covariant sampling theory for fields
• Quantum Key Distribution without sending a Quantum Signal
• Effect of relativistic motion on witnessing non-classicality of quantum states
• Localised Systems in Relativistic Quantum Information
• Relativistic Quantum Communication
• Impact of the Unruh effect on the estimation precision of Gaussian channel parameters