Relativistically invariant quantum information

Abstract

We show that quantum information can be encoded into entangled states of multiple indistinguishable particles in such a way that any inertial observer can prepare, manipulate, or measure the encoded state independent of their Lorentz reference frame. Such relativistically invariant quantum information is free of the difficulties associated with encoding into spin or other degrees of freedom in a relativistic context.

5 pages, published version

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• Quantum Black Holes: Entropy and Entanglement on the Horizon
• Quantum clocks observe classical and quantum time dilation
• Relativity and Lorentz Invariance of Entanglement Distillability
• Relativistic quantum reference frames: the operational meaning of spin
• Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
• Lorentz transformations that entangle spins and entangle momenta
• Physical interpretation of the Wigner rotations and its implications for relativistic quantum information
• Photon polarization and geometric phase in general relativity
• Relativistic quantum information and time machines
• Maps for Lorentz transformations of spin
• Einstein-Podolsky-Rosen correlations of vector bosons
• Localized qubits in curved spacetimes
• Global Dirac bispinor entanglement under Lorentz boosts
• Helicity correlations of vector bosons
• Communication between inertial observers with partially correlated reference frames
• Quantum-metrology estimation of spacetime parameters of the Earth outperforming classical precision
• WKB analysis of relativistic Stern-Gerlach measurements
• Relativistic quantum nonlocality for the three-qubit Greenberger-Horne-Zeilinger state
• Communicating without shared reference frames
• A new view on spin reduced density matrix for relativistic particles
• Entanglement of zero angular momentum mixtures and black hole entropy
• Wigner rotations and an apparent paradox in relativistic quantum information
• Quantum state of a free spin-1/2 particle and the inextricable dependence of spin and momentum under Lorentz transformations
• Bell's inequality with Dirac particles
• Entanglement properties of a two spin-one particle system under a Lorentz transformation
• Entanglement from longitudinal and scalar photons
• Relativistically covariant state-dependent cloning of photons
• Space-time qubits
• Limitations of practical multi-photon decoherence-free states
• Quantum nonlocality of massive qubits in a moving frame
• Effects of Lorentz boosts on Dirac bispinor entanglement
• Phase-space elementary information content of confined Dirac spinors
• Lorentz Invariant Quantum Concurrence for SU(2) x SU(2) spin-parity states
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance
• The von Neumann Entropy of EPR Spin Correlation for the Relativistic Pairs
• Spin Fidelity for Three-qubit Greenberger-Horne-Zeilinger and W States Under Lorentz Transformations
• Preservation of quantum coherence under Lorentz boost for narrow uncertainty wave packets
• Quantum Decoherence Modulated by Special Relativity
• Localization POVMs and intrinsic temporal uncertainty
• Relativistic quantum information theory and quantum reference frames
• Polarization rotation and near-Earth quantum communications
• Relative information encoded in the degree of entanglement to discriminate bipartite states
• Relativistically invariant encoding of quantum information revisited
• Quantum coherence measures for generalized Gaussian wave packets under a Lorentz boost
• Relativistic EPR-type experiments for photons in the background of reducible representation HOLA algebras
• Bundle Theoretic Descriptions of Massless Single-Particle State Spaces; How do we perceive a moving quantum particle