Superoscillations underlying remote state preparation for relativistic fields
arXiv:1405.0063 · doi:10.1103/PhysRevA.91.052312
Abstract
We present a physical (gedanken) implementation of a generalized remote state preparation of relativistic quantum field states for an arbitrary set of observers. The prepared states are created in regions that are outside the future light-cone of the generating region. The mechanism, which is based on utilizing the vacuum state of a relativistic quantum field as a resource, sheds light on the well known Reeh-Schlieder theorem, indicating its strong connection with the mathematical phenomenon of superoscillations.
9 pages, 5 figures
References in corpus (32)
- Sudden Death of Entanglement
- Remote State Preparation
- Information Causality as a Physical Principle
- Quantum Information and Relativity Theory
- Classical Communication Cost in Distributed Quantum Information Processing - A generalization of Quantum Communication Complexity
- Minimum cbits for remote preperation and measurement of a qubit
- Entanglement entropy of two disjoint intervals in conformal field theory
- Entanglement from the vacuum
- Violating Bell's inequalities in the vacuum
- Entangling Power of an Expanding Universe
- Causal and localizable quantum operations
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Critical and noncritical long range entanglement in the Klein-Gordon field
- Quantum Measurement Information as a key to Energy Release from Local Vacuums
- Mode-Wise Entanglement of Gaussian States
- Universal geometric entanglement close to quantum phase transitions
- Instantaneous measurement of non-local variables
- Unconditionally Secure Bit Commitment with Flying Qudits
- Superoscillations and tunneling times
- Unusual Properties of Superoscillating Particles
- Black Holes, Bandwidths and Beethoven
- Quantum Tasks in Minkowski Space
- Measurability of Wilson loop operators
- Distillability and positivity of partial transposes in general quantum field systems
- BCS-like Modewise Entanglement of Fermion Gaussian States
- Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators
- Long-range entanglement in the Dirac vacuum
- Measurements of semi-local and non-maximally entangled states
- Location-Oblivious Data Transfer with Flying Entangled Qudits
- Entanglement consumption of instantaneous nonlocal quantum measurements
- A No-summoning theorem in Relativistic Quantum Theory
- Many-region vacuum entanglement: Distilling a W state