Preservation of quantum coherence under Lorentz boost for narrow uncertainty wave packets
arXiv:1705.09265 · doi:10.1103/PhysRevA.96.052301
Abstract
We consider the effect of relativistic boosts on single particle Gaussian wave packets. The coherence of the wave function as measured by the boosted observer is studied as a function of the momentum and the boost parameter. Using various formulations of coherence it is shown that in general the coherence decays with the increase of the momentum of the state, as well as the boost applied to it. Employing a basis-independent formulation, we show however, that coherence may be preserved even for large boosts applied on narrow uncertainty wave packets. Our result is exemplified quantitatively for practically realizable neutron wave functions.
arXiv comment9 pages, 9 figures, RevTeX 4-1, comments welcome
References in corpus (43)
- Area laws for the entanglement entropy - a review
- Quantifying Coherence
- Quantifying Entanglement
- No Signalling and Quantum Key Distribution
- Quantum Information and Relativity Theory
- Alice falls into a black hole: Entanglement in non-inertial frames
- Robustness of coherence: An operational and observable measure of quantum coherence
- Observable measure of quantum coherence in finite dimensional systems
- Entanglement of Dirac fields in non-inertial frames
- The resource theory of quantum reference frames: manipulations and monotones
- The general structure of quantum resource theories
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Extending Noether's theorem by quantifying the asymmetry of quantum states
- Operationally Invariant Information in Quantum Measurements
- Entanglement Teleportation via Werner States
- Quantum entropy and special relativity
- Universal decoherence due to gravitational time dilation
- (Quantumness in the context of) Resource Theories
- Quantum speed limits, coherence and asymmetry
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations
- Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
- Classical and quantum communication without a shared reference frame
- Conceptual Inadequacy of the Shannon Information in Quantum Measurements
- Modes of asymmetry: the application of harmonic analysis to symmetric quantum dynamics and quantum reference frames
- Continuous variable entanglement sharing in non-inertial frames
- Observer dependent entanglement
- Quantum Coherence Sets The Quantum Speed Limit For Mixed States
- Relativistically invariant quantum information
- Almost Certain Escape from Black Holes
- Lorentz transformations that entangle spins and entangle momenta
- Frobenius-norm-based measures of quantum coherence and asymmetry
- Entanglement and nonlocality of a single relativistic particle
- Invariant information and quantum state estimation
- Maps for Lorentz transformations of spin
- Quantum causal histories in the light of quantum information
- Spectrometer for new gravitational experiment with UCN
- Remote Creation of Quantum Coherence
- Entanglement of two relativistic particles with discrete momenta
- Sending classical information through relativistic quantum channels
- Gravity experiments with ultracold neutrons and the qBounce experiment
- Dark energy from quantum wave function collapse of dark matter
- Intrinsic basis-independent quantum coherence measure