Special relativity and reduced spin density matrices

Abstract

We derive the general formula for Lorentz-transformed spin density matrix. It is shown that an appropriate Lorentz transformation can prduce totally unpolarized state out of pure one. Further properties, as depurification by an arbitrary Lorentz boost and its relation to the localization properties are also discussed.

7 pages

References in corpus (3)

• Quantum Entanglement of Moving Bodies
• Quantum entropy and special relativity
• Relativistic-invariant quantum entanglement between the spins of moving bodies

Cited by in corpus (8)

• Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
• Lorentz transformations that entangle spins and entangle momenta
• Maps for Lorentz transformations of spin
• Einstein-Podolsky-Rosen correlations of vector bosons
• Helicity correlations of vector bosons
• Wigner rotations and an apparent paradox in relativistic quantum information
• Localization POVMs and intrinsic temporal uncertainty
• Quantum coherence measures for generalized Gaussian wave packets under a Lorentz boost