Lorentz-covariant reduced-density-operator theory for relativistic-quantum-information processing

Journal Article · Sat Mar 01 04:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.032309· OSTI ID:20633824

Ahn, Doyeol ^[1]; Lee, Hyuk-jae ^[1]; Hwang, Sung Woo ^[1]

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1. Institute of Quantum Information Processing and Systems, University of Seoul, Seoul 130-743 (Korea, Republic of)

In this paper, we derived a Lorentz-covariant quantum Liouville equation for the density operator which describes the relativistic-quantum-information processing from Tomonaga-Schwinger equation and an exact formal solution for the reduced density operator is obtained using the projector operator technique and the functional calculus. When all the members of the family of the hypersurfaces become flat hyperplanes, it is shown that our results agree with those of the nonrelativistic case, which is valid only in some specified reference frame. To show that our formulation can be applied to practical problems, we derived the polarization of the vacuum in quantum electrodynamics up to the second order. The formulation presented in this work is general and could be applied to related fields such as quantum electrodynamics and relativistic statistical mechanics.

• OSTI ID: 20633824
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOLTZMANN-VLASOV EQUATION
DATA PROCESSING
DENSITY
INFORMATION THEORY
MATHEMATICAL SOLUTIONS
POLARIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM MECHANICS
RELATIVISTIC RANGE
STATISTICAL MECHANICS