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Quantum helicity entropy of moving bodies

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Song He1, Shuxin Shao2 and Hongbao Zhang3,4,5

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Lorentz transformation of the reduced helicity density matrix for a massive spin-\frac{1}{2} particle is investigated in the framework of relativistic quantum information theory for the first time. The corresponding helicity entropy is calculated, which shows no invariant meaning as that of spin. The variation of the helicity entropy with the relative speed of motion of inertial observers, however, differs significantly from that of spin due to their distinct transformation behaviors under the action of the Lorentz group. This novel and odd behavior unique to the helicity may be readily detected by high-energy physics experiments. The underlying physical explanations are also discussed.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.30.+p Special relativity

03.67.Mn Entanglement measures, witnesses, and other characterizations

MSC

83A05 Special relativity

Subjects

Computational physics

Gravitation and cosmology

Quantum information and quantum mechanics

Dates

Issue 36 (7 September 2007)

Received 18 July 2007, in final form 28 July 2007

Published 21 August 2007



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