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Salman Khan and Niaz A Khan (2015)

# Relativistic quantum speed limit time in dephasing noise

The behavior of quantum speed limit time (QSLT) for a single free spin-1/2 particle described by
Gaussian wave packets in the framework of relativity under dephasing noise is investigated. The dephasing
noise acts only on the spin degrees of freedom of the spin-1/2 particle. In particular, the effects of initial time
parameter, rapidity, average momentum and the size of the wave packets in the presence of the dephasing
noise on the dynamics of evolution process are studied. In general, the effects of relativity monotonically
decrease the QSLT in time. In the range of large values of average momentum, critical values of both the
rapidity and the size of the wave packets exist at which the QSLT has its minimum value. In the range
of small values of the average momentum, the QSLT monotonically decreases with both rapidity and the
size of the wave packets. The decrease of QSLT in a particular range of rapidity and with other relative
parameters may be of great interest in employing fast quantum communication and quantum computation.