Non-Markovian channel from the reduced dynamics of coin in quantum walk
- URL: http://arxiv.org/abs/2007.09896v1
- Date: Mon, 20 Jul 2020 05:52:44 GMT
- Title: Non-Markovian channel from the reduced dynamics of coin in quantum walk
- Authors: Javid Naikoo, Subhashish Banerjee, C. M. Chandrashekar
- Abstract summary: The quantum channels with memory, known as non-Markovian channels, are crucial for a realistic description of a variety of physical systems.
A general formalism is sketched to extract the Kraus operators for a $t$-step quantum walk.
We study various quantum information theoretic quantities of a qubit under the action of this channel, putting in perspective, the role such channels can play in various quantum information processing tasks.
- Score: 1.7396274240172125
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The quantum channels with memory, known as non-Markovian channels, are of
crucial importance for a realistic description of a variety of physical
systems, and pave ways for new methods of decoherence control by manipulating
the properties of environment such as its frequency spectrum. In this work, the
reduced dynamics of coin in a discrete-time quantum walk is characterized as a
non-Markovian quantum channel. A general formalism is sketched to extract the
Kraus operators for a $t$-step quantum walk. Non-Markovianity, in the sense of
P-indivisibility of the reduced coin dynamics, is inferred from the
non-monotonous behavior of distinguishably of two orthogonal states subjected
to it. Further, we study various quantum information theoretic quantities of a
qubit under the action of this channel, putting in perspective, the role such
channels can play in various quantum information processing tasks.
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