Quantum walk state transfer on a hypercube
- URL: http://arxiv.org/abs/2302.07581v2
- Date: Mon, 27 Nov 2023 07:01:39 GMT
- Title: Quantum walk state transfer on a hypercube
- Authors: Martin Stefanak and Stanislav Skoupy
- Abstract summary: We investigate state transfer on a hypercube by means of a quantum walk where the sender and the receiver vertices are marked by a weighted loops.
We show that one can tune the weight of the loop to achieve state transfer with high fidelity in shorter run-time.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate state transfer on a hypercube by means of a quantum walk where
the sender and the receiver vertices are marked by a weighted loops. First, we
analyze search for a single marked vertex, which can be used for state transfer
between arbitrary vertices by switching the weighted loop from the sender to
the receiver after one run-time. Next, state transfer between antipodal
vertices is considered. We show that one can tune the weight of the loop to
achieve state transfer with high fidelity in shorter run-time in comparison to
the state transfer with a switch. Finally, we investigate state transfer
between vertices of arbitrary distance. It is shown that when the distance
between the sender and the receiver is at least 2, the results derived for the
antipodes are well applicable. If the sender and the receiver are direct
neighbours the evolution follows a slightly different course. Nevertheless,
state transfer with high fidelity is achieved in the same run-time.
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