Coined Quantum Walk on a Quantum Network
- URL: http://arxiv.org/abs/2406.01558v1
- Date: Mon, 3 Jun 2024 17:40:22 GMT
- Title: Coined Quantum Walk on a Quantum Network
- Authors: Jigyen Bhavsar, Shashank Shekhar, Siddhartha Santra,
- Abstract summary: We explore a discrete-time, coined quantum walk on a quantum network where the coherent superposition of walker-moves originates from the unitary interaction of the walker-coin with the qubit degrees of freedom in the quantum network.
The walk dynamics leads to a growth of entanglement between the walker and the network on one hand, and on the other, between the network-qubits among themselves.
- Score: 1.619107149276392
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We explore a discrete-time, coined quantum walk on a quantum network where the coherent superposition of walker-moves originates from the unitary interaction of the walker-coin with the qubit degrees of freedom in the quantum network. The walk dynamics leads to a growth of entanglement between the walker and the network on one hand, and on the other, between the network-qubits among themselves. The initial entanglement among the network qubits plays a crucial role in determining the asymptotic values of these entanglement measures and the quantum walk statistics. Specifically, the entanglement entropy of the walker-network state and the negativity of the quantum network-qubit state saturate to values increasing with the initial network-entanglement. The asymptotic time-averaged walker-position probability distribution shows increasing localization around the initial walker-position with higher initial network entanglement. A potential application of these results as a characterisation tool for quantum network properties is suggested.
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