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arXiv:2603.06596

Quantum Walks Assisted Bidirectional Remote State Preparation

K. K. Naseeda, Jumana Muhammed Abdul Asharaf, N. C. Randeep

quant-phSubmitted Feb 8, 2026• Announced Feb 10, 2026• 0 citations
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Abstract

We present a scheme for bidirectional remote state preparation (BRSP) using quantum walks on two independent one-dimensional lattices and two independent cycles with two and four vertices, employing nearest-neighbor jumps with coin outcomes. The protocol is implemented in two distinct ways: one without the involvement of a controller and the other assisted by a controller . In this approach, the quantum walk dynamics generate entanglement during the remote state preparation process, thereby eliminating the need for any pre-shared initial entanglement between the communicating parties. Finally, we show that the bidirectional remote state preparation schemes based on quantum walks on a two-vertex and four-vertex system exhibit consistent behavior under the respective uncontrolled and controlled configurations.

Comments
32 pages, 5 figures, 4 tables

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