Derives closed formulas for absorption probabilities of two-state coined quantum walks on a line with sinks at ±N in the large-N limit, for fixed starting position or fixed distance from one sink.
The dashed line corresponds to the exponential fit ∆(N) ≈ exp(µ + νN ), with µ .= 0.878 and ν .= −1.762
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Quantum Walk on a Line with Absorbing Boundaries
Derives closed formulas for absorption probabilities of two-state coined quantum walks on a line with sinks at ±N in the large-N limit, for fixed starting position or fixed distance from one sink.