Spin chain · quantum-computer scale

The spin chain at 100 spins

The dashboard's spin chain (J = 0.5 MHz, Δ = 1, no dephasing, alternating up/down start) at the size of an IBM chip. Exact simulation stops near 30 spins; a tensor-network (matrix product state) simulator stores the state compressed and reaches 100 spins on this laptop. Below it: the same circuit with IBM's recorded chip noise, as a preview of real hardware.

Does chain length change the dynamics?

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Every spin of the 100-spin chain

Each row is one spin, each column a moment in time. The start is a perfect stripe pattern; it dissolves from the inside while the two chain ends keep their order longer.

−1 down+1 uprows: spin 0 (bottom) to spin 99 (top) · hover for values

Can we trust the compression?

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24 spins: compressed vs exact (same circuit)

100 spins: increasing compression limit χ

Preview: the same circuit on IBM hardware noise

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Staggered magnetisation = average of (−1)ⁱ·Z_i: +1 for the starting stripe pattern, 0 once it has washed out. Regenerate with bash chain100.sh (100 spins) and bash ibm_step1.sh (IBM noise preview) in WSL.