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Complexity of decoupling and time reversal for<i>n</i>spins with pair interactions: Arrow of time in quantum control

Complexity of decoupling and time reversal for<i>n</i>spins with pair interactions: Arrow of time in quantum control

Well-known nuclear magnetic resonance experiments show that the time evolution according to (truncated) dipole-dipole interactions between n spins can be inverted by simple pulse sequences. Independent of n, the reversed evolution is only two times slower than the original one. Here we consider more general spin-spin couplings with long range. …