| CPC G06N 10/40 (2022.01) [G06N 10/20 (2022.01); G21K 1/003 (2013.01); G02F 1/0102 (2013.01); G02F 1/11 (2013.01)] | 21 Claims |

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1. A method for performing an echo sequence in a quantum information processing (QIP) system, comprising:
applying a first global optical beam to a plurality of dual space single species (DSSS) trapped ions to transition the plurality of DSSS trapped ions from a first state in a first manifold to a first state in a second manifold; and
applying, at a time after applying the first global optical beam, a second global optical beam to the plurality of DSSS trapped ions to transition:
from the first state in the second manifold to the first state in the first manifold; and
from a second state in the first manifold to a second state in the second manifold.
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