FIG 2
The partition of our trapped ion crystal into two subsets (green and blue), with the hub qubit in the center (red).
Source publication
The technical demands to perform quantum error correction are considerable. The task requires the preparation of a many-body entangled state, together with the ability to make parity measurements over subsets of the physical qubits of the system to detect errors. Here we propose two trapped-ion experiments to realise error-correcting codes of arbit...
Contexts in source publication
Context 1
... time-tagging of the detected photons, a technique successfully demon- strated in a Penning trap [22]. Importantly, for an ap- propriate choice of N , the crystal will find an equilibrium configuration with a single ion that remains stationary at the centre of the rotating crystal. We refer to the central ion as the 'hub' qubit, shown in red in Fig. ...
Context 2
... a linear Paul trap, the partitions would be formed along a length of a one-dimensional Coulomb crystal, as shown in Fig. 2(b), while the single hub qubit could be any qubit in the string. State preparation and readout make use of individual addressing of the ...
Context 3
... first define the code partitioning. The crystal is divided into three subsets Q 1 , Q 2 and Q h as is illustrated in Fig. 2. Subsets Q 1 and Q 2 support codes 1 and 2, respectively. As we have discussed above in Sec. II, our setup will only allow us to act on all of the members of a given subset uniformly. However we can collectively address all of the qubits of a given subset independently of all of the other subsets in order to initialise them and perform ...
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Quantum error correction (QEC) is necessary for any prospective quantum computation in the near future. Canonical QEC schemes use projective von Neumann measurements on certain parity operators (stabilizers) to discretize the error syndromes into a finite set, and fast unitary gates are applied to recover the corrupted information. We call such QEC...
