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My understanding of dynamical codes is that they are codes whose logical qubits are generated through a particular sequence of measurements.

  1. Are Spacetime codes or the walking codes mentioned in the paper "Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics" considered dynamical codes?
  2. Are Floquet codes the only example of dynamical codes? (Are the terms Floquet code and dynamical code interchangeable?)
AG47
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rexyquantum
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1 Answers1

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  1. Stabilizer and subsystem code categories are subsets of dynamical codes, so in that sense, even the standard surface code is by default a nontrivial dynamical code. That aside, it is fair to consider (1) a dynamical code. In fact, that protocol was realized experimentally in a paper titled "Demonstrating dynamic surface codes."

  2. No. Floquet codes refer to codes with a measurement sequence with finite periodicity. Dynamical codes may have non-periodic measurement sequences, as is the case in the latter paper you linked that realizes color code automorphisms.

Rohan Mehta
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