Timeline for How can fault tolerance be understood from the perspective of detecting regions in a circuit?
Current License: CC BY-SA 4.0
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| Mar 1 at 5:18 | comment | added | Ezequiel Rodriguez Chiacchio | Importantly, detecting regions seem like a very powerful concept beyond just a tool to simulate QEC. The stabilizer formalism tells me that if I come up with a set of (cleverly chosen) Pauli operators I will be to store some information (logical qubits) and protect it against a certain amount of errors (code distance, etc.). How does one go about performing the same constructions using solely detecting regions? While this might be strictly tied up to the context of quantum circuits, I would expect that all properties mentioned in your answer would organically emerge from this construction. | |
| Mar 1 at 5:17 | comment | added | Ezequiel Rodriguez Chiacchio | To what is extent is the relationship between stabilizers and detecting regions an analogy or a precise mathematical relationship? At the moment, I am struggling to understand what kind of mathematical objects are detecting regions. | |
| Feb 27 at 5:22 | history | answered | Craig Gidney | CC BY-SA 4.0 |