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Journal Article Logical qubit behavior model and fast simulation for surface code
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Authors
Soo-Cheol Oh, Gyu-Il Cha
Issue Date
2023-07
Citation
Quantum Information Processing, v.22, no.7, pp.1-28
ISSN
1570-0755
Publisher
Kluwer Academic Publishers
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1007/s11128-023-04044-8
Abstract
This study proposes a logical qubit behavior model (LQBM) that calculates the state of the logical qubit based on a surface code after a logical qubit operation. LQBM can simulate the surface code whose distance exceeds 5, which is impossible with conventional quantum simulators. A complex error syndrome measurement must not be executed in this model. LQBM works at the mixed level of a logical and physical qubit. Probability amplitudes and the number of state vectors are designed at the physical qubit level. The state vectors of physical qubits constituting a logical qubit are abstracted to the value of the logical qubit level. LQBM converts all logical qubit operations, which include an initialization, a state injection, universal gates, and lattice surgery operations (e.g., a merge and a split) to simple calculations.
KSP Keywords
Behavior model, Error syndrome, fast simulation
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