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Lattice Surgery

Lattice surgery is a method for performing logical gates between qubits encoded in topolo­gi­cal quantum error-correc­ting codes, most notably the surface code, by merging and split­ting code patches along their bounda­ries instead of using direct trans­ver­sal gates or braiding. In practice, each logical qubit is stored on its own patch of the lattice, and opera­ti­ons like CNOT are imple­men­ted via sequen­ces of joint boundary measu­re­ments that tempo­r­a­rily fuse two patches into a larger code and then separate them again, all while maintai­ning local stabi­li­zer measu­re­ments and active error correc­tion; this approach preser­ves 2D nearest-neigh­bour connec­ti­vity and signi­fi­cantly reduces overhead for scalable fault-tolerant architectures.

Topics in the Subfield Quantum error correction:

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Surface codes

Surface codes are currently the leading archi­tec­ture for practi­cal quantum error correc­tion and are widely regarded as one of the most promi­sing approa­ches due to their…

Color codes

Color codes are topolo­gi­cal quantum error correc­tion codes that encode logical qubits within a two dimen­sio­nal lattice whose faces can be colored using three distinct colors. This struc­ture enables…

Quantum LDPC Codes

Quantum Low Density Parity Check (qLDPC) codes are a class of quantum error correc­tion codes designed to protect quantum infor­ma­tion from noise using sparsely connec­ted parity constraints. Analog­ous to their…

Cat Qubits

Cat qubits are quantum bits encoded in Schrö­din­ger cat states, that is, in super­po­si­ti­ons of two coher­ent states of a harmo­nic oscil­la­tor, typically micro­wave photons stored within a…

Self Correc­ting Quantum Codes

Self-correc­ting quantum codes passi­vely protect data via…

Perfect matching

Perfect matching decoding is an error correc­tion approach that is widely used in topolo­gi­cal quantum error correc­tion codes such as the Surface Code. The central idea is that…

Cluste­ring

In quantum error correc­tion, classi­cal decoders inter­pret error signa­tures (syndro­mes) to fix qubits. Cluste­ring is an…

ML based decoding in QEC

Quantum Error Correc­tion (QEC) genera­tes large amounts of so called syndrome data in order to identify which…

Magic Gate iIjection

Fault tolerant quantum compu­ters rely on quantum error correc­tion codes. However, these codes typically support only a limited…

Code switching

Code switching refers to the process of dynami­cally changing the error correc­tion code used to protect quantum infor­ma­tion, often in order to…

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