The Code Family `Triangular488`

The 4.8.8 Square-Octagon color code, defined on a lattice where each qubit sits on a vertex shared by two octagons and a square. Each shape has an X and Z check on all the qubits on its vertices. A code of odd distance 𝑑 has (𝑑² - 1)/2 + 𝑑 physical qubits.

summary of all evaluations that have been executed for this code family

References

ECC Zoo entry
QuantumClifford.jl docs

A Few Examples from this Family

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Triangular488(3)

Parity Check Tableau

the parity check tableau of the Triangular488(3) instance of this code family

Encoding Circuit

can be generated with QuantumClifford.naive_encoding_circuit

the encoding circuit of the Triangular488(3) instance of this code family

Naive Syndrome Extraction Circuit

can be generated with QuantumClifford.naive_syndrome_circuit

the naive syndrome extraction circuit of the Triangular488(3) instance of this code family

Shor Syndrome Extraction Circuit

can be generated with QuantumClifford.shor_syndrome_circuit

Triangular488(5)

Parity Check Tableau

the parity check tableau of the Triangular488(5) instance of this code family

Encoding Circuit

can be generated with QuantumClifford.naive_encoding_circuit

the encoding circuit of the Triangular488(5) instance of this code family

Naive Syndrome Extraction Circuit

can be generated with QuantumClifford.naive_syndrome_circuit

the naive syndrome extraction circuit of the Triangular488(5) instance of this code family

Shor Syndrome Extraction Circuit

can be generated with QuantumClifford.shor_syndrome_circuit

Triangular488(7)

Parity Check Tableau

the parity check tableau of the Triangular488(7) instance of this code family

Encoding Circuit

can be generated with QuantumClifford.naive_encoding_circuit

the encoding circuit of the Triangular488(7) instance of this code family

Naive Syndrome Extraction Circuit

can be generated with QuantumClifford.naive_syndrome_circuit

the naive syndrome extraction circuit of the Triangular488(7) instance of this code family

Shor Syndrome Extraction Circuit

can be generated with QuantumClifford.shor_syndrome_circuit

Triangular488(9)

Parity Check Tableau

the parity check tableau of the Triangular488(9) instance of this code family

Encoding Circuit

can be generated with QuantumClifford.naive_encoding_circuit

the encoding circuit of the Triangular488(9) instance of this code family

Naive Syndrome Extraction Circuit

can be generated with QuantumClifford.naive_syndrome_circuit

the naive syndrome extraction circuit of the Triangular488(9) instance of this code family

Shor Syndrome Extraction Circuit

can be generated with QuantumClifford.shor_syndrome_circuit

Performance of Specific Decoders

TODO