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gptkbp:instanceOf
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quantum error correcting code
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gptkbp:alsoKnownAs
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gptkb:Steane_code
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gptkbp:basedOn
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gptkb:classical_[7,4,3]_Hamming_code
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gptkbp:category
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quantum error correction
quantum information
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gptkbp:corrects
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any single-qubit error
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gptkbp:distance
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3
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gptkbp:encodes
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1 logical qubit
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https://www.w3.org/2000/01/rdf-schema#label
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7-qubit Steane code
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gptkbp:introducedIn
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1996
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gptkbp:isCSSCode
|
true
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gptkbp:isStabilizerCode
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true
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gptkbp:logicalOneState
|
(1/√8)(|1111111⟩+|0101010⟩+|1001100⟩+|0011001⟩+|1110000⟩+|0100101⟩+|1000011⟩+|0010110⟩)
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gptkbp:logicalZeroState
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(1/√8)(|0000000⟩+|1010101⟩+|0110011⟩+|1100110⟩+|0001111⟩+|1011010⟩+|0111100⟩+|1101001⟩)
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gptkbp:namedAfter
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gptkb:Andrew_Steane
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gptkbp:stabilizerGenerators
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X I X I X I X
X X I I X X I
X X X X I I I
Z I Z I Z I Z
Z Z I I Z Z I
Z Z Z Z I I I
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gptkbp:supportsTransversalGates
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gptkb:Hadamard
gptkb:Phase_gate
gptkb:CNOT
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gptkbp:usedIn
|
fault-tolerant quantum computation
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gptkbp:uses
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7 physical qubits
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gptkbp:bfsParent
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gptkb:stabilizer_codes
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gptkbp:bfsLayer
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6
|