The Steane code is a tool in quantum error correction introduced by Andrew Steane in 1996. It is a CSS code (Calderbank-Shor-Steane), using the classical binary [7,4,3] Hamming code to correct for both qubit flip errors (X errors) and phase flip errors (Z errors). The Steane code encodes one logical qubit in 7 physical qubits and is able to correct arbitrary single qubit errors.
Its check matrix in standard form is
where H is the parity-check matrix of the Hamming code and is given by
The Steane code is the first in the family of quantum Hamming codes, codes with parameters for integers . It is also a quantum color code.
The Steanecode is a tool in quantum error correction introduced by Andrew Steane in 1996. It is a CSS code (Calderbank-Shor-Steane), using the classical...
correction, CSS codes, named after their inventors, Robert Calderbank, Peter Shor and Andrew Steane, are a special type of stabilizer code constructed from...
Steane found a code that does the same with 7 instead of 9 qubits, see Steanecode. Raymond Laflamme and collaborators found a class of 5-qubit codes...
author Nina Steane (1932–1990, aka Nina Carroll), English painter Steane Kremerskothen, Australian rules football player from Tasmania Steanecode, mathematical...
are on error correction in quantum information processing, including Steanecodes. He was awarded the Maxwell Medal and Prize of the Institute of Physics...
transversally. For example, the T gate can't be implemented transversely in the Steanecode. This calls for ways of circumventing Eastin–Knill in order to perform...
The toric code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. It is the...
research proposals in quantum information processing. Andrew Steane designs Steanecodes for error correction. David P. DiVincenzo, of IBM, proposes a...
are on error correction in quantum information processing, including Steanecodes. He was awarded the Maxwell Medal and Prize of the Institute of Physics...
In quantum information theory, superdense coding (also referred to as dense coding) is a quantum communication protocol to communicate a number of classical...
7 (4): 61–64. doi:10.1109/MSP.2009.87. ISSN 1558-4046. S2CID 16233643. Steane, Andrew (1 February 1998). "Quantum computing". Reports on Progress in Physics...
political religion, based on the dominance which the Nazi regime had (Gates and Steane). Political religions generally vie with existing traditional religions...
repeat Apply the decoding operation of the five-qubit error correcting code and measure the syndrome. If the measured syndrome is | 0000 ⟩ {\displaystyle...
Quantum block codes are useful in quantum computing and in quantum communications. The encoding circuit for a large block code typically has a high complexity...
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