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An example of a stabilizer code is the five qubit [[,,]] stabilizer code. It encodes = logical qubit into = physical qubits and protects against an arbitrary single ...
In a quantum error-correcting code, the codespace is the subspace of the overall Hilbert space where all logical states live. In an -qubit stabilizer code, we can describe this subspace by its Pauli stabilizing group, the set of all -qubit Pauli operators which stabilize every logical state. The stabilizer formalism allows us to define the ...
The means to perform quantum computation on logical information stored within the toric code has been considered, with the properties of the code providing fault-tolerance. It has been shown that extending the stabilizer space using 'holes', vertices or plaquettes on which stabilizers are not enforced, allows many qubits to be encoded into the ...
Entanglement-assisted stabilizer formalism. In the theory of quantum communication, the entanglement-assisted stabilizer formalism is a method for protecting quantum information with the help of entanglement shared between a sender and receiver before they transmit quantum data over a quantum communication channel.
For example, to measure the first stabilizer (), a parity measurement of of the first qubit, on the second, on the third, on the fourth , and on the fifth is performed. Since there are four stabilizers, 4 ancillas will be used to measure them.
One example of a code that does this is the Shor code, published in 1995. [ 2 ] [ 5 ] : 10 Since these two types of errors are the only types of errors that can result after a projective measurement, a Shor code corrects arbitrary single-qubit errors.
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Interbreeding and disease meant the breed’s extinction by the mid-nineteenth century, with the last remaining examples, a mother and her pup, now on display in the Museum of New Zealand Te Papa ...