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Once the logical qubit is encoded, errors on the physical qubits can be detected via stabilizer measurements. A lookup table that maps the results of the stabilizer measurements to the types and locations of the errors gives the control system of the quantum computer enough information to correct errors. [4]
In the Hadamard basis, bit flips become sign flips and sign flips become bit flips. Let E phase {\displaystyle E_{\text{phase}}} be a quantum channel that can cause at most one phase flip. Then the bit-flip code from above can recover | ψ {\displaystyle |\psi \rangle } by transforming into the Hadamard basis before and after transmission ...
Download QR code; Print/export ... A stabilizer quantum error-correcting code appends ancilla qubits to qubits that we ... be the set of phase-free Pauli operators ...
Many early video terminals and dot-matrix printers rendered the vertical bar character as the allograph broken bar ¦. This may have been to distinguish the character from the lower-case 'L' and the upper-case ' I ' on these limited-resolution devices, and to make a vertical line of them look more like a horizontal line of dashes.
Stabilizer operators are defined on the spins around each vertex and plaquette [definition needed] (or face i.e. a vertex of the dual lattice) [clarification needed] of the lattice as follows, A v = ∏ i ∈ v σ i x , B p = ∏ i ∈ p σ i z . {\displaystyle A_{v}=\prod _{i\in v}\sigma _{i}^{x},\,\,B_{p}=\prod _{i\in p}\sigma _{i}^{z}.}
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 codespace of a stabilizer code by specifying its Pauli stabilizing group.
An anti-sway or anti-roll bar is intended to reduce the lateral tilt (roll) of the vehicle on curves, sharp corners, or large bumps. Although there are many variations in design, the object is to induce a vehicle's body to remain as level as possible by forcing the opposite wheel's shock absorber , spring, or suspension rod in the same ...
The 32-bit variants of Windows 10 will remain available via non-OEM channels, and Microsoft will continue to "[provide] feature and security updates on these devices". [293] This was later followed by Windows 11 dropping support for 32-bit hardware altogether, thus making Windows 10 the final version of Windows to have a 32-bit version ...