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The general definition of a qubit as the quantum state of a two-level quantum system.In quantum computing, a qubit (/ ˈ k juː b ɪ t /) or quantum bit is a basic unit of quantum information—the quantum version of the classic binary bit physically realized with a two-state device.
A logical qubit specifies how a single qubit should behave in a quantum algorithm, subject to quantum logic operations which can be built out of quantum logic gates. However, issues in current technologies preclude single two-state quantum systems , which can be used as physical qubits, from reliably encoding and retaining this information for ...
An n-qubit (reversible) quantum gate is a unitary mapping U from the space H QB(n) of n-qubit registers onto itself. Typically, we are only interested in gates for small values of n . A reversible n -bit classical logic gate gives rise to a reversible n -bit quantum gate as follows: to each reversible n -bit logic gate f corresponds a quantum ...
An example of quantum information is the general dynamics of a qubit. An example of classical information is a text document transmitted over the Internet . Terminologically, quantum channels are completely positive (CP) trace-preserving maps between spaces of operators.
This difference is, for example, illustrated by the following interesting property of the W state: if one of the three qubits is lost, the state of the remaining 2-qubit system is still entangled. This robustness of W-type entanglement contrasts strongly with the GHZ state, which is fully separable after loss of one qubit.
Example: The qubit is measured, and the result of this measurement is a Boolean value, which is consumed by the classical computer. If ϕ {\displaystyle \phi } measures to 1, then the classical computer tells the quantum computer to apply the U gate on ψ {\displaystyle \psi } .
A combination of those measurements on each of the three qubits can be regarded as a destructive multi-qubit Pauli measurement, the result of which being the product of each single-qubit Pauli measurement. For example, the combination "circular polarizer on photons 1 and 2, 45° linear polarizer on photon 3" corresponds to a measurement, and ...
A NOT gate, for example, can be constructed from a Toffoli gate by setting the three input bits to {a, 1, 1}, making the third output bit (1 XOR (a AND 1)) = NOT a; (a AND b) is the third output bit from {a, b, 0}. Essentially, this means that one can use Toffoli gates to build systems that will perform any desired Boolean function computation ...
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