Glossary

Controlled Not Gate

A controlled-NOT (CNOT) gate is a two-A qubit is the basic unit of quantum information, representing a superposition of 0 and 1 states.
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A quantum gate is a basic operation that changes the state of one or more qubits, similar to how a logic gate operates on bits in classical computing. It uses unitary transformations, meaning it preserves the total probability (the state’s length in complex space). Quantum gates enable superposition and entanglement, allowing quantum computers to perform computations that classical ones cannot efficiently replicate.
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where the first A qubit is the basic unit of quantum information, representing a superposition of 0 and 1 states.
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(control) determines whether the second A qubit is the basic unit of quantum information, representing a superposition of 0 and 1 states.
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(target) is flipped on the -axis. If the control A qubit is the basic unit of quantum information, representing a superposition of 0 and 1 states.
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is in state is a basis state.
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, the target A qubit is the basic unit of quantum information, representing a superposition of 0 and 1 states.
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A quantum state is the complete mathematical description of a quantum system, containing all the information needed to predict measurement outcomes. It’s usually represented by a wavefunction or a state vector in a Hilbert space. The state defines probabilities, not certainties, for observable quantities like position, momentum, or spin.
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is inverted . If the control is is a basis state.
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, the target is unchanged. It’s essential for creating entanglement, since applying aCNOT to a superposed control qubit links the states of both qubits.

by Frank Zickert