Universal reversible logic gate, applied in quantum computing
In logic circuits, the Toffoli gate (also CCNOT gate), invented by Tommaso Toffoli, is a universal reversible logic gate, which means that any classical reversible circuit can be constructed from Toffoli gates. It is also known as the "controlled-controlled-not" gate, which describes its action. It has 3-bit inputs and outputs; if the first two bits are both set to 1, it inverts the third bit, otherwise all bits stay the same.
In logic circuits, the Toffoligate (also CCNOT gate), invented by Tommaso Toffoli, is a universal reversible logic gate, which means that any classical...
reversible gates. For example, the reversible Toffoligate can implement all Boolean functions, often at the cost of having to use ancilla bits. The Toffoli gate...
invention of the Toffoligate. He was born in June, 1943 in Montereale Valcellina, in northeastern Italy, to Francesco and Valentina (Saveri) Toffoli and was raised...
Quantum computing Quantum gate Quantum circuit Quantum programming Toffoligate, which is a controlled-controlled-NOT gate. Brown, Julian, The Quest for...
Toffoli (born 1943), Italian-American professor of engineering at Boston University Toffoligate, a reversible logic gate invented by Tommaso Toffoli...
(2016-02-10). "Advantages of using relative-phase Toffoligates with an application to multiple control Toffoli optimization". Physical Review A. 93 (2): 022311...
quantum gates into simple gates. For example, by placing controls on ancilla bits, a Toffoligate can be used as a controlled NOT gate or a NOT gate.: 29 ...
gate (also called CNOT gate) WCNOT defined on a quantized 2 qubit. Other examples of quantum logic gates derived from classical ones are the Toffoli gate...
quantum logic gates from a fairly small family of gates. A choice of gate family that enables this construction is known as a universal gate set, since a...
other three-input universal logic gates, such as the Toffoligate. In quantum computing, the Hadamard gate and the T gate are universal, albeit with a slightly...
rotations over Clifford+T gate library Optimization of multiple control Toffoli-gate implementation using relative-phase Toffoligates Multiple results on the...
briefly motivates the idea of quantum computing. Tommaso Toffoli introduces the reversible Toffoligate, which (together with initialized ancilla bits) is functionally...
If more complex hardware gates are available, such as the three-qubit Toffoligate, it is possible that εeff < ε. The allowable circuit depth decreases...
digital quantum simulation, quantum nonlocality, the implementation of the Toffoligate in quantum computation, deterministic quantum teleportation, and the...
invented by Galileo Galilei in 1593. Toffoligate, a universal reversible logic gate invented by Tommaso Toffoli. Public toilets: latrines were part of...
computer-networking architecture Controlled-Controlled Not Gate (also known as a Toffoligate), a component of a reversible computer Cyclomatic Complexity...
circuits for 2-qubit unitary matrices. For the 3-qubit Toffoligate, he proved that six CNOT gates are necessary in a circuit that implements it, showing...
superpositioning to qubits via Controlled NOT gates and Hadamard gates, respectively, as well as ToffoliGates, Pauli X, Y, Z Gate, and many more which are used for...
Creating a logical conjunction of the five controls out of Toffoligates and ancilla bits. Uncomputation is used to restore the ancilla bits to their...
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