logic circuits, the Toffoli gate, also known as the CCNOT gate (“controlled-controlled-not”), invented by Tommaso Toffoli, is a CNOT gate with two control...

reversible gates. For example, the reversible Toffoli gate can implement all Boolean functions, often at the cost of having to use ancilla bits. The Toffoli gate...

invention of the Toffoli gate. He was born in June, 1943 in Montereale Valcellina, in northeastern Italy, to Francesco and Valentina (Saveri) Toffoli and was raised...

and only if, the first bit is 1. The Fredkin gate, conceptualized by Edward Fredkin and Tommaso Toffoli at the MIT Laboratory for Computer Science, represents...

Toffoli (born 1943), Italian-American professor of engineering at Boston University Toffoli gate, a reversible logic gate invented by Tommaso Toffoli...

(2016-02-10). "Advantages of using relative-phase Toffoli gates with an application to multiple control Toffoli optimization". Physical Review A. 93 (2): 022311...

competition. Toffoli gate (controlled-controlled-NOT gate) Note that | + ⟩ {\displaystyle |+\rangle } can be constructed by applying a Hadamard gate to a qubit...

quantum gates into simple gates. For example, by placing controls on ancilla bits, a Toffoli gate can be used as a controlled NOT gate or a NOT gate.: 29 ...

indirect Bell measurement is performed by applying a gate U T {\displaystyle U_{T}} , which is the Toffoli gate with one-control qubit replaced by a zero-control...

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...

automaton, a variant of reversible cellular automata Toffoli gate – Universal reversible logic gate, applied in quantum computing Superconducting quantum...

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...

temperature change. Time reversibility Carnot cycle Entropy production Toffoli gate Time evolution Quantum circuit Reversible computing Maxwell's demon Stirling...

other three-input universal logic gates, such as the Toffoli gate. In quantum computing, the Hadamard gate and the T gate are universal, albeit with a slightly...

and the buffers around them to form a reversible Toffoli gate, from which any other Boolean logic gate may be simulated. Therefore, suitably configured...

computer-networking architecture Controlled-Controlled Not Gate (also known as a Toffoli gate), a component of a reversible computer Cyclomatic Complexity...

rotations over Clifford+T gate library Optimization of multiple control Toffoli-gate implementation using relative-phase Toffoli gates Multiple results on the...

256-bit modulus (128-bit security level) are 2330 qubits and 126 billion Toffoli gates. For the binary elliptic curve case, 906 qubits are necessary (to break...

circuits for 2-qubit unitary matrices. For the 3-qubit Toffoli gate, he proved that six CNOT gates are necessary in a circuit that implements it, showing...

If more complex hardware gates are available, such as the three-qubit Toffoli gate, it is possible that εeff < ε. The allowable circuit depth decreases...

briefly motivates the idea of quantum computing. Tommaso Toffoli introduces the reversible Toffoli gate, which (together with initialized ancilla bits) is functionally...

invented by Galileo Galilei in 1593. Toffoli gate: a universal reversible logic gate invented by Tommaso Toffoli. Public toilets: latrines were part of...

Code drift Using continuous variables Shor's fault tolerant toffoli gate Teleportation of gates Magic state distillation Multiple partitions Pieceable fault...

digital quantum simulation, quantum nonlocality, the implementation of the Toffoli gate in quantum computation, deterministic quantum teleportation, and the...

Pancotti, Nicola; Bose, Sougato (2016-07-19). "Quantum gate learning in qubit networks: Toffoli gate without time-dependent control". npj Quantum Information...

Creating a logical conjunction of the five controls out of Toffoli gates and ancilla bits. Uncomputation is used to restore the ancilla bits to their...

superpositioning to qubits via controlled NOT gates and Hadamard gates, respectively, as well as Toffoli Gates, Pauli X, Y, Z Gate, and many more which are used for...

that generalizes the Hadamard gate from the ZX-calculus. It can naturally describe quantum circuits involving Toffoli gates. Up to scalars, the phase-free...

Santiago, D.I.; Siddiqi, I. (2 May 2022). "High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits". Nature Physics. 18 (5):...

also known as Dadda and Wallace multipliers. Using only the Toffoli and CNOT quantum logic gates, it is possible to produce quantum full- and half-adders...