WebAs mentioned before, single-qubit gates are represented by a unitary matrix The action of the quantum gate is found by multiplying the matrix representing the gate with the vector representing the quantum state: A general unitary must be able to take the state to the above general state while satisfying . From this, you can derive. There exists an uncountably infinite number of gates. Some of them have been named by various authors, and below follow some of those most often used in the literature. The identity gate is the identity matrix, usually written as I, and is defined for a single qubit as

Realization of the Quantum Toffoli Gate with Trapped Ions

WebApr 12, 2024 · Learn about quantum logic gates, the building blocks of quantum computing, ... An example is the Toffoli gate, which flips the third qubit if both the first and second qubits are 1. WebApr 10, 2024 · Quantum 101. Quantum computers harness the laws of physics at the tiniest scales. ... Their technique expands logic operations for quantum computers, and includes … solve 9c + 4 −23

Title: Improved Quantum Cost for n-bit Toffoli Gates - arXiv.org

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 … See more An input-consuming logic gate L is reversible if it meets the following conditions: L(x) = y is a gate where for any output y, there is a unique input x. The gate L is reversible if there is a gate L′(y) = x which maps y to x. … See more Any reversible gate that consumes its inputs and allows all input computations must have no more input bits than output bits, by the See more Any reversible gate can be implemented on a quantum computer, and hence the Toffoli gate is also a quantum operator. However, the Toffoli gate can not be used for universal quantum computation, though it does mean that a quantum computer can … See more • CNOT and Toffoli Gates in Multi-Qubit Setting at the Wolfram Demonstrations Project. See more • The Fredkin gate is a universal reversible 3-bit gate that swaps the last two bits if the first bit is 1; a controlled-swap operation. • The n-bit Toffoli gate is a generalization of the … See more • Controlled NOT gate • Fredkin gate • Reversible computing • Bijection • Quantum computing See more WebDec 14, 2011 · The Toffoli gate is a three-quantum-bit (three-qubit) operation that inverts the state of a target qubit conditioned on the state of two control qubits. It makes universal … WebSep 15, 2024 · A series of quantum logic gates including a three-qubit Fredkin gate, a three-qubit Toffoli gate, and other two-qubit quantum gates are implemented in a silicon … solve 9c+1 10