I'm not sure what the "I" and "-I" gates do. the well known Fredkin and Toffoli gate, were proposed 23,24,25,26 and implemented 27 with linear optics.
On the CNOT-cost of the TOFFOLI gate ... magic decomposition was used previously to perform CNOT-counting for two-qubit oper-ators [15]. We implement example algorithms and generate the highest-fidelity … There are reversible circuits (such as Fredkin gate) that are conservative, but most such circuits are not conservative (for instance Toffoli gate is not conservative).
Moreover, numerous multi-qubit photonic gates, e.g.
36 Direction of synthesis. If I then apply the tensor product to apply the 'i' gate on the last 2 bits, I get a 4x1 matrix but then the 'i'-gates are 2x2 so I'm obviously missing something. qubit gates. The object created by such calls is an Operation.Alternatively, a Gate can be thought of as a factory that, given input qubits, generates an associated GateOperation object.
In this paper, we realize the logic function of a Fredkin gate based upon two simple reversible elements (Lee, et al. The Fredkin gate (Fredkin & Toffoli, 1982) is a Boolean logic gate that consists of 3 inputs and 3 outputs.
Decompositional synthesis of Toffoli Gate from Fredkin and Feynman Gates. Read from left to right they transform the left side of the specification to the right side, and vice versa. –Every Boolean function can be build from 3 * 3 Fredkin gates: P = … Second stage of decomposition Fredkin gate.
We begin by describing the concept of our experiment.
QUANTUM COMPUTATION If we are able to prepare a constant bit (x= 0 or x= 1), we can reduce the number of elementary operations from two to one. The CNOT gate has been experimentally demonstrated with linear optics 17,18,19,20, as well as another two-qubit photonic gate, c-phase gate 21,22. Gates can be applied to qubits by calling their on method, or, alternatively calling the gate on the qubits.
By adding control to the SWAP unitary, we use photonic qubit logic to demonstrate the first quantum Fredkin gate, which promises many applications in quantum information and measurement.
It also contains functions for decomposing multiple controls.
A quantum Fredkin gate, powered by entanglement, acting on photonic qubits.
Implementation of a quantum controlled-SWAP gate with photonic … Quipper.Libraries.GateDecompositions.
would be desirable to be able to construct a quantum Fredkin gate direc tly without decomposition and avoid th e associated resource overhead.
Third stage of decomposition Feynman gate. Gates¶. However concatenating multiple probabilistic gates in this fashion typically leads to a multiplicative reduction in the overall probability of success of <1=100. Minimizing the resources required to build logic gates into useful processing circuits is key to realizing quantum computers. Hence it would be desirable to be able to construct a quantum Fredkin gate directly without decomposition and avoid the associated resource over-head.