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In the King James Version of the Bible the text reads: Enter ye in at the strait gate: for wide is the gate, and broad is the way, that leadeth to destruction, and many there be which go in thereat: The World English Bible translates the passage as: Enter in by the narrow gate; for wide is the gate and broad is the
Arbitrary Clifford group element can be generated as a circuit with no more than (/ ()) gates. [6] [7] Here, reference [6] reports an 11-stage decomposition -H-C-P-C-P-C-H-P-C-P-C-, where H, C, and P stand for computational stages using Hadamard, CNOT, and Phase gates, respectively, and reference [7] shows that the CNOT stage can be implemented using (/ ()) gates (stages -H- and -P ...
Let H be a Hadamard matrix of order n.The transpose of H is closely related to its inverse.In fact: = where I n is the n × n identity matrix and H T is the transpose of H.To see that this is true, notice that the rows of H are all orthogonal vectors over the field of real numbers and each have length .
[2] [3] [4] This set of gates is minimal in the sense that discarding any one gate results in the inability to implement some Clifford operations; removing the Hadamard gate disallows powers of / in the unitary matrix representation, removing the phase gate S disallows in the unitary matrix, and removing the CNOT gate reduces the set of ...
Common quantum logic gates by name (including abbreviation), circuit form(s) and the corresponding unitary matrices. In quantum computing and specifically the quantum circuit model of computation, a quantum logic gate (or simply quantum gate) is a basic quantum circuit operating on a small number of qubits.
The Hadamard transform H m is a 2 m × 2 m matrix, the Hadamard matrix (scaled by a normalization factor), that transforms 2 m real numbers x n into 2 m real numbers X k. The Hadamard transform can be defined in two ways: recursively, or by using the binary (base-2) representation of the indices n and k.
Hadraniel (or Hadrianiel among other variant spellings), whose name means "majesty [or greatness] of God", is an angel in Jewish Angelology assigned as gatekeeper at the second gate in heaven. [1] He is supposed to be more than sixty myriads of parasangs (approximately 2.1 million miles or 3.4 million kilometers) tall and a daunting figure to face.
The Damascus Gate is one of the main Gates of the Old City of Jerusalem. [1] It is located in the wall on the city's northwest side and connects to a highway leading out to Nablus, which in the Hebrew Bible was called Shechem or Sichem, and from there, in times past, to the capital of Syria, Damascus; as such, its modern English name is the Damascus Gate, and its modern Hebrew name is Sha'ar ...