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5 days ago · The semigroup approach is particularly nice, because it distinguishes between the unitary and decohering (non-unitary) processes, which is not the case with the OSR. In particular, the non-unitary dynamics are represented by L D {\displaystyle L_{D}} , whereas the unitary dynamics of the state are represented by the usual Heisenberg commutator .
1 day ago · Quantum System One, a quantum computer by IBM from 2019 with 20 superconducting qubits. A quantum computer is a computer that takes advantage of quantum mechanical phenomena. On small scales, physical matter exhibits properties of both particles and waves, and quantum computing leverages this behavior, specifically quantum superposition and entanglement, using specialized hardware that ...
1 day ago · Science is a rigorous, systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the world. Modern science is typically divided into three major branches: the natural sciences (e.g., physics, chemistry, and biology), which study the physical world; the social sciences (e.g., economics, psychology, and sociology), which study individuals ...
Apr 16, 2024 · Science defined simply as knowledge of natural processes is universal among humankind, and it has existed since the dawn of human existence. The mere recognition of regularities does not exhaust the full meaning of science, however. In the first place, regularities may be simply constructs of the human mind.
- L. Pearce Williams
1 day ago · In general, a science involves a pursuit of knowledge covering general truths or the operations of fundamental laws. Science can be divided into different branches based on the subject of study. The physical sciences study the inorganic world and comprise the fields of astronomy, physics, chemistry, and the Earth sciences.
- The Editors of Encyclopaedia Britannica
5 days ago · Its eigenspaces are orthogonal. U can be written as U = eiH, where e indicates the matrix exponential, i is the imaginary unit, and H is a Hermitian matrix. For any nonnegative integer n, the set of all n × n unitary matrices with matrix multiplication forms a group, called the unitary group U (n) . Any square matrix with unit Euclidean norm ...
3 days ago · Albert Einstein (born March 14, 1879, Ulm, Württemberg, Germany—died April 18, 1955, Princeton, New Jersey, U.S.) was a German-born physicist who developed the special and general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect.
