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Dirac (named after Paul Dirac; own notation DIRAC) is a relativistic ab initio quantum chemistry program. The full name is Program for Atomic and Molecular Direct Iterative Relativistic All-electron Calculations, in short PAM DIRAC.
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The Fock space is the (Hilbert) direct sum of tensor products of copies of a single-particle Hilbert space () = = = (()) (())Here , the complex scalars, consists of the states corresponding to no particles, the states of one particle, () the states of two identical particles etc.
[1] [2] Constructor theory expresses physical laws exclusively in terms of which physical transformations, or tasks, are possible versus which are impossible, and why. By allowing such counterfactual statements into fundamental physics, it allows new physical laws to be expressed, such as the constructor theory of information.
Quantum lambda calculi are extensions of the classical lambda calculus introduced by Alonzo Church and Stephen Cole Kleene in the 1930s. The purpose of quantum lambda calculi is to extend quantum programming languages with a theory of higher-order functions. The first attempt to define a quantum lambda calculus was made by Philip Maymin in 1996 ...
Quantum chemistry computer programs are used in computational chemistry to implement the methods of quantum chemistry. Most include the Hartree–Fock (HF) and some post-Hartree–Fock methods. They may also include density functional theory (DFT), molecular mechanics or semi-empirical quantum chemistry methods .
The free fields care for particles in isolation, whereas processes involving several particles arise through interactions. The idea is that the state vector should only change when particles interact, meaning a free particle is one whose quantum state is constant. This corresponds to the interaction picture in quantum mechanics.
In a quantum error-correcting code, the codespace is the subspace of the overall Hilbert space where all logical states live. In an -qubit stabilizer code, we can describe this subspace by its Pauli stabilizing group, the set of all -qubit Pauli operators which stabilize every logical state. The stabilizer formalism allows us to define the ...