Definitions

1. A density matrix is used in quantum theory to describe the statistical state of a quantum system[?]. (Web site)
2. The density matrix is used to calculate the expectation value of any operator A of the system, averaged over the different states.
3. The density matrix (commonly designated by ρ) is an operator acting on the Hilbert space of the system in question.
4. The density matrix is a two-by-two matrix with only two eigenvectors and.

Vector

1. This leads to the Bloch sphere representation of the density matrix, in which a particular density matric is represented by the vector. (Web site)

Hydrogen Atom

1. Quantum Mechanics formalism, density matrix, hydrogen atom, symmetries, groups, especially $SU(2)$ and $SO(3)$, Wigner's theorem. (Web site)

Orthonormal

1. However if the kets in the mixture are orthonormal then the original probabilities p j are recoverable as the eigenvalues of the density matrix.

Order

1. In order to study entanglement, a block subsystem is introduced and described by the density matrix.

System

1. Quantum mechanics of an open system: Density matrix.

Density Operator

1. The density operator, like the density matrix, is positive-semidefinite, self-adjoint, and has trace one. (Web site)
2. The operator that is represented by the density matrix is called the density operator. (Web site)

Orthonormal Basis

1. A density operator is an operator corresponding to a density matrix under some orthonormal basis.

Time Evolution

1. The Lindblad equation in quantum mechanics is a generalization of the master equation describing the time evolution of a density matrix.
2. To describe this quantum measurement process we study the time evolution of the density matrix of the coupled system.

S-Matrix

1. S-matrix is generalized to M-matrix defined as the complex square root of density matrix with unitary S-matrix appearing as analog of phase factor. (Web site)

Column Vector

1. The essence of the algorithm is to create a column vector whose number of elements is and then fill it up using one row of the density matrix at the time.

Matrix

1. Therefore the density matrix is a matrix. (Web site)
2. The linear term pulls G toward a direction of high variance of this matrix, whereas the quantum relative entropy pulls G toward the prior density matrix. (Web site)

Quantum

1. A partially known quantum state, such as an ensemble with some quantum numbers fixed, can be described by a density matrix. (Web site)

Quantum Physics

1. In quantum physics, a density matrix for an n -level quantum system is an n × n complex matrix ρ that is positive semidefinite with trace 1.

Pure State

1. For a more general discussion of these concepts see pure state and density matrix.

Density Matrix

1. A density matrix, or density operator, is used in quantum theory to describe the statistical state of a quantum system.
2. We'll say what the atoms are doing using not a pure state (a unit vector) but a mixed state (a density matrix).
3. In quantum mechanics, von Neumann entropy extends the notion of entropy to quantum systems by means of the density matrix.

Categories

1. Pure State
2. Quantum System
3. Information > Science > Physics > Quantum Physics
4. Matrix
5. S-Matrix
6. Books about "Density Matrix" in Amazon.com
   

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