Observable (quantum computation): Difference between revisions
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In quantum mechanics, an '''observable''' is a property of the system, whose value may be determined by performing physical operations on the system. To every observable of the system, there is a corresponding self-adjoint operator, that is to say one whose matrix is [[Hermitian matrix|Hermitian]]. Upon measurement, the value of the observable must become sharp. This means that the observable takes a value which is one of the [[Eigenvalue|eigenvalues]] of the Hermitian matrix. It is the case that for certain observables the expectation value of it (notated by angular brackets) may not be one of the eigenvalues of the matrix. | ==Introduction== | ||
In quantum mechanics, an '''observable''' is a property of the system, whose value may be determined by performing physical operations on the system. To every observable of the system, there is a corresponding self-adjoint operator, that is to say one whose matrix is [[Hermitian matrix|Hermitian]]. Upon measurement, the value of the observable must become sharp. This means that the observable takes a value which is one of the [[Eigenvalue|eigenvalues]] of the Hermitian matrix. This set of values is the observable's spectrum. It is the case that for certain observables the expectation value of it (notated by angular brackets) may not be one of the eigenvalues of the matrix. | |||
==Algebra== | |||
===Expectation value function=== | |||
===Static Constitution=== | |||
===Dynamics=== | |||
[[Category:CZ Live]] | |||
[[Category:Physics Workgroup]] | |||
[[Category:Mathematics Workgroup]] | |||
Revision as of 09:54, 22 April 2007
Introduction
In quantum mechanics, an observable is a property of the system, whose value may be determined by performing physical operations on the system. To every observable of the system, there is a corresponding self-adjoint operator, that is to say one whose matrix is Hermitian. Upon measurement, the value of the observable must become sharp. This means that the observable takes a value which is one of the eigenvalues of the Hermitian matrix. This set of values is the observable's spectrum. It is the case that for certain observables the expectation value of it (notated by angular brackets) may not be one of the eigenvalues of the matrix.