Error message
- Deprecated function: TYPO3\PharStreamWrapper\Manager::initialize(): Implicitly marking parameter $resolver as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: TYPO3\PharStreamWrapper\Manager::initialize(): Implicitly marking parameter $collection as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: TYPO3\PharStreamWrapper\Manager::__construct(): Implicitly marking parameter $resolver as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: TYPO3\PharStreamWrapper\Manager::__construct(): Implicitly marking parameter $collection as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: UpdateQuery::expression(): Implicitly marking parameter $arguments as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: MergeQuery::expression(): Implicitly marking parameter $arguments as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryInterface::getArguments(): Implicitly marking parameter $queryPlaceholder as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryInterface::preExecute(): Implicitly marking parameter $query as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryExtender::getArguments(): Implicitly marking parameter $queryPlaceholder as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryExtender::preExecute(): Implicitly marking parameter $query as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQuery::getArguments(): Implicitly marking parameter $queryPlaceholder as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQuery::preExecute(): Implicitly marking parameter $query as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
In
quantum
information theory, separable operations on a
general multipartite
quantum
state is an operations with product
Kraus
operators.
Abstract mathematical definition for the case of $K$-partite quantum
state $\rho$ can be formulated as
$$\rho\mapsto\rho^{\prime}=\Lambda(\rho)=\sum_{k=1}^N A_k\rho
A_k^{\dagger},$$ with operators $A_k$ satisfying following conditions:
$$\sum_{k=1}^N A_k^{\dagger}A_k=\mathbb{I}$$ $$A_k=\otimes_{l=1}^K
A_{k,l}$$
LOCC
operations are subclass of separable operations.
Separable operations play a big role in
state
distinguishability and state discrimination.
References
- V. Gheorghiu, R. B. Griffiths, Phys. Rev. A
78, 020304 (R) (2008)
- V. Gheorghiu, R. B. Griffiths, Phys. Rev. A
76, 032310 (2007)
- R. Duan, Y. Feng, Y. Xin, M. Ying, arXiv:0705.0795
[quant-ph]
Category:Handbook
of Quantum Information
Last modified:
Friday, July 7, 2017 - 21:09
