Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics Letters

Conditions for Local Entanglement Manipulation from Pure States to Mixed States

梁林梅, 黄明球

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

We discuss the transformation from pure states to mixed states in a bipartite system HA×HB and provide the sufficient condition for this transformation.We also provide a necessary and sufficient condition for one chass of this transformation.Meanwhile,the method of realization for the transformation from pure states to mixed states is also present.Furthermore,we briefly discuss the application.

Related papers

Conditions for Local Entanglement Manipulation from Pure States to Mixed States

Lin-Mei Liang, Ping‐Xing Chen, Cheng-Zu Li +1 more

We discuss the transformation from pure states to mixed states in a bipartite system H A ⊗ H B and provide the sufficient condition for this transformation. We also provide a necessary and sufficient condition for one class of this transformation. Meanwhile, the method of realization for the transformation from pure states to mixed states is also present. Furthermore, we briefly discuss the application.

Chinese Physics Letters•Feb 1, 2002•0 citations

Algorithm for entanglement transformation of pure states

Yongming Li

The quantum entanglement is the necessary resource,which could realize some quantum tasks.It is very important to study the algorithm for the entanglement transformation between the quantum states determinately or probability.An algorithm first is presented that transforms one pure bipartite quantum state into a mixed bipartite by Local Operations and Classical Communication(LOCC),this algorithm is much simpler than the original algorithm.The algorithm for the transformation between two pure bipartite states with catalysis by LOCC is then discussed.

Computer Engineering and Applications Journal•Jan 1, 2008•0 citations

Catalysis of Entanglement Manipulation for Mixed States

Jens Eisert, Martin Wilkens

We consider entanglement-assisted remote quantum state manipulation of bipartite mixed states. Several aspects are addressed: we present a class of mixed states of rank two that can be transformed into another class of mixed states under entanglement-assisted local operations with classical communication, but for which such a transformation is impossible without assistance. Furthermore, we demonstrate enhancement of the efficiency of purification protocols with the help of entanglement-assisted operations. Finally, transformations from one mixed state to mixed target states which are sufficiently close to the source state are contrasted with similar transformations in the pure-state case.

arXiv:quant-ph/9912080•Physical Review Letters•Jul 10, 2000•43 citations

Entanglement transformations of pure Gaussian states

G. Giedke, Jens Eisert, J. I. Cirac +1 more

We present a theory of entanglement transformations of Gaussian pure states with local Gaussian operations and classical communication. This is the experimentally accessible set of operations that can be realized with optical elements such as beam splitters, phase shifts and squeezers, together with homodyne measurements. We provide a simple necessary and sufficient condition for the possibility to transform a pure bipartite Gaussian state into another one. We contrast our criterion with what is possible if general local operations are available.

arXiv:quant-ph/0301038•Quantum Information and Computation•May 1, 2003•74 citations

Minimal Conditions for Local Pure-State Entanglement Manipulation

Daniel Jonathan, Martin Bodo Plenio

We find a minimal set of necessary and sufficient conditions for the existence of a local procedure that converts a finite pure state into one of a set of possible final states. This result provides a powerful method for obtaining optimal local entanglement manipulation protocols for pure initial states. As an example, we determine analytically the optimal distillable entanglement for arbitrary finite pure states. We also construct an explicit protocol achieving this bound.

arXiv:quant-ph/9903054•Physical Review Letters•Aug 16, 1999•217 citations

Conditions for manipulation of a set of entangled pure states

Chuanwei Zhang, Chuan‐Feng Li, Guang‐Can Guo

We derive a sufficient condition for a set of pure states, each entangled in two remote $N$-dimensional systems, to be transformable to $k$-dimensional-subspace equivalent entangled states ($k\leq N$) by same local operations and classical communication. If $k=N$, the condition is also necessary. This condition reveals the function of the relative marginal density operators of the entangled states in the entanglement manipulation without sufficient information of the initial states.

arXiv:quant-ph/0002068•Feb 24, 2000•0 citations
We discuss the transformation from pure states to mixed states in a bipartite system HA×HB and provide the sufficient condition for this transformation.We also provide a necessary and sufficient condition for one chass of this transformation.Meanwhile,the method of realization for the transformation from pure states to mixed states is also present.Furthermore,we briefly discuss the application.
The quantum entanglement is the necessary resource,which could realize some quantum tasks.It is very important to study the algorithm for the entanglement transformation between the quantum states determinately or probability.An algorithm first is presented that transforms one pure bipartite quantum state into a mixed bipartite by Local Operations and Classical Communication(LOCC),this algorithm is much simpler than the original algorithm.The algorithm for the transformation between two pure bipartite states with catalysis by LOCC is then discussed.
We consider entanglement-assisted remote quantum state manipulation of bipartite mixed states. Several aspects are addressed: we present a class of mixed states of rank two that can be transformed into another class of mixed states under entanglement-assisted local operations with classical communication, but for which such a transformation is impossible without assistance. Furthermore, we demonstrate enhancement of the efficiency of purification protocols with the help of entanglement-assisted operations. Finally, transformations from one mixed state to mixed target states which are sufficiently close to the source state are contrasted with similar transformations in the pure-state case.
We present a theory of entanglement transformations of Gaussian pure states with local Gaussian operations and classical communication. This is the experimentally accessible set of operations that can be realized with optical elements such as beam splitters, phase shifts and squeezers, together with homodyne measurements. We provide a simple necessary and sufficient condition for the possibility to transform a pure bipartite Gaussian state into another one. We contrast our criterion with what is possible if general local operations are available.
We derive a sufficient condition for a set of pure states, each entangled in two remote NNN-dimensional systems, to be transformable to kkk-dimensional-subspace equivalent entangled states (k≤Nk\leq Nk≤N) by same local operations and classical communication. If k=Nk=Nk=N, the condition is also necessary. This condition reveals the function of the relative marginal density operators of the entangled states in the entanglement manipulation without sufficient information of the initial states.