scholarly journals Inequalities related to partial transpose and partial trace

2017 ◽  
Vol 516 ◽  
pp. 1-7 ◽  
Author(s):  
Daeshik Choi
Keyword(s):  
Partial Trace ◽  
Partial Transpose

scholarly journals NUMERICAL SIMULATIONS OF MIXED STATE QUANTUM COMPUTATION

2005 ◽  
Vol 03 (01) ◽  
pp. 195-199 ◽  
Author(s):  
P. GAWRON ◽  
J. A. MISZCZAK
Keyword(s):  
Quantum Algorithms ◽  
Building Blocks ◽  
Quantum Error Correction ◽  
Quantum Mechanical ◽  
Error Correction Codes ◽  
Mixed States ◽  
Partial Trace ◽  
Shor's Algorithm ◽  
Partial Transpose ◽  
Quantum Error

We describe the [Formula: see text] package of functions useful for simulations of quantum algorithms and protocols. The presented package allows one to perform simulations with mixed states. We present numerical implementation of important quantum mechanical operations — partial trace and partial transpose. Those operations are used as building blocks of algorithms for analysis of entanglement and quantum error correction codes. A simulation of Shor's algorithm is presented as an example of package capabilities.

scholarly journals Optimal Entanglement Certification from Moments of the Partial Transpose

2021 ◽  
Vol 127 (6) ◽  
Author(s):  
Xiao-Dong Yu ◽  
Satoya Imai ◽  
Otfried Gühne
Keyword(s):  
Partial Transpose

Interplay between classical and quantum signals: partial trace and measurement channels

2010 ◽  
Vol 31 (6) ◽  
pp. 589-598
Author(s):  
Andrei Khrennikov ◽  
Masanori Ohya ◽  
Naboru Watanabe
Keyword(s):  
Partial Trace ◽  
Measurement Channels

scholarly journals Bounds on Mixed State Entanglement

Entropy ◽  
2020 ◽  
Vol 22 (1) ◽  
pp. 62 ◽  
Author(s):  
Bruno Leggio ◽  
Anna Napoli ◽  
Hiromichi Nakazato ◽  
Antonino Messina
Keyword(s):  
Mixed State ◽  
General Framework ◽  
Quantum Correlations ◽  
Thermal Entanglement ◽  
Mixed States ◽  
Clear Explanation ◽  
Finite Dimensionality ◽  
Partial Transpose ◽  
The Subject

In the general framework of d 1 × d 2 mixed states, we derive an explicit bound for bipartite negative partial transpose (NPT) entanglement based on the mixedness characterization of the physical system. The derived result is very general, being based only on the assumption of finite dimensionality. In addition, it turns out to be of experimental interest since some purity-measuring protocols are known. Exploiting the bound in the particular case of thermal entanglement, a way to connect thermodynamic features to the monogamy of quantum correlations is suggested, and some recent results on the subject are given a physically clear explanation.

Sign in / Sign up

Export Citation Format

Share Document