Entanglement in four qubit states: Polynomial invariant of degree 2, genuine multipartite concurrence and one-tangle

2019 ◽  
Vol 383 (8) ◽  
pp. 707-717 ◽  
Author(s):  
M.A. Jafarizadeh ◽  
M. Yahyavi ◽  
N. Karimi ◽  
A. Heshmati
Keyword(s):  
Polynomial Invariant ◽  
Qubit States

Measurability of the polynomial invariant of degree 2 for even-N qubit states

2019 ◽  
Vol 18 (8) ◽  
Author(s):  
Ahmad Heshmati ◽  
Marziyeh Yahyavi ◽  
Naser Karimi ◽  
Mohammad Ali Jafarizadeh ◽  
Payman Mahmoudi
Keyword(s):  
Polynomial Invariant ◽  
Qubit States

scholarly journals Optimal two-qubit states for quantum teleportation vis-à-vis state properties

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
Arkaprabha Ghosal ◽  
Debarshi Das ◽  
Saptarshi Roy ◽  
Somshubhro Bandyopadhyay
Keyword(s):  
Quantum Teleportation ◽  
Qubit States

Coherent control of $$^{171}\mathrm{Yb}^{+}$$ ion qubit states and thermometry using motional decoherence

2021 ◽  
Vol 78 (4) ◽  
pp. 251-258
Author(s):  
Honggi Jeon ◽  
Nojun Park ◽  
Jiyong Yu ◽  
Yeong-Dae Kwon ◽  
Dahyun Yum ◽  
...  
Keyword(s):  
Coherent Control ◽  
Qubit States

scholarly journals Constraint Relation Between Steerability and Concurrence for Two‐Qubit States

2021 ◽  
pp. 2100098
Author(s):  
Xiao‐Gang Fan ◽  
Huan Yang ◽  
Fei Ming ◽  
Dong Wang ◽  
Liu Ye
Keyword(s):  
Constraint Relation ◽  
Qubit States

scholarly journals FROM RIBBON CATEGORIES TO GENERALIZED YANG–BAXTER OPERATORS AND LINK INVARIANTS (AFTER KITAEV AND WANG)

2013 ◽  
Vol 24 (01) ◽  
pp. 1250126 ◽  
Author(s):  
SEUNG-MOON HONG
Keyword(s):  
The Other ◽  
Polynomial Invariant ◽  
Link Invariants ◽  
Fusion Categories ◽  
New Family ◽  
Kauffman Polynomial ◽  
Twist Structure

We consider two approaches to isotopy invariants of oriented links: one from ribbon categories and the other from generalized Yang–Baxter (gYB) operators with appropriate enhancements. The gYB-operators we consider are obtained from so-called gYBE objects following a procedure of Kitaev and Wang. We show that the enhancement of these gYB-operators is canonically related to the twist structure in ribbon categories from which the operators are produced. If a gYB-operator is obtained from a ribbon category, it is reasonable to expect that two approaches would result in the same invariant. We prove that indeed the two link invariants are the same after normalizations. As examples, we study a new family of gYB-operators which is obtained from the ribbon fusion categories SO (N)2, where N is an odd integer. These operators are given by 8 × 8 matrices with the parameter N and the link invariants are specializations of the two-variable Kauffman polynomial invariant F.

scholarly journals Minimax estimation of qubit states with Bures risk

2018 ◽  
Vol 51 (17) ◽  
pp. 175307 ◽  
Author(s):  
Anirudh Acharya ◽  
Mădălin Guţă
Keyword(s):  
Minimax Estimation ◽  
Qubit States
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