scholarly journals Optimal realizations of generic five-point metrics

2009 ◽  
Vol 30 (5) ◽  
pp. 1164-1171 ◽  
Author(s):  
Jack Koolen ◽  
Alice Lesser ◽  
Vincent Moulton
Keyword(s):  
Optimal Realizations

scholarly journals Specifying the Unitary Evolution of a Qudit for a General Nonstationary Hamiltonian via the Generalized Gell-Mann Representation

Entropy ◽  
2020 ◽  
Vol 22 (5) ◽  
pp. 521
Author(s):  
Elena R. Loubenets ◽  
Christian Käding
Keyword(s):  
Vector Space ◽  
Wide Class ◽  
Analytical Study ◽  
Evolution Operator ◽  
Unit Vector ◽  
Time Dependent ◽  
Unitary Evolution ◽  
Analytical Expression ◽  
Optimal Realizations ◽  
Quantum Technology

Optimal realizations of quantum technology tasks lead to the necessity of a detailed analytical study of the behavior of a d-level quantum system (qudit) under a time-dependent Hamiltonian. In the present article, we introduce a new general formalism describing the unitary evolution of a qudit ( d ≥ 2 ) in terms of the Bloch-like vector space and specify how, in a general case, this formalism is related to finding time-dependent parameters in the exponential representation of the evolution operator under an arbitrary time-dependent Hamiltonian. Applying this new general formalism to a qubit case ( d = 2 ) , we specify the unitary evolution of a qubit via the evolution of a unit vector in R 4 , and this allows us to derive the precise analytical expression of the qubit unitary evolution operator for a wide class of nonstationary Hamiltonians. This new analytical expression includes the qubit solutions known in the literature only as particular cases.

scholarly journals Optimal realizations of two-dimensional, totally-decomposable metrics

2015 ◽  
Vol 338 (8) ◽  
pp. 1289-1299
Author(s):  
Sven Herrmann ◽  
Jack H. Koolen ◽  
Alice Lesser ◽  
Vincent Moulton ◽  
Taoyang Wu
Keyword(s):  
Two Dimensional ◽  
Optimal Realizations

Optimal Realizations of Passive Structures

2014 ◽  
Vol 62 (9) ◽  
pp. 4686-4694 ◽  
Author(s):  
Sven Nordebo ◽  
Mats Gustafsson ◽  
Borje Nilsson ◽  
Daniel Sjoberg
Keyword(s):  
Optimal Realizations

Optimal realizations and the block decomposition of a finite metric space

2021 ◽  
Vol 302 ◽  
pp. 103-113
Author(s):  
Katharina T. Huber ◽  
Vincent Moulton ◽  
Andreas Spillner
Keyword(s):  
Metric Space ◽  
Block Decomposition ◽  
Finite Metric Space ◽  
Optimal Realizations
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