Results 21 to 30 of about 377,813 (234)
Extended Poincar\'e supersymmetry in three dimensions and supersymmetric anyons [PDF]
, 2012 We classify the unitary representations of the extended Poincar\'e supergroups in three dimensions. Irreducible unitary representations of any spin can appear, which correspond to supersymmetric anyons.
A. Tureanu +6 more
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Cocycles for Boson and Fermion Bogoliubov Transformations [PDF]
, 1993 Unitarily implementable Bogoliubov transformations for charged, relativistic bos\-ons and fermions are discussed, and explicit formulas for the 2-cocycles appearing in the group product of their implementers are derived. In the fermion case this provides
Langmann, Edwin
core +3 more sources
Units in $F_{2^k}D_{2n}$ [PDF]
International Journal of Group Theory, 2014 Let $F_q D_{2n}$ be the group algebra of $D_{2n}$, the dihedral group of order $2n$ over $F_q=GF(q)$. In this paper, we establish the structure of $U(F_{2^k}D_{2n})$, the unit group of $F_{2^k}D_{2n}$ and that of its normalized unitary subgroup $V_*(F_{2^
Neha Makhijani +2 more
doaj
Three-transmit-antenna space-time codes based on SU(3) [PDF]
, 2005 Fully diverse constellations, i.e., a set of unitary matrices whose pairwise differences are nonsingular, are useful in multiantenna communications especially in multiantenna differential modulation, since they have good pairwise error properties ...
Hassibi, Babak, Jing, Yindi
core +1 more source
Null infinity and unitary representation of the Poincare group
Journal of High Energy Physics, 2019 Following Pasterski-Shao-Strominger we construct a new basis of states in the single-particle Hilbert space of massless particles as a linear combination of standard Wigner states.
Shamik Banerjee
doaj +1 more source
On the Unitary Representations of the Braid Group B6
Mathematics, 2019 We consider a non-abelian leakage-free qudit system that consists of two qubits each composed of three anyons. For this system, we need to have a non-abelian four dimensional unitary representation of the braid group B 6 to obtain a totally ...
Malak M. Dally, Mohammad N. Abdulrahim
doaj +1 more source
Braiding quantum gates from partition algebras [PDF]
Quantum, 2020 Unitary braiding operators can be used as robust entangling quantum gates. We introduce a solution-generating technique to solve the $(d,m,l)$-generalized Yang-Baxter equation, for $m/2\leq l \leq m$, which allows to systematically construct such ...
Pramod Padmanabhan +2 more
doaj +1 more source
Pseudo-Unitary Operators and Pseudo-Unitary Quantum Dynamics
, 2003 We consider pseudo-unitary quantum systems and discuss various properties of pseudo-unitary operators. In particular we prove a characterization theorem for block-diagonalizable pseudo-unitary operators with finite-dimensional diagonal blocks ...
Ahmed Z. +19 more
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Unitary groups and commutators [PDF]
Proceedings of the American Mathematical Society, 1972 If H is a possibly unbounded selfadjoint operator and A is a closed operator in a Hilbert space, the relation ( U t − 1 A U t f ) ′ = i U t
openaire +2 more sources
Property testing of unitary operators
, 2011 In this paper, we systematically study property testing of unitary operators. We first introduce a distance measure that reflects the average difference between unitary operators.
A. W. Harrow +5 more
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