Results 21 to 30 of about 14,182 (265)
Generalized group designs: constructing novel unitary 2-, 3- and 4-designs [PDF]
QuantumUnitary designs are essential tools in several quantum information protocols. Similarly to other design concepts, unitary designs are mainly used to facilitate averaging over a relevant space, in this case, the unitary group $\mathrm{U}(d)$.
Ágoston Kaposi +3 more
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Designing locally maximally entangled quantum states with arbitrary local symmetries [PDF]
Quantum, 2021 One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries.
Oskar Słowik +2 more
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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
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Unitary quantization of a scalar charged field and Schwinger effect
Journal of High Energy Physics, 2020 Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the requirement of a unitary implementation of the field dynamics in the ...
Luis J. Garay +2 more
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Unitary Representations of Unitary Groups [PDF]
, 2014 In this paper we review and streamline some results of Kirillov, Olshanski and Pickrell on unitary representations of the unitary group $\U(\cH)$ of a real, complex or quaternionic separable Hilbert space and the subgroup $\U_\infty(\cH)$, consisting of those unitary operators $g$ for which $g - \1$ is compact.
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Representations of Anisotropic Unitary Groups [PDF]
Transactions of the American Mathematical Society, 1988 Let S U ( f ) SU(f)
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Indefinite causal order strategy does not improve the estimation of group action [PDF]
QuantumWe consider estimation of unknown unitary operation when the set of possible unitary operations is given by a projective unitary representation of a compact group.
Masahito Hayashi
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Unitary Representations of Oligomorphic Groups [PDF]
Geometric and Functional Analysis, 2012 Removed the requirement that an oligomorphic group be closed in Definition 1.2 in order to render Theorem 2.4 correct.
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Unitary Groups: Representations and Decompositions [PDF]
Reviews of Modern Physics, 1966 An elementary account is given of the representation theory for unitary groups. We review the basic definitions and the construction of irreducible representations using tensor methods, and indicate the connection to the infinitesimal approach. Special attention has been given to the detailed procedure to obtain Clebsch-Gordan series and to the problem
Itzykson, C., Nauenberg, M.
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European Physical Journal C: Particles and Fields, 2018 We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ SO(1,4) in unitary irreducible representations.
Maja Burić +2 more
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