Results 21 to 30 of about 291,999 (216)

An efficient high dimensional quantum Schur transform [PDF]

open access: yesQuantum, 2019
The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$.
Hari Krovi
doaj   +1 more source

Generalized group designs: constructing novel unitary 2-, 3- and 4-designs [PDF]

open access: yesQuantum
Unitary 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
doaj   +1 more source

Null infinity and unitary representation of the Poincare group

open access: yesJournal 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

Unitary quantization of a scalar charged field and Schwinger effect

open access: yesJournal 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
doaj   +1 more source

Designing locally maximally entangled quantum states with arbitrary local symmetries [PDF]

open access: yesQuantum, 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
doaj   +1 more source

Twisted Blanchfield pairings and symmetric chain complexes [PDF]

open access: yes, 2016
We define the twisted Blanchfield pairing of a symmetric triad of chain complexes over a group ring Z[G], together with a unitary representation of G over an Ore domain with involution. We prove that the pairing is sesquilinear, and we prove that it is
Powell, Mark
core   +2 more sources

Indefinite causal order strategy does not improve the estimation of group action [PDF]

open access: yesQuantum
We 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
doaj   +1 more source

Endomorphisms of spaces of virtual vectors fixed by a discrete group

open access: yes, 2015
Consider a unitary representation $\pi$ of a discrete group $G$, which, when restricted to an almost normal subgroup $\Gamma\subseteq G$, is of type II.
Radulescu, Florin
core   +1 more source

Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations

open access: yes, 2007
We investigate the equivalence of bipartite quantum mixed states under local unitary transformations by introducing representation classes from a geometrical approach.
Chen K.   +6 more
core   +1 more source

Fuzzy de Sitter space

open access: yesEuropean 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
doaj   +1 more source

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