Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Robin Hillier"'
Publikováno v:
Quantum, Vol 8, p 1262 (2024)
The interaction between light and matter is one of the oldest research areas of quantum mechanics, and a field that just keeps on delivering new insights and applications. With the arrival of cavity and circuit quantum electrodynamics we can now achi
Externí odkaz:
https://doaj.org/article/ff6fc400607644efadd79200741e0fce
Publikováno v:
SciPost Physics, Vol 11, Iss 2, p 027 (2021)
Dynamical decoupling is the leading technique to remove unwanted interactions in a vast range of quantum systems through fast rotations. But what determines the time-scale of such rotations in order to achieve good decoupling? By providing an expl
Externí odkaz:
https://doaj.org/article/d936803552f94bc5b5f57ce5ab8de406
Dynamical decoupling is a key method to mitigate errors in a quantum mechanical system, and we studied it in a series of papers dealing in particular with the problems arising from unbounded Hamiltonians. The standard bangbang model of dynamical deco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06dc15c88e9ddcc7779132bdbc1f21a4
https://doi.org/10.1063/5.0101259
https://doi.org/10.1063/5.0101259
We prove that a haploid associative algebra in a $C^*$-tensor category $\mathcal{C}$ is equivalent to a Q-system (a special $C^*$-Frobenius algebra) in $\mathcal{C}$ if and only if it is rigid. This allows us to prove the unitarity of all the 70 stro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1788bd6cb7209c2d774bf140a0f7bc2
http://arxiv.org/abs/2211.12790
http://arxiv.org/abs/2211.12790
Publikováno v:
SciPost Physics, Vol 11, Iss 2, p 027 (2021)
Dynamical decoupling is the leading technique to remove unwanted interactions in a vast range of quantum systems through fast rotations. But what determines the time-scale of such rotations in order to achieve good decoupling? By providing an explici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbd78549a91cc954cc3051c12afc07da
https://doi.org/10.21468/scipostphys.11.2.027
https://doi.org/10.21468/scipostphys.11.2.027
We show that every finite-dimensional quantum system with Markovian (i.e., GKLS-generated) time evolution has an autonomous unitary dilation which can be dynamically decoupled. Since there is also always an autonomous unitary dilation which cannot be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4274772e065f371c78b71086bc6c1b62
http://arxiv.org/abs/2010.00279
http://arxiv.org/abs/2010.00279
We introduce the concept of completely positive roots of completely positive maps on operator algebras. We do this in different forms: as asymptotic roots, proper discrete roots and as continuous one-parameter semigroups of roots. We present structur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9921ade02d6b0fd71871aef9b53c8b1
We investigate the possibility to suppress interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional system. This method, called dynamical decoupling, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::815ed2b930eeec0248870dbf07ef8e9a
http://arxiv.org/abs/1704.06143
http://arxiv.org/abs/1704.06143
Publikováno v:
Communications in Mathematical Physics
We study the representation theory of a conformal net A on the circle from a K-theoretical point of view using its universal C*-algebra C*(A). We prove that if A satisfies the split property then, for every representation \pi of A with finite statist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5e6ba27157412b9ebd65bf6d722407c
https://doi.org/10.1007/s00220-012-1561-5
https://doi.org/10.1007/s00220-012-1561-5
Publikováno v:
Communications in Mathematical Physics
We construct infinite dimensional spectral triples associated with representations of the super-Virasoro algebra. In particular the irreducible, unitary positive energy representation of the Ramond algebra with central charge c and minimal lowest wei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df603448137530501ab79b40a2a68d55
https://doi.org/10.1007/s00220-009-0982-2
https://doi.org/10.1007/s00220-009-0982-2